Wikiversity enwikiversity https://en.wikiversity.org/wiki/Wikiversity:Main_Page MediaWiki 1.47.0-wmf.14 first-letter Media Special Talk User User talk Wikiversity Wikiversity talk File File talk MediaWiki MediaWiki talk Template Template talk Help Help talk Category Category talk School School talk Portal Portal talk Topic Topic talk Collection Collection talk Draft Draft talk TimedText TimedText talk Module Module talk Event Event talk 0 125585 2821139 2616447 2026-08-09T10:20:47Z ~2026-43790-01 3106157 /* Writing assignment assignment assignment assignment */ 2821139 wikitext text/x-wiki [[File:Hopetoun falls.jpg|thumb|300px|{{center top}}Hopetoun Falls], [[Australia]]{{center bottom}}]] [[File:Galunggung.jpg|thumb|right|300px|{{center top}}[[Lightning]] strikes during the eruption of the huge Galunggung [[volcano]], West Java, in 1982.{{center bottom}}]] [[w:Nature|Nature]] is everywhere. Nature in a very broad stamente is everything you can see outside: *Trees *Ponds *Lakes *Rivers *Grass *Etc. Nature is also the animals world. Now with human dominance animals are losing their homes becuase humans are destorying the nature that they are adapted to, or habitats. == Writing assignment == *Read Mayer, F. Stephan, et al. "Why is nature beneficial? The role of connectedness to nature." Environment and behavior 41.5 (2009): 607-643. :It can be found at the following websites: :#<code><nowiki>httpsassembling is ://www.themablog.com/2018/09/everything-humans-have-needed-to.html</nowiki></code> :# https://www.researchgate.net/publication/238428905_Why_Is_Nature_BeneficialThe_Role_of_Connectedness_to_Nature :If you find any other copies of this article on the internet, add it to this list (sites often get taken down.) If Wikiversity refuses to let you save the external link, use {{nowrap|<code><big>‹</big>nowiki<big>›</big>(url)<big>‹</big>/nowiki<big>›</big></code>}} to "dewikify" the url. Be sure to first use Google to check whether the url is harmless, and don't click such a link on a computer if picking up unfriendly software might be a problem. *Write a reflective essay on this subject. For ideas, you might want to visit the following Wikiversity pages: :#[[Motivation and emotion/Book/2022/Green prescription motivation]] :#[[ACR/Nature]] :#[[Environmental psychology]] To begin your essay, enter title that is not already on the '''List of contributions''', and start your draft. <br>If you wish to change your title, or have any other questions, visit the ''[[Wikiversity:Colloquium]]''. {{RoundBoxTop|theme=1}}<inputbox> type=create width=110 buttonlabel=Click here to create a place to write break=no prefix={{FULLPAGENAME}}/ placeholder=Title of essay </inputbox>{{RoundBoxBottom}} ;List of contributions {{Special:Prefixindex/{{FULLPAGENAME}}/|hideredirects=0|stripprefix=1}} [[Category:Open essay collections]] ---- [[Category:Nature]] 9x8ini5zo6yny0b2aixhaupb45a4re5 2821140 2821139 2026-08-09T11:23:56Z MathXplore 2888076 Reverted edit by [[Special:Contributions/~2026-43790-01|~2026-43790-01]] ([[User_talk:~2026-43790-01|talk]]) to last version by [[User:Guy vandegrift|Guy vandegrift]] using [[Wikiversity:Rollback|rollback]] 2616447 wikitext text/x-wiki [[File:Hopetoun falls.jpg|thumb|300px|{{center top}}Hopetoun Falls], [[Australia]]{{center bottom}}]] [[File:Galunggung.jpg|thumb|right|300px|{{center top}}[[Lightning]] strikes during the eruption of the huge Galunggung [[volcano]], West Java, in 1982.{{center bottom}}]] [[w:Nature|Nature]] is everywhere. Nature in a very broad stamente is everything you can see outside: *Trees *Ponds *Lakes *Rivers *Grass *Etc. Nature is also the animals world. Now with human dominance animals are losing their homes becuase humans are destorying the nature that they are adapted to, or habitats. == Writing assignment == *Read Mayer, F. Stephan, et al. "Why is nature beneficial? The role of connectedness to nature." Environment and behavior 41.5 (2009): 607-643. :It can be found at the following websites: :#<code><nowiki>https://www.themablog.com/2018/09/everything-humans-have-needed-to.html</nowiki></code> :# https://www.researchgate.net/publication/238428905_Why_Is_Nature_BeneficialThe_Role_of_Connectedness_to_Nature :If you find any other copies of this article on the internet, add it to this list (sites often get taken down.) If Wikiversity refuses to let you save the external link, use {{nowrap|<code><big>‹</big>nowiki<big>›</big>(url)<big>‹</big>/nowiki<big>›</big></code>}} to "dewikify" the url. Be sure to first use Google to check whether the url is harmless, and don't click such a link on a computer if picking up unfriendly software might be a problem. *Write a reflective essay on this subject. For ideas, you might want to visit the following Wikiversity pages: :#[[Motivation and emotion/Book/2022/Green prescription motivation]] :#[[ACR/Nature]] :#[[Environmental psychology]] To begin your essay, enter title that is not already on the '''List of contributions''', and start your draft. <br>If you wish to change your title, or have any other questions, visit the ''[[Wikiversity:Colloquium]]''. {{RoundBoxTop|theme=1}}<inputbox> type=create width=110 buttonlabel=Click here to create a place to write break=no prefix={{FULLPAGENAME}}/ placeholder=Title of essay </inputbox>{{RoundBoxBottom}} ;List of contributions {{Special:Prefixindex/{{FULLPAGENAME}}/|hideredirects=0|stripprefix=1}} [[Category:Open essay collections]] ---- [[Category:Nature]] jx18q9tfy0zv5wncrhuylrg9lf08vu5 0 139384 2821065 2820916 2026-08-08T14:02:29Z Young1lim 21186 /* Adder */ 2821065 wikitext text/x-wiki == Adder == * Binary Adder Architecture Exploration ( [[Media:Adder.20131113.pdf|pdf]] ) {| class="wikitable" |- ! Adder type !! Overview !! Analysis !! VHDL Level Design !! CMOS Level Design |- | '''1. Ripple Carry Adder''' || [[Media:VLSI.Arith.1A.RCA.20250522.pdf|A]]|| || [[Media:Adder.rca.20140313.pdf|pdf]] || [[Media:VLSI.Arith.1D.RCA.CMOS.20211108.pdf|pdf]] |- | '''2. Carry Lookahead Adder''' || [[Media:VLSI.Arith.2A.CLA.20260722.pdf|A]], [[Media:VLSI.Arith.2B.CLA.20260807.pdf|B]], [[Media:VLSI.Arith.2C.CLA.20260807.pdf|C]], [[Media:VLSI.Arith.2D.CLA.20260720.pdf|D]] || || [[Media:Adder.cla.20140313.pdf|pdf]]|| |- | '''3. Carry Save Adder''' || [[Media:VLSI.Arith.1.A.CSave.20151209.pdf|A]]|| || || |- || '''4. Carry Select Adder''' || [[Media:VLSI.Arith.1.A.CSelA.20191002.pdf|A]]|| || || |- || '''5. Carry Skip Adder''' || [[Media:VLSI.Arith.5A.CSkip.20250405.pdf|A]]|| || || [[Media:VLSI.Arith.5D.CSkip.CMOS.20211108.pdf|pdf]] |- || '''6. Carry Chain Adder''' || [[Media:VLSI.Arith.6A.CCA.20211109.pdf|A]]|| || [[Media:VLSI.Arith.6C.CCA.VHDL.20211109.pdf|pdf]], [[Media:Adder.cca.20140313.pdf|pdf]] || [[Media:VLSI.Arith.6D.CCA.CMOS.20211109.pdf|pdf]] |- || '''7. Kogge-Stone Adder''' || [[Media:VLSI.Arith.1.A.KSA.20140315.pdf|A]]|| || [[Media:Adder.ksa.20140409.pdf|pdf]]|| |- || '''8. Prefix Adder''' || [[Media:VLSI.Arith.1.A.PFA.20140314.pdf|A]]|| || || |- || '''9.1 Variable Block Adder''' || [[Media:VLSI.Arith.1A.VBA.20221110.pdf|A]], [[Media:VLSI.Arith.1B.VBA.20230911.pdf|B]], [[Media:VLSI.Arith.1C.VBA.20240622.pdf|C]], [[Media:VLSI.Arith.1C.VBA.20250218.pdf|D]]|| || || |- || '''9.2 Multi-Level Variable Block Adder''' || [[Media:VLSI.Arith.1.A.VBA-Multi.20221031.pdf|A]]|| || || |} </br> === Adder Architectures Suitable for FPGA === * FPGA Carry-Chain Adder ([[Media:VLSI.Arith.1.A.FPGA-CCA.20210421.pdf|pdf]]) * FPGA Carry Select Adder ([[Media:VLSI.Arith.1.B.FPGA-CarrySelect.20210522.pdf|pdf]]) * FPGA Variable Block Adder ([[Media:VLSI.Arith.1.C.FPGA-VariableBlock.20220125.pdf|pdf]]) * FPGA Carry Lookahead Adder ([[Media:VLSI.Arith.1.D.FPGA-CLookahead.20210304.pdf|pdf]]) * Carry-Skip Adder </br> == Barrel Shifter == * Barrel Shifter Architecture Exploration ([[Media:Bshift.20131105.pdf|bshfit.vhdl]], [[Media:Bshift.makefile.20131109.pdf|bshfit.makefile]]) </br> '''Mux Based Barrel Shifter''' * Analysis ([[Media:Arith.BShfiter.20151207.pdf|pdf]]) * Implementation </br> == Multiplier == === Array Multipliers === * Analysis ([[Media:VLSI.Arith.1.A.Mult.20151209.pdf|pdf]]) </br> === Tree Mulltipliers === * Lattice Multiplication ([[Media:VLSI.Arith.LatticeMult.20170204.pdf|pdf]]) * Wallace Tree ([[Media:VLSI.Arith.WallaceTree.20170204.pdf|pdf]]) * Dadda Tree ([[Media:VLSI.Arith.DaddaTree.20170701.pdf|pdf]]) </br> === Booth Multipliers === * [[Media:RNS4.BoothEncode.20161005.pdf|Booth Encoding Note]] * Booth Multiplier Note ([[Media:BoothMult.20160929.pdf|H1.pdf]]) </br> == Divider == * Binary Divider ([[Media:VLSI.Arith.1.A.Divider.20131217.pdf|pdf]])</br> </br> </br> go to [ [[Electrical_%26_Computer_Engineering_Studies]] ] [[Category:Digital Circuit Design]] [[Category:FPGA]] 7u4rpocq3hwe81wmy36xxq12dnci2oc 2821070 2821065 2026-08-08T14:07:07Z Young1lim 21186 /* Adder */ 2821070 wikitext text/x-wiki == Adder == * Binary Adder Architecture Exploration ( [[Media:Adder.20131113.pdf|pdf]] ) {| class="wikitable" |- ! Adder type !! Overview !! Analysis !! VHDL Level Design !! CMOS Level Design |- | '''1. Ripple Carry Adder''' || [[Media:VLSI.Arith.1A.RCA.20250522.pdf|A]]|| || [[Media:Adder.rca.20140313.pdf|pdf]] || [[Media:VLSI.Arith.1D.RCA.CMOS.20211108.pdf|pdf]] |- | '''2. Carry Lookahead Adder''' || [[Media:VLSI.Arith.2A.CLA.20260722.pdf|A]], [[Media:VLSI.Arith.2B.CLA.20260807-1.pdf|B]], [[Media:VLSI.Arith.2C.CLA.20260807.pdf|C]], [[Media:VLSI.Arith.2D.CLA.20260720.pdf|D]] || || [[Media:Adder.cla.20140313.pdf|pdf]]|| |- | '''3. Carry Save Adder''' || [[Media:VLSI.Arith.1.A.CSave.20151209.pdf|A]]|| || || |- || '''4. Carry Select Adder''' || [[Media:VLSI.Arith.1.A.CSelA.20191002.pdf|A]]|| || || |- || '''5. Carry Skip Adder''' || [[Media:VLSI.Arith.5A.CSkip.20250405.pdf|A]]|| || || [[Media:VLSI.Arith.5D.CSkip.CMOS.20211108.pdf|pdf]] |- || '''6. Carry Chain Adder''' || [[Media:VLSI.Arith.6A.CCA.20211109.pdf|A]]|| || [[Media:VLSI.Arith.6C.CCA.VHDL.20211109.pdf|pdf]], [[Media:Adder.cca.20140313.pdf|pdf]] || [[Media:VLSI.Arith.6D.CCA.CMOS.20211109.pdf|pdf]] |- || '''7. Kogge-Stone Adder''' || [[Media:VLSI.Arith.1.A.KSA.20140315.pdf|A]]|| || [[Media:Adder.ksa.20140409.pdf|pdf]]|| |- || '''8. Prefix Adder''' || [[Media:VLSI.Arith.1.A.PFA.20140314.pdf|A]]|| || || |- || '''9.1 Variable Block Adder''' || [[Media:VLSI.Arith.1A.VBA.20221110.pdf|A]], [[Media:VLSI.Arith.1B.VBA.20230911.pdf|B]], [[Media:VLSI.Arith.1C.VBA.20240622.pdf|C]], [[Media:VLSI.Arith.1C.VBA.20250218.pdf|D]]|| || || |- || '''9.2 Multi-Level Variable Block Adder''' || [[Media:VLSI.Arith.1.A.VBA-Multi.20221031.pdf|A]]|| || || |} </br> === Adder Architectures Suitable for FPGA === * FPGA Carry-Chain Adder ([[Media:VLSI.Arith.1.A.FPGA-CCA.20210421.pdf|pdf]]) * FPGA Carry Select Adder ([[Media:VLSI.Arith.1.B.FPGA-CarrySelect.20210522.pdf|pdf]]) * FPGA Variable Block Adder ([[Media:VLSI.Arith.1.C.FPGA-VariableBlock.20220125.pdf|pdf]]) * FPGA Carry Lookahead Adder ([[Media:VLSI.Arith.1.D.FPGA-CLookahead.20210304.pdf|pdf]]) * Carry-Skip Adder </br> == Barrel Shifter == * Barrel Shifter Architecture Exploration ([[Media:Bshift.20131105.pdf|bshfit.vhdl]], [[Media:Bshift.makefile.20131109.pdf|bshfit.makefile]]) </br> '''Mux Based Barrel Shifter''' * Analysis ([[Media:Arith.BShfiter.20151207.pdf|pdf]]) * Implementation </br> == Multiplier == === Array Multipliers === * Analysis ([[Media:VLSI.Arith.1.A.Mult.20151209.pdf|pdf]]) </br> === Tree Mulltipliers === * Lattice Multiplication ([[Media:VLSI.Arith.LatticeMult.20170204.pdf|pdf]]) * Wallace Tree ([[Media:VLSI.Arith.WallaceTree.20170204.pdf|pdf]]) * Dadda Tree ([[Media:VLSI.Arith.DaddaTree.20170701.pdf|pdf]]) </br> === Booth Multipliers === * [[Media:RNS4.BoothEncode.20161005.pdf|Booth Encoding Note]] * Booth Multiplier Note ([[Media:BoothMult.20160929.pdf|H1.pdf]]) </br> == Divider == * Binary Divider ([[Media:VLSI.Arith.1.A.Divider.20131217.pdf|pdf]])</br> </br> </br> go to [ [[Electrical_%26_Computer_Engineering_Studies]] ] [[Category:Digital Circuit Design]] [[Category:FPGA]] 8yoshd02bwvcf5vppdxkvqp7vmbeew2 0 171005 2821074 2820919 2026-08-08T14:13:49Z Young1lim 21186 /* Geometric Series Examples */ 2821074 wikitext text/x-wiki Many of the functions that arise naturally in mathematics and real world applications can be extended to and regarded as complex functions, meaning the input, as well as the output, can be complex numbers <math>x+iy</math>, where <math>i=\sqrt{-1}</math>, in such a way that it is a more natural object to study. '''Complex analysis''', which used to be known as '''function theory''' or '''theory of functions of a single complex variable''', is a sub-field of analysis that studies such functions (more specifically, '''holomorphic''' functions) on the complex plane, or part (domain) or extension (Riemann surface) thereof. It notably has great importance in number theory, e.g. the [[Riemann zeta function]] (for the distribution of primes) and other <math>L</math>-functions, modular forms, elliptic functions, etc. <blockquote>The shortest path between two truths in the real domain passes through the complex domain. — [[wikipedia:Jacques_Hadamard|Jacques Hadamard]]</blockquote>In a certain sense, the essence of complex functions is captured by the principle of [[analytic continuation]].{{mathematics}} ==''' Complex Functions '''== * Complex Functions ([[Media:CAnal.1.A.CFunction.20140222.Basic.pdf|1.A.pdf]], [[Media:CAnal.1.B.CFunction.20140111.Octave.pdf|1.B.pdf]], [[Media:CAnal.1.C.CFunction.20140111.Extend.pdf|1.C.pdf]]) * Complex Exponential and Logarithm ([[Media:CAnal.5.A.CLog.20131017.pdf|5.A.pdf]], [[Media:CAnal.5.A.Octave.pdf|5.B.pdf]]) * Complex Trigonometric and Hyperbolic ([[Media:CAnal.7.A.CTrigHyper..pdf|7.A.pdf]], [[Media:CAnal.7.A.Octave..pdf|7.B.pdf]]) '''Complex Function Note''' : 1. Exp and Log Function Note ([[Media:ComplexExp.29160721.pdf|H1.pdf]]) : 2. Trig and TrigH Function Note ([[Media:CAnal.Trig-H.29160901.pdf|H1.pdf]]) : 3. Inverse Trig and TrigH Functions Note ([[Media:CAnal.Hyper.29160829.pdf|H1.pdf]]) ==''' Complex Integrals '''== * Complex Integrals ([[Media:CAnal.2.A.CIntegral.20140224.Basic.pdf|2.A.pdf]], [[Media:CAnal.2.B.CIntegral.20140117.Octave.pdf|2.B.pdf]], [[Media:CAnal.2.C.CIntegral.20140117.Extend.pdf|2.C.pdf]]) ==''' Complex Series '''== * Complex Series ([[Media:CPX.Series.20150226.2.Basic.pdf|3.A.pdf]], [[Media:CAnal.3.B.CSeries.20140121.Octave.pdf|3.B.pdf]], [[Media:CAnal.3.C.CSeries.20140303.Extend.pdf|3.C.pdf]]) ==''' Residue Integrals '''== * Residue Integrals ([[Media:CAnal.4.A.Residue.20140227.Basic.pdf|4.A.pdf]], [[Media:CAnal.4.B.pdf|4.B.pdf]], [[Media:CAnal.4.C.Residue.20140423.Extend.pdf|4.C.pdf]]) ==='''Residue Integrals Note'''=== * Laurent Series with the Residue Theorem Note ([[Media:Laurent.1.Residue.20170713.pdf|H1.pdf]]) * Laurent Series with Applications Note ([[Media:Laurent.2.Applications.20170327.pdf|H1.pdf]]) * Laurent Series and the z-Transform Note ([[Media:Laurent.3.z-Trans.20170831.pdf|H1.pdf]]) * Laurent Series as a Geometric Series Note ([[Media:Laurent.4.GSeries.20170802.pdf|H1.pdf]]) === Laurent Series and the z-Transform Example Note === * Overview ([[Media:Laurent.4.z-Example.20170926.pdf|H1.pdf]]) ====Geometric Series Examples==== * Causality ([[Media:Laurent.5.Causality.1.A.20191026n.pdf|A.pdf]], [[Media:Laurent.5.Causality.1.B.20191026.pdf|B.pdf]]) * Time Shift ([[Media:Laurent.5.TimeShift.2.A.20191028.pdf|A.pdf]], [[Media:Laurent.5.TimeShift.2.B.20191029.pdf|B.pdf]]) * Reciprocity ([[Media:Laurent.5.Reciprocity.3A.20191030.pdf|A.pdf]], [[Media:Laurent.5.Reciprocity.3B.20191031.pdf|B.pdf]]) * Combinations ([[Media:Laurent.5.Combination.4A.20200702.pdf|A.pdf]], [[Media:Laurent.5.Combination.4B.20201002.pdf|B.pdf]]) * Properties ([[Media:Laurent.5.Property.5A.20220105.pdf|A.pdf]], [[Media:Laurent.5.Property.5B.20220126.pdf|B.pdf]]) * Permutations ([[Media:Laurent.6.Permutation.6A.20230711.pdf|A.pdf]], [[Media:Laurent.5.Permutation.6B.20251225.pdf|B.pdf]], [[Media:Laurent.5.Permutation.6C.20260807.pdf|C.pdf]], [[Media:Laurent.5.Permutation.6C.20240528.pdf|D.pdf]]) * Applications ([[Media:Laurent.5.Application.6B.20220723.pdf|A.pdf]]) * Double Pole Case :- Examples ([[Media:Laurent.5.DPoleEx.7A.20220722.pdf|A.pdf]], [[Media:Laurent.5.DPoleEx.7B.20220720.pdf|B.pdf]]) :- Properties ([[Media:Laurent.5.DPoleProp.5A.20190226.pdf|A.pdf]], [[Media:Laurent.5.DPoleProp.5B.20190228.pdf|B.pdf]]) ====The Case Examples==== * Example Overview : ([[Media:Laurent.4.Example.0.A.20171208.pdf|0A.pdf]], [[Media:Laurent.6.CaseExample.0.B.20180205.pdf|0B.pdf]]) * Example Case 1 : ([[Media:Laurent.4.Example.1.A.20171107.pdf|1A.pdf]], [[Media:Laurent.4.Example.1.B.20171227.pdf|1B.pdf]]) * Example Case 2 : ([[Media:Laurent.4.Example.2.A.20171107.pdf|2A.pdf]], [[Media:Laurent.4.Example.2.B.20171227.pdf|2B.pdf]]) * Example Case 3 : ([[Media:Laurent.4.Example.3.A.20171017.pdf|3A.pdf]], [[Media:Laurent.4.Example.3.B.20171226.pdf|3B.pdf]]) * Example Case 4 : ([[Media:Laurent.4.Example.4.A.20171017.pdf|4A.pdf]], [[Media:Laurent.4.Example.4.B.20171228.pdf|4B.pdf]]) * Example Summary : ([[Media:Laurent.4.Example.5.A.20171212.pdf|5A.pdf]], [[Media:Laurent.4.Example.5.B.20171230.pdf|5B.pdf]]) ==''' Conformal Mapping '''== * Conformal Mapping ([[Media:CAnal.6.A.Conformal.20131224.pdf|6.A.pdf]], [[Media:CAnal.6.A.Octave..pdf|6.B.pdf]]) go to [ [[Electrical_%26_Computer_Engineering_Studies]] ] [[Category:Complex analysis]] adsflkxswy4ol56n6cepvygucf7z08w 0 226011 2821138 2802576 2026-08-09T10:16:19Z Bert Niehaus 2387134 /* Non-Digital Version Control */ 2821138 wikitext text/x-wiki The concept of Public-Private-Versioning combines * a private branch (READ-ONLY) as a quality assured reference with * one or many public branches (READ & WRITE) that can be altered by a community for adaptation to different requirements and constraints. Public and private branches * refer to each other * share the same licensing model (so that mutual updates and improvements are allowed) and * share a joint evolutionary time line (that is visible in the private branch. == Development Branches == In the evolution of digital content, new versions of the content are generated by: * removal of errors, * adding new content elements, * adapting the content to new requirements and constraints or : e.g. new scientific or technical knowledge, that requires the update of the digital content. === Main Types of Branches === The concept of Public-Private-Versioning (PPV) handles two main development branches for content: # '''Private Development Branch (PrivB):''' represents a quality assured development branch by an institution. # '''Public Development Branch (PubB):''' captures the community activities and open to public to read and contribute to the evolution of the content. === Mutual Update of Main Branches === Update workflow from '''PrivB to PubB''' can be driven by new scientific results or recent technical development that requires an update of the public branch. Other updates can be driven by quality assurance issues, in which the private branch authors act like any other community reviewers. If a special expertise in a certain topic is present the team of author could act like Wiki [[Wikiversity:Curators|Curators]] or [[Wikiversity:Custodianship|Custodians]], Major improvements of the Public Branch (PubB) could lead to an update from PubB to PrivB. So innovation driven by open community has an impact on releases of PubB. Proper acknowledgement of community contributions is a compulsory part of an '''PubB to PrivB''' workflow. == Objectives of Learning Resource == This learning resource introduces learners to * the concept of digital version control, * the relevance of public and private development branches for the freedom of content evolution and [[Trust|trust]] in certain releases/versions because they were quality assured from a certain institution or agency. == Version Control == === Wikiversity/Wikipedia and Version Control === In Wikiversity the software [https://www.mediawiki.org/wiki/MediaWiki MediaWiki]<ref>MediaWiki - PHP software package used for Wikipedia, WIkiversity and other Wiki products - 2017 - https://www.mediawiki.org/wiki/MediaWiki</ref> is used to manage the versions of articles. === Non-Digital Version Control === * Artists that create new versions of painting until the results satisfies their expectations about the composition and colors or the artists, e.g. by exploring different light settings in many versions (see [[w:Mont_Sainte-Victoire_(Cézanne)|Paul Cezanne and the Hill Mont Saint Victoire]] ). * The books have an enumeration of versions e.g. updated with new scientific findings or the content wants to refer to currebt. New release are created for [[Wikipedia:edition (book)|book editions]], when new chapters are inserted or errors are removed. * Especially [[Wikipedia:specification (technical standard)|technical standards]] change in time, so also digital and non-digital versions of handbooks are created and updated in multiple versions. * The use of [[Version Control]] and [[Information Systems]] transfers the publication workflows into a digital environment for the release management of OER versions. * [[Digital signature]] can be used sign quality assured versions as releases. Multiple organizations can sign a single version to show case their quality assurances for a specific release. === Digital Version Control === [[File:Revision controlled project visualization-2010-24-02.svg|thumb|upright|Example of the history a revision-controlled project; trunk is in green, branches in yellow, and graph is not a tree due to presence of merges (the red arrows) of versions.]] Version/revision control allows * checkout of current and old versions of [[w:digital media|digital media]], * branching of development, * merging of different branches of development into a join branches (fork), * discuss features and versions, * create releases, * ... These concepts (see [[wikipedia:revision control|Wikipedia:Revision control]]) can be applied on * Software (Origine of Version Control Software), * Text or * digital media in general Effective management and visualization of differences between versions is important especially for text documents in a non-binary format. == Private Versioning == Private versioning is performed by a group of authors that * allow public read access to the repository and * write access is limited to the group of authors (e.g. working group in an agency like [[Wikipedia:World_Health_Organization|WHO]]). === Private Version Control === [[Trust_in_Capacity_Building_Material|trust in capacity building material]] is mainly the trust of prospective users in the quality assurance of the group of authors. ==== GitHub or GitLab used for Wikiversity Content ==== Private versioning can be realized e.g. in [[Wikipedia:GitHub|GitHub]], [[Wikipedia:GitLab|GitLab]], ... or any other version control system that allows public read-only access and write access to a team, that assures the quality of selected versions. Version control concept provides transparency for * Who created, altered, * what, * when? Just like a MediaWiki is allows a version control of content (e.g. wiki source content). Furthermore is allows different development strains/branches that can be merged or developed separately and independently for different target groups of settings in which the content should be applied. Forking (create a new development branch) is possible but the quality assured version can be updated by the team members only. The management of versions is more complicated due the available features than the version control in the MediaWiki (handle just one development branch for a resource). Nevertheless branching can be created by copy-and-paste in new Wikiversity resources. GitHub, Bitbucket and co. can be used if a group of authors wants a transparent version control for the content, but do not want or do not have the capacity to setup their own [[Wikipedia:git|git]]-Server infrastructure for version control. ==== Official Web-Portals for Quality Assured Content ==== It is not necessary that the quality assured versions are stored in GitHub as technical solution. Quality assured Capacity Building material can be published by an organization on the web portal<ref>WHO Campaign - Clean Care Safer Care - Tools, rationals, self-assessment - 2005-2015 - http://www.who.int/infection-prevention/campaigns/clean-hands/background/en/ </ref> e.g. [http://www.who.int/infection-prevention/campaigns/clean-hands/background/en/ WHO] or [http://www.un-spider.org UN-SPIDER]. In turn public available resources need a '''[[Open Educational Resources|OER]]''' license, so that the [[w:capacity building|capacity building]] material can be adapted to local and regional requirements and constraints. === Select Private or Public version? === If prospective users trust in a group of authors, organization or academic institution they might decide to use the latest quality assured version in the private versioning system in GitLab or the provided institutional versions instead the lasted version in Wikiversity. In general the public versions with community permissions to write or edit the data have included the latest information and changes, but the latest alteration in the version might not be quality assured already. A public version might incorporate the latest scientific development or latest events in the learning resource. A general decision in favor or against the public or private version cannot be made. The decision is user-driven and dependent on the preferences and priority the user defines. Furthermore it is dependent on the [[trust]] a user has in the organization or individuals that provide the quality assured version. Therefore references in the wikiversity content to quality assured private version or organizations are recommended to be inserted in the learning resource, if they exist. This can be applicable to Wikipedia and other Wiki products as well. It is important that the user can * decide if wants use the lastest private or public version and * is able to validate, that the resource is maintained by the group of authors. [[Trust]] can be supported by technical approaches like [[digital signature]]. == Learning Task == * '''(Introduction)''' Learn about "Version Control" with an Github Example [https://www.youtube.com/watch?v=0fKg7e37bQE Youtube Video] * '''(Create a Repository)''' Create a private Online Repository (e.g. in BitBucket) [https://www.youtube.com/watch?v=ov3_CkObQm8 Youtube Video] * '''(Work with Versioning in Teams)''' select an article in Wikiversity of your choice and add the file to your private repository. For learning purpose use version control system at your school or institution if possible. If not use e.g. BitBucket with free acount for a small team with has not more than 5 team members. Create a joint article or a school project jointly in your small team. It is recommended to use version control system at your school or institution if possible, that allows free private versions, because beginners do not want to expose their work and experiments to the public. * '''(Create Versions in different Output Formats)''' Learn about [[Wikipedia:pandoc|PanDoc]] and about [[PanDocElectron]] to convert the Wikiversity content to other formats. * '''(From update Data to new Versions of Documents)''' Learn about [[KnitR]] for [[Dynamic Document Generation|dynamic content generation]] * Explore the concept for [[KnitR]] working with markdown an analyse possibilities to integrate [[KnitR]] in Wikiversity. Combine a versioned ** data resource ** script resource integrated directly in wiki language or versioned separately (PrivB) in GitHub, Bitbucket or other institutional versioning systems, that already exist. For Wikiversity a version system must be established for R-script too, to have a public development branch for the scripts to. Furthermore an R-backend for Wikiversity is necessary so that graphs are not integrated as images but as dynamic graph output of R. ** text resource i.e. the source text of any article or learning resource in Wikiversity or Wikipedia. * '''(Trust in Private Versions)''' Explore the document about the ''[[Wikiversity:Original_research|Original Research in Wikiversity]]''. What are similarities between that document and a general approach of public-private-versioning and how does the [[trust|individual trust]] in an author/instution affect the application of learning resource in an educational setting? * '''(Vesion Identification across different Repositories)'''Compare [http://en.wikipedia.org Wikipedia] and [http://www.scholarpedia.org Scholarpedia] and identify the role of public-private-versioning. What is missing to link public and private development branches? How could an [[Information systems|Information System]] for authors be designed, that supports a cross domain development of branches, version and releases? * '''([[w:en:Digital_object_identifier|DOI-Document Object Identifier]])''' Explain, what is a [[w:en:Digital_object_identifier|Document Object Index (DOI)]] as unique identifier for digital objects and how DOIs are issued! Describe how a [[w:en:Digital_object_identifier|DOI]] can be used for versions. Explain similaries and differences between DOIs and a primary key in a database. <hr> '''Comment:''' Google places advertisments before the video. Please replace the video links above with Wikiversity videos as soon as they are available. This comment can be removed as soon as the wiki community has creative commons learning videos as available resources as advetisment independent learning resources. Wikiversity or the wiki-community does not get any financial resources for linking the videos mentioned above. == See also == * [[Open Educational Resouces]] * [[Information Systems]] * [[Digital signature]] - Assure that the content was published by an author or a group of authors and check that the digital content was not altered. * [[Wikiversity:Original_research|Publish Original Research in Wikiversity]] * [[Trust]] * [[w:en:Digital_object_identifier|Document Object Identifier]] * [[Dynamic Document Generation]] * [[KnitR|KnitR and dynamic generation of new versions with updated data]] * [[Translation and Version Control]] == References == [[Category:Version Control]] [[Category:Document Management]] [[Category:Knowledge management]] [[Category:Information Management]] [[Category:Security Fundamentals]] [[Category:Public-Private-Versioning]] bm2qef8gtjof1tydc64qol9nqc585xa 0 285380 2821069 2820914 2026-08-08T14:05:26Z Young1lim 21186 /* Applications */ 2821069 wikitext text/x-wiki === Introduction === * Overview ([[Media:C01.Intro1.Overview.1.A.20170925.pdf |A.pdf]], [[Media:C01.Intro1.Overview.1.B.20170901.pdf |B.pdf]], [[Media:C01.Intro1.Overview.1.C.20170904.pdf |C.pdf]]) * Number System ([[Media:C01.Intro2.Number.1.A.20171023.pdf |A.pdf]], [[Media:C01.Intro2.Number.1.B.20170909.pdf |B.pdf]], [[Media:C01.Intro2.Number.1.C.20170914.pdf |C.pdf]]) * Memory System ([[Media:C01.Intro2.Memory.1.A.20170907.pdf |A.pdf]], [[Media:C01.Intro3.Memory.1.B.20170909.pdf |B.pdf]], [[Media:C01.Intro3.Memory.1.C.20170914.pdf |C.pdf]]) === Handling Repetition === * Control ([[Media:C02.Repeat1.Control.1.A.20170925.pdf |A.pdf]], [[Media:C02.Repeat1.Control.1.B.20170918.pdf |B.pdf]], [[Media:C02.Repeat1.Control.1.C.20170926.pdf |C.pdf]]) * Loop ([[Media:C02.Repeat2.Loop.1.A.20170925.pdf |A.pdf]], [[Media:C02.Repeat2.Loop.1.B.20170918.pdf |B.pdf]]) === Handling a Big Work === * Function Overview ([[Media:C03.Func1.Overview.1.A.20171030.pdf |A.pdf]], [[Media:C03.Func1.Oerview.1.B.20161022.pdf |B.pdf]]) * Functions & Variables ([[Media:C03.Func2.Variable.1.A.20161222.pdf |A.pdf]], [[Media:C03.Func2.Variable.1.B.20161222.pdf |B.pdf]]) * Functions & Pointers ([[Media:C03.Func3.Pointer.1.A.20161122.pdf |A.pdf]], [[Media:C03.Func3.Pointer.1.B.20161122.pdf |B.pdf]]) * Functions & Recursions ([[Media:C03.Func4.Recursion.1.A.20161214.pdf |A.pdf]], [[Media:C03.Func4.Recursion.1.B.20161214.pdf |B.pdf]]) === Handling Series of Data === ==== Background ==== * Background ([[Media:C04.Series0.Background.1.A.20180727.pdf |A.pdf]]) ==== Basics ==== * Pointers ([[Media:C04.S1.Pointer.1A.20240524.pdf |A.pdf]], [[Media:C04.Series2.Pointer.1.B.20161115.pdf |B.pdf]]) * Arrays ([[Media:C04.S2.Array.1A.20240514.pdf |A.pdf]], [[Media:C04.Series1.Array.1.B.20161115.pdf |B.pdf]]) * Array Pointers ([[Media:C04.S3.ArrayPointer.1A.20240208.pdf |A.pdf]], [[Media:C04.Series3.ArrayPointer.1.B.20181203.pdf |B.pdf]]) * Multi-dimensional Arrays ([[Media:C04.Series4.MultiDim.1.A.20221130.pdf |A.pdf]], [[Media:C04.Series4.MultiDim.1.B.1111.pdf |B.pdf]]) * Array Access Methods ([[Media:C04.Series4.ArrayAccess.1.A.20190511.pdf |A.pdf]], [[Media:C04.Series3.ArrayPointer.1.B.20181203.pdf |B.pdf]]) * Structures ([[Media:C04.Series3.Structure.1.A.20171204.pdf |A.pdf]], [[Media:C04.Series2.Structure.1.B.20161130.pdf |B.pdf]]) ==== Examples ==== * Spreadsheet Example Programs :: Example 1 ([[Media:C04.Series7.Example.1.A.20171213.pdf |A.pdf]], [[Media:C04.Series7.Example.1.C.20171213.pdf |C.pdf]]) :: Example 2 ([[Media:C04.Series7.Example.2.A.20171213.pdf |A.pdf]], [[Media:C04.Series7.Example.2.C.20171213.pdf |C.pdf]]) :: Example 3 ([[Media:C04.Series7.Example.3.A.20171213.pdf |A.pdf]], [[Media:C04.Series7.Example.3.C.20171213.pdf |C.pdf]]) :: Bubble Sort ([[Media:C04.Series7.BubbleSort.1.A.20171211.pdf |A.pdf]]) ==== Applications ==== * Address-of and de-reference operators ([[Media:C04.SA0.PtrOperator.1A.20260807.pdf |A.pdf]]) * Applications of Pointers ([[Media:C04.SA1.AppPointer.1A.20241121.pdf |A.pdf]]) * Applications of Arrays ([[Media:C04.SA2.AppArray.1A.20240715.pdf |A.pdf]]) * Applications of Array Pointers ([[Media:C04.SA3.AppArrayPointer.1A.20240210.pdf |A.pdf]]) * Applications of Multi-dimensional Arrays ([[Media:C04.Series4App.MultiDim.1.A.20210719.pdf |A.pdf]]) * Applications of Array Access Methods ([[Media:C04.Series9.AppArrAcess.1.A.20190511.pdf |A.pdf]]) * Applications of Structures ([[Media:C04.Series6.AppStruct.1.A.20190423.pdf |A.pdf]]) === Handling Various Kinds of Data === * Types ([[Media:C05.Data1.Type.1.A.20180217.pdf |A.pdf]], [[Media:C05.Data1.Type.1.B.20161212.pdf |B.pdf]]) * Typecasts ([[Media:C05.Data2.TypeCast.1.A.20180217.pdf |A.pdf]], [[Media:C05.Data2.TypeCast.1.B.20161216.pdf |A.pdf]]) * Operators ([[Media:C05.Data3.Operators.1.A.20161219.pdf |A.pdf]], [[Media:C05.Data3.Operators.1.B.20161216.pdf |B.pdf]]) * Files ([[Media:C05.Data4.File.1.A.20161124.pdf |A.pdf]], [[Media:C05.Data4.File.1.B.20161212.pdf |B.pdf]]) === Handling Low Level Operations === * Bitwise Operations ([[Media:BitOp.1.B.20161214.pdf |A.pdf]], [[Media:BitOp.1.B.20161203.pdf |B.pdf]]) * Bit Field ([[Media:BitField.1.A.20161214.pdf |A.pdf]], [[Media:BitField.1.B.20161202.pdf |B.pdf]]) * Union ([[Media:Union.1.A.20161221.pdf |A.pdf]], [[Media:Union.1.B.20161111.pdf |B.pdf]]) * Accessing IO Registers ([[Media:IO.1.A.20141215.pdf |A.pdf]], [[Media:IO.1.B.20161217.pdf |B.pdf]]) === Declarations === * Type Specifiers and Qualifiers ([[Media:C07.Spec1.Type.1.A.20171004.pdf |pdf]]) * Storage Class Specifiers ([[Media:C07.Spec2.Storage.1.A.20171009.pdf |pdf]]) * Scope === Class Notes === * TOC ([[Media:TOC.20171007.pdf |TOC.pdf]]) * Day01 ([[Media:Day01.A.20171007.pdf |A.pdf]], [[Media:Day01.B.20171209.pdf |B.pdf]], [[Media:Day01.C.20171211.pdf |C.pdf]]) ...... Introduction (1) Standard Library * Day02 ([[Media:Day02.A.20171007.pdf |A.pdf]], [[Media:Day02.B.20171209.pdf |B.pdf]], [[Media:Day02.C.20171209.pdf |C.pdf]]) ...... Introduction (2) Basic Elements * Day03 ([[Media:Day03.A.20171007.pdf |A.pdf]], [[Media:Day03.B.20170908.pdf |B.pdf]], [[Media:Day03.C.20171209.pdf |C.pdf]]) ...... Introduction (3) Numbers * Day04 ([[Media:Day04.A.20171007.pdf |A.pdf]], [[Media:Day04.B.20170915.pdf |B.pdf]], [[Media:Day04.C.20171209.pdf |C.pdf]]) ...... Structured Programming (1) Flowcharts * Day05 ([[Media:Day05.A.20171007.pdf |A.pdf]], [[Media:Day05.B.20170915.pdf |B.pdf]], [[Media:Day05.C.20171209.pdf |C.pdf]]) ...... Structured Programming (2) Conditions and Loops * Day06 ([[Media:Day06.A.20171007.pdf |A.pdf]], [[Media:Day06.B.20170923.pdf |B.pdf]], [[Media:Day06.C.20171209.pdf |C.pdf]]) ...... Program Control * Day07 ([[Media:Day07.A.20171007.pdf |A.pdf]], [[Media:Day07.B.20170926.pdf |B.pdf]], [[Media:Day07.C.20171209.pdf |C.pdf]]) ...... Function (1) Definitions * Day08 ([[Media:Day08.A.20171028.pdf |A.pdf]], [[Media:Day08.B.20171016.pdf |B.pdf]], [[Media:Day08.C.20171209.pdf |C.pdf]]) ...... Function (2) Storage Class and Scope * Day09 ([[Media:Day09.A.20171007.pdf |A.pdf]], [[Media:Day09.B.20171017.pdf |B.pdf]], [[Media:Day09.C.20171209.pdf |C.pdf]]) ...... Function (3) Recursion * Day10 ([[Media:Day10.A.20171209.pdf |A.pdf]], [[Media:Day10.B.20171017.pdf |B.pdf]], [[Media:Day10.C.20171209.pdf |C.pdf]]) ...... Arrays (1) Definitions * Day11 ([[Media:Day11.A.20171024.pdf |A.pdf]], [[Media:Day11.B.20171017.pdf |B.pdf]], [[Media:Day11.C.20171212.pdf |C.pdf]]) ...... Arrays (2) Applications * Day12 ([[Media:Day12.A.20171024.pdf |A.pdf]], [[Media:Day12.B.20171020.pdf |B.pdf]], [[Media:Day12.C.20171209.pdf |C.pdf]]) ...... Pointers (1) Definitions * Day13 ([[Media:Day13.A.20171025.pdf |A.pdf]], [[Media:Day13.B.20171024.pdf |B.pdf]], [[Media:Day13.C.20171209.pdf |C.pdf]]) ...... Pointers (2) Applications * Day14 ([[Media:Day14.A.20171226.pdf |A.pdf]], [[Media:Day14.B.20171101.pdf |B.pdf]], [[Media:Day14.C.20171209.pdf |C.pdf]]) ...... C String (1) * Day15 ([[Media:Day15.A.20171209.pdf |A.pdf]], [[Media:Day15.B.20171124.pdf |B.pdf]], [[Media:Day15.C.20171209.pdf |C.pdf]]) ...... C String (2) * Day16 ([[Media:Day16.A.20171208.pdf |A.pdf]], [[Media:Day16.B.20171114.pdf |B.pdf]], [[Media:Day16.C.20171209.pdf |C.pdf]]) ...... C Formatted IO * Day17 ([[Media:Day17.A.20171031.pdf |A.pdf]], [[Media:Day17.B.20171111.pdf |B.pdf]], [[Media:Day17.C.20171209.pdf |C.pdf]]) ...... Structure (1) Definitions * Day18 ([[Media:Day18.A.20171206.pdf |A.pdf]], [[Media:Day18.B.20171128.pdf |B.pdf]], [[Media:Day18.C.20171212.pdf |C.pdf]]) ...... Structure (2) Applications * Day19 ([[Media:Day19.A.20171205.pdf |A.pdf]], [[Media:Day19.B.20171121.pdf |B.pdf]], [[Media:Day19.C.20171209.pdf |C.pdf]]) ...... Union, Bitwise Operators, Enum * Day20 ([[Media:Day20.A.20171205.pdf |A.pdf]], [[Media:Day20.B.20171201.pdf |B.pdf]], [[Media:Day20.C.20171212.pdf |C.pdf]]) ...... Linked List * Day21 ([[Media:Day21.A.20171206.pdf |A.pdf]], [[Media:Day21.B.20171208.pdf |B.pdf]], [[Media:Day21.C.20171212.pdf |C.pdf]]) ...... File Processing * Day22 ([[Media:Day22.A.20171212.pdf |A.pdf]], [[Media:Day22.B.20171213.pdf |B.pdf]], [[Media:Day22.C.20171212.pdf |C.pdf]]) ...... Preprocessing <!----------------------------------------------------------------------> </br> See also https://cprogramex.wordpress.com/ == '''Old Materials '''== until 201201 * Intro.Overview.1.A ([[Media:C.Intro.Overview.1.A.20120107.pdf |pdf]]) * Intro.Memory.1.A ([[Media:C.Intro.Memory.1.A.20120107.pdf |pdf]]) * Intro.Number.1.A ([[Media:C.Intro.Number.1.A.20120107.pdf |pdf]]) * Repeat.Control.1.A ([[Media:C.Repeat.Control.1.A.20120109.pdf |pdf]]) * Repeat.Loop.1.A ([[Media:C.Repeat.Loop.1.A.20120113.pdf |pdf]]) * Work.Function.1.A ([[Media:C.Work.Function.1.A.20120117.pdf |pdf]]) * Work.Scope.1.A ([[Media:C.Work.Scope.1.A.20120117.pdf |pdf]]) * Series.Array.1.A ([[Media:Series.Array.1.A.20110718.pdf |pdf]]) * Series.Pointer.1.A ([[Media:Series.Pointer.1.A.20110719.pdf |pdf]]) * Series.Structure.1.A ([[Media:Series.Structure.1.A.20110805.pdf |pdf]]) * Data.Type.1.A ([[Media:C05.Data2.TypeCast.1.A.20130813.pdf |pdf]]) * Data.TypeCast.1.A ([[Media:Data.TypeCast.1.A.pdf |pdf]]) * Data.Operators.1.A ([[Media:Data.Operators.1.A.20110712.pdf |pdf]]) <br> until 201107 * Intro.1.A ([[Media:Intro.1.A.pdf |pdf]]) * Control.1.A ([[Media:Control.1.A.20110706.pdf |pdf]]) * Iteration.1.A ([[Media:Iteration.1.A.pdf |pdf]]) * Function.1.A ([[Media:Function.1.A.20110705.pdf |pdf]]) * Variable.1.A ([[Media:Variable.1.A.20110708.pdf |pdf]]) * Operators.1.A ([[Media:Operators.1.A.20110712.pdf |pdf]]) * Pointer.1.A ([[Media:Pointer.1.A.pdf |pdf]]) * Pointer.2.A ([[Media:Pointer.2.A.pdf |pdf]]) * Array.1.A ([[Media:Array.1.A.pdf |pdf]]) * Type.1.A ([[Media:Type.1.A.pdf |pdf]]) * Structure.1.A ([[Media:Structure.1.A.pdf |pdf]]) go to [ [[C programming in plain view]] ] [[Category:C programming language]] </br> 3vguk3ebtrr00z6a2lpcvd2jxeks24v 0 305659 2821077 2821043 2026-08-08T17:02:32Z Unitfreak 695864 /* Bully Galactic Years */ 2821077 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a Solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second Bully timestamp. However, because the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest Bully timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}} || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] t23bxh4el0e3vc39einvlw4tusxtkk7 2821078 2821077 2026-08-08T17:09:35Z Unitfreak 695864 /* Bully Galactic Years */ 2821078 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}} || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] e3wp8yfh644f8hlpvzcfy37er89nrxs 2821079 2821078 2026-08-08T20:35:53Z Unitfreak 695864 /* Bully Galactic Weeks */ 2821079 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}} || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8200 0000 0000''' ==== {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}} || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] si15p7d86fyu1d4b0bxpnc2zkkfyc4h 2821080 2821079 2026-08-08T20:37:46Z Unitfreak 695864 /* Anchoring Timestamp 8200 0000 0000 */ 2821080 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}} || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8200 0000 0000''' ==== {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{0}{10}</math> Weeks}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}} || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] ny7ggm65j895n3hdsfmanr7djttl9ed 2821081 2821080 2026-08-08T20:40:01Z Unitfreak 695864 /* Anchoring Timestamp 8200 0000 0000 */ 2821081 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}} || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8200 0000 0000''' ==== {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{0}{10}</math> Weeks}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 4hywq9myasvpz548h33lgezxahlyzxe 2821082 2821081 2026-08-08T20:40:41Z Unitfreak 695864 /* Bully Galactic Weeks */ 2821082 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8200 0000 0000''' ==== {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{0}{10}</math> Weeks}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 7x5jk8ggz5xb35juqw3sj4mslnuo54c 2821083 2821082 2026-08-08T20:41:34Z Unitfreak 695864 /* Anchoring Timestamp 8200 0000 0000 */ 2821083 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8200 0000 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{0}{10}</math> Weeks}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] lnmjuhpblmn3frwrbgd310b5b35l15c 2821084 2821083 2026-08-08T20:42:14Z Unitfreak 695864 /* Anchoring Timestamp 8200 0000 0000 */ 2821084 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8200 0000 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{0}{10}</math> Weeks}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 627}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] i8nz35fpje3skr5hkcgk2moehw9ffix 2821085 2821084 2026-08-08T20:48:29Z Unitfreak 695864 /* Anchoring Timestamp 8200 0000 0000 */ 2821085 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8200 0000 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|8200 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|8200 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|8200 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|8200 0000 0000}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] gg28z51b5hr4rclucj6933m4cok47n9 2821086 2821085 2026-08-08T20:49:19Z Unitfreak 695864 /* Anchoring Timestamp 8200 0000 0000 */ 2821086 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8200 0000 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|8200 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|8200 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|8200 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|8200 0000 0000}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] k6vrgeu87ltyalh60boibui41syzq8e 2821087 2821086 2026-08-08T20:52:48Z Unitfreak 695864 /* Anchoring Timestamp 8200 0000 0000 */ 2821087 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8200 0000 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] jwm93knp5e9965s9mboip5063e6b049 2821088 2821087 2026-08-08T20:53:24Z Unitfreak 695864 /* Anchoring Timestamp 8200 0000 0000 */ 2821088 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8200 0000 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{color|blue|''800 parsecs''}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{color|blue|''900 parsecs''}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{color|blue|''1000 parsecs''}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{color|blue|''1100 parsecs''}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] bl7ayndzn7umc9o53yi8fwvav03c8l5 2821089 2821088 2026-08-08T20:54:23Z Unitfreak 695864 /* Anchoring Timestamp 8200 0000 0000 */ 2821089 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8200 0000 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{color|blue|''900 parsecs''}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{color|blue|''1000 parsecs''}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{color|blue|''1100 parsecs''}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 9fc8sf8sj5alsp7rnh615rcthg1pl6b 2821090 2821089 2026-08-08T20:55:29Z Unitfreak 695864 /* Anchoring Timestamp 8200 0000 0000 */ 2821090 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{color|blue|''900 parsecs''}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{color|blue|''1000 parsecs''}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{color|blue|''1100 parsecs''}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] alkj7ehfo67on6ezadt3ge1nwtoy4ua 2821091 2821090 2026-08-08T20:57:18Z Unitfreak 695864 /* Anchoring Timestamp 8209 2800 0000 */ 2821091 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] i3h66ctdm7g7vfkdn6d71h6zc979nfr 2821092 2821091 2026-08-08T21:16:00Z Unitfreak 695864 /* Anchoring Timestamp 8209 2800 0000 */ 2821092 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] pbu0qnodjbe2mtddr5sp4wv9rafot6i 2821093 2821092 2026-08-08T21:18:30Z Unitfreak 695864 /* Anchoring Timestamp 8209 2800 0000 */ 2821093 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] sprybbigg1mp1ujmoadd0x98o7g96nw 2821094 2821093 2026-08-08T21:19:53Z Unitfreak 695864 /* Anchoring Timestamp 8209 2800 0000 */ 2821094 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|1st Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 9seb0xnetijtbc3gk6qodqrbchrs7mp 2821095 2821094 2026-08-08T21:20:36Z Unitfreak 695864 /* Anchoring Timestamp 8209 2800 0000 */ 2821095 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] s58jqui0i56zabj4ukbcl2jjinlmxzm 2821096 2821095 2026-08-08T21:22:00Z Unitfreak 695864 /* Anchoring Timestamp 8209 2800 0000 */ 2821096 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] k7qce0v3o7cavvq099uyxdvxjvv8w1f 2821097 2821096 2026-08-08T21:26:25Z Unitfreak 695864 /* Anchoring Timestamp 8209 2800 0000 */ 2821097 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] st67et9sta3dtx5798cvpmrtu4dmh9j 2821098 2821097 2026-08-08T21:26:49Z Unitfreak 695864 /* Anchoring Timestamp 8209 2800 0000 */ 2821098 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be 8,275 parsecs (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] rfhrnkfb3bs16w5d0mvjt7rhnb8ajqe 2821099 2821098 2026-08-09T00:27:34Z Unitfreak 695864 /* The Galactic Calendar */ 2821099 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] === The Metonic Cycle === The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 1gciqrcu3doabf9b74w68dcbe4d3zfd 2821100 2821099 2026-08-09T00:34:12Z Unitfreak 695864 /* The Metonic Cycle */ 2821100 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, '''a solar velocity of 227.7 km/s was assumed'''—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the 227.7 km/s value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing this estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 2w84ombtj3rjgwpqq3yccwe27uhk6w3 2821101 2821100 2026-08-09T00:43:09Z Unitfreak 695864 /* Bully Galactic Years */ 2821101 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. The duration of the galactic year is not a fixed constant, but rather, it depends on the path that a particular star follows as it orbits (see Figure 5a). Stars closer to the center will orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localized near the Sun despite having vastly different historical orbital trajectories, visually illustrating the long-term uncertainty of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. '''A solar velocity of 227.7 km/s was assumed''' earlier in this resource—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the previous value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing the 227.7 km/s estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 0950oawh16dhb4oqgb7g5mzi076po19 2821102 2821101 2026-08-09T00:49:56Z Unitfreak 695864 /* The Galactic Calendar */ 2821102 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, the radius of that orbit would be [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), with a total circumference determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> This results in an orbital path of '''roughly 52,000 parsecs''' for the Sun following a '''perfectly circular galactic orbit'''. If we divide this perfect orbit into "Galactic Weeks", where each week represents the time required for the Sun to travel 1,000 parsecs, a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. '''A solar velocity of 227.7 km/s was assumed''' earlier in this resource—equating to a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, and the previous value was '''just a useful assumption'''. The table in '''Figure 5b''' illustrates how increasing the 227.7 km/s estimate to 238.8 km/s allows the highest orbital timestamp digits to map directly onto major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 7pb6qhu4ealw0xhyy48c9rg2so6wmjp 2821103 2821102 2026-08-09T02:10:17Z Unitfreak 695864 /* Bully Galactic Years */ 2821103 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. A solar velocity of '''227.7 km/s was assumed''' earlier in this resource—equating a travel distance of roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this 227.7 km/s baseline up to 238.8 km/s aligns the highest orbital timestamp digits directly with major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] jonomf6k1tbsei6ntmsm1zaxkgrs7hb 2821104 2821103 2026-08-09T02:23:32Z Unitfreak 695864 /* Bully Galactic Years */ 2821104 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ aligns the highest orbital timestamp digits directly with major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] jko764jgqrl2im1ahtvi5zgalo5qwwy 2821105 2821104 2026-08-09T02:27:37Z Unitfreak 695864 /* Bully Galactic Years */ 2821105 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] tlnt2atr428i7blucx0ff00kq2z1pyo 2821106 2821105 2026-08-09T02:30:21Z Unitfreak 695864 /* Bully Galactic Years */ 2821106 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Distance: Assume ''R''_☉ (pc) ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Distance: Assume 1.0488227 ''R''_☉ (pc) ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 65fnar13dd262v37v8jfz52a5e1ix0s 2821107 2821106 2026-08-09T02:36:24Z Unitfreak 695864 /* Bully Galactic Years */ 2821107 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs (pc) ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Distance: Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Distance: Assume 1.0488227 ''R''_☉ (pc) ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 74gz709fhaj2vg3neeoyi0qzyqihdbh 2821108 2821107 2026-08-09T02:38:22Z Unitfreak 695864 /* Bully Galactic Years */ 2821108 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs (pc) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Distance: Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Distance: Assume 1.0488227 ''R''_☉ (pc) ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 7ax3sg38jrbaszrx3dhj102lvjyn5lz 2821109 2821108 2026-08-09T02:41:06Z Unitfreak 695864 /* Bully Galactic Years */ 2821109 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="text-align: right; margin-top: 20px; margin-bottom: 40px;" |+ '''Figure 5b:''' Distance Conversions to Parsecs ! rowspan="2" | Time Duration ! colspan="3" | Assumed Solar Travel Distance During One Bully Timestamp |- ! Assume ''R''_☉ ! colspan="2" |Assume 1.0488227 ''R''_☉ |- | style="text-align: left;" | '''16¹¹ Bully timestamps''' | 396,635 parsecs | 416,000 parsecs | <math>8</math> Galactic Years |- | style="text-align: left;" | '''16¹⁰ Bully timestamps''' | 24,789.70 parsecs | 26,000 parsecs | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left;" | '''16⁹ Bully timestamps''' | 1,549.36 parsecs | 1,625 parsecs | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left;" | '''16⁸ Bully timestamps''' | 96.83 parsecs | 101.56 parsecs | <math>\frac{1}{512}</math> Galactic Years |- ! colspan="4" | Off Nominal Values |- | style="text-align: left;" | '''<math>2 \times 16^{10}</math> Bully timestamps''' | N/A | 52,000 parsecs | One Galactic Year |- | style="text-align: left;" | '''<math>\frac{16^{10}}{26}</math> Bully timestamps''' | N/A | 1,000 parsecs | One Galactic Week |- | style="text-align: left;" | '''<math>\frac{16^{10}}{260}</math> Bully timestamps''' | N/A | 100 parsecs | 0.1 Galactic Weeks |} {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Total Distance |- | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Distance: Assume 1.0488227 ''R''_☉ (pc) ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] qncj65svyghkd5ha5plplfac77v2dut 2821110 2821109 2026-08-09T02:42:42Z Unitfreak 695864 /* Bully Galactic Years */ 2821110 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Total Distance |- | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Distance: Assume 1.0488227 ''R''_☉ (pc) ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] bugi5k28dfan1jdtj8ofkyctkampj1r 2821111 2821110 2026-08-09T02:46:27Z Unitfreak 695864 /* Bully Galactic Years */ 2821111 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Total Distance ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Distance: Assume 1.0488227 ''R''_☉ (pc) |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 4qsf5b3cu7flspzs2uw6iyij5gklizy 2821112 2821111 2026-08-09T02:47:07Z Unitfreak 695864 /* Bully Galactic Years */ 2821112 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Total Distance ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Distance: Assume 1.0488227 ''R''_☉ (pc) |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 3rhz177jmxco1fbojyitqdwh1cu0ejn 2821113 2821112 2026-08-09T02:49:12Z Unitfreak 695864 /* Bully Galactic Years */ 2821113 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- | style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] o6k2u1ggrj8rhjofj8pvq62tfnxulx8 2821114 2821113 2026-08-09T02:50:03Z Unitfreak 695864 /* Bully Galactic Years */ 2821114 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] kgcllr7mx5nwilnl31mzd7gu7kpvmhy 2821115 2821114 2026-08-09T02:51:02Z Unitfreak 695864 /* Bully Galactic Years */ 2821115 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 6ks1cyj3g477ime88hj4qro355n5yxf 2821116 2821115 2026-08-09T02:53:54Z Unitfreak 695864 /* Bully Galactic Years */ 2821116 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! colspan="2" style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] c02ul541zj5b885vkypsyl9q7t31skj 2821117 2821116 2026-08-09T02:55:11Z Unitfreak 695864 /* Bully Galactic Years */ 2821117 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: right; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 57nufr58mh08v9pqoka7ovc512h1f5x 2821118 2821117 2026-08-09T02:56:15Z Unitfreak 695864 /* Bully Galactic Years */ 2821118 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Year |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Year |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 3imau1sgbk58zpska3ii1xwhdtaf234 2821119 2821118 2026-08-09T02:59:14Z Unitfreak 695864 /* Bully Galactic Years */ 2821119 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Years |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] dn6po3sb07rqa26yzeluc0lafnoli43 2821120 2821119 2026-08-09T03:04:03Z Unitfreak 695864 /* Anchoring Timestamp 8209 2800 0000 */ 2821120 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Years |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | 8 / 10 Weeks || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] a8wtvjjdgal12h4rekwqw67bj2ot8tu 2821121 2821120 2026-08-09T03:30:06Z Unitfreak 695864 /* Anchoring Timestamp 8209 2800 0000 */ 2821121 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Years |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8 / 10 Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] fy3cbczvbuuclmyrzynmrhj3od7bh98 2821122 2821121 2026-08-09T03:31:16Z Unitfreak 695864 /* Anchoring Timestamp 8209 2800 0000 */ 2821122 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Years |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] dn6po3sb07rqa26yzeluc0lafnoli43 2821123 2821122 2026-08-09T03:32:09Z Unitfreak 695864 /* The 66th Bully Galactic Year */ 2821123 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Years |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== Anchoring Timestamp '''8209 2800 0000''' ==== {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 97l4u1kpa6xc8dk78wn2j1govwws6rs 2821124 2821123 2026-08-09T03:32:44Z Unitfreak 695864 /* Anchoring Timestamp 8209 2800 0000 */ 2821124 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Years |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] p4g8jzz2ghvvn85nwjm530cs1l8lnpx 2821125 2821124 2026-08-09T04:02:21Z Unitfreak 695864 /* The 66th Bully Galactic Year */ 2821125 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Years |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. For each one thousand parsecs of travel distance, the table shows the Bully timestamp at which that milestone would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} [[File:Ophiuchus_Galactic_Equatorial_Node.png|thumb|center|600px|alt=An educational image illustrating the 6.44-degree separation between Sagittarius A* and the Ophiuchus Galactic Equatorial Node. The Node, moving in concert with the Sun, shifts away from Sagittarius A* at a rate of 2.70 mas per year in right ascension and 5.60 mas per year in declination. |'''Figure 5d:''' An image illustrating the 6.44-degree separation between Sagittarius A* and the Ophiuchus Galactic Equatorial Node.]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] 932hfs1wyr4cz4axsplpr2s9642hego 2821127 2821125 2026-08-09T04:14:58Z Unitfreak 695864 /* Bully Galactic Weeks */ 2821127 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Years |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. The table shows the Bully timestamp at which each one thousand parsecs of travel distance would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} [[File:Ophiuchus_Galactic_Equatorial_Node.png|thumb|center|600px|alt=An educational image illustrating the 6.44-degree separation between Sagittarius A* and the Ophiuchus Galactic Equatorial Node. The Node, moving in concert with the Sun, shifts away from Sagittarius A* at a rate of 2.70 mas per year in right ascension and 5.60 mas per year in declination. |'''Figure 5d:''' An image illustrating the 6.44-degree separation between Sagittarius A* and the Ophiuchus Galactic Equatorial Node.]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] m6k893vpwfmf6tbeu40wpsgg8afkb6d 2821128 2821127 2026-08-09T04:15:57Z Unitfreak 695864 /* Bully Galactic Weeks */ 2821128 wikitext text/x-wiki <small>[[Bully_Metric|Bully Metric Main Page]]<br /> [[Bully_Metric_Timestamps|Bully Metric Timestamps Main Page]]<br /> [https://unitfreak.github.io/Bully-Row-Timestamps/Java_Bully.html Current Bully Timestamp (GitHub)]<br /> </small> The '''Bully Metric Timestamp''' system is an alternative timekeeping framework that utilizes the orbit of the Sun around the Milky Way Galaxy to mark the passage of time. A new successive Bully timestamp is realized each time the Sun advances by approximately one solar radius along its path through the Galaxy. Using '''12-digit''' [[w:hexadecimal|hexadecimal]] timestamps, the Bully system has enough unique identifiers to span the entire history of the universe—from the Big Bang into the far-distant future. The total capacity of the system is: &thinsp; :<math>16^{12} \times 3,055 \text{ sec} \approx 27.25 \text{ billion years}</math> === One Solar Radius === [[File:Bully_Metric_Galactic_Orbit_1_Timestamp.png|thumb|right|450px|alt=Diagram showing the Sun advancing a distance equal to its own radius along its galactic trajectory over a period of 3055 seconds.|'''Figure 1:''' Motion of the Sun between two successive Bully timestamps.]] The Sun orbits the center of the Milky Way galaxy at a very fast speed, roughly 227.7 kilometers per second (km/s), which equals approximately 0.076% of the speed of light. Even though the Sun is moving very quickly, it is also physically immense. The radius of the Sun (<math>R_\odot</math>) is 695,700 kilometers. Dividing the solar radius by the galactic orbital velocity, we find that it takes approximately '''3055 seconds''' for the Sun to travel a distance equal to its own radius: &thinsp; :<math>\Delta t = \frac{695,700 \text{ km}}{227.7 \text{ km/s}} \approx 3055 \text{ seconds}</math> &thinsp; '''Figure 1''' illustrates the physical movement of the Sun between two successive Bully timestamps. Timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI (International Atomic Time) on June 21, 1998'''. The sequential timestamp, '''8209 2800 0001''', occurred exactly 3,055 seconds later at '''12:50:55 TAI on June 21, 1998'''. As shown in Figure 1, the Sun orbited a distance of roughly one solar radius during this 3,055-second period. === The Heliosphere === The heliosphere, it turns out, is not actually a sphere. As shown in '''Figure 2''', the heliosphere is a vast, oblong, tailed, bubble-like region that extends from the Sun into the surrounding space. The heliosphere is somewhat analogous to Earth's atmosphere, except that Earth's atmosphere is a comparatively thin layer of gas that remains near the Earth's surface. By comparison, the heliosphere is a plasma that is constantly blasted out into space due to the extreme heat and energy of the Sun. [[File:Bully_Metric_Galactic_Orbit_65536_Timestamps.png|thumb|right|450px|alt=Diagram showing the Sun traveling through the oblong shape of the heliosphere over a span of 16 to the 4th power timestamps.|'''Figure 2:''' Motion of the Sun during the passage of 16⁴ Bully timestamps.]] The heliosphere is very large. It is so vast that if it were truly spherical, its diameter would be on an order of magnitude similar to '''16⁴ (65,536) solar radii'''. The digit in the '''fifth position''' in a Bully timestamp represents the time required for the Sun to orbit for '''6.344 years''', which covers a distance of approximately '''65,536 solar radii''', or roughly the diameter of one spherical heliosphere. Figure 2 illustrates the orbit of the Sun (Sun not drawn to scale) over a period of 6.344 years. As explained previously, timestamp '''8209 2800 0000''' is defined to have occurred at exactly '''12:00:00 TAI on June 21, 1998'''. Timestamp '''8209 2801 0000''' therefore occurred roughly 6.344 years later at '''18:34:40 TAI on October 24, 2004'''. Incidentally, the Voyager 1 spacecraft crossed into the heliosheath, as shown in Figure 2, on December 16th 2004. Both Voyager spacecraft (Voyager 1 and Voyager 2) have since crossed entirely out of the heliosphere and entered the surrounding interstellar space. === Naked Eye Stars === As described above, the '''first''' and '''fifth''' digits in a Bully timestamp respectively represent 3,055 seconds and roughly 6.344 years of orbit around the Milky Way galaxy. The Sun moves approximately '''one Solar Radius (''R''_☉)''' per Bully timestamp. Before moving on to describe the physical significance of the '''ninth''' digit in terms of "naked-eye stars," it is worth noting that the length 16⁸ ''R''_☉ is remarkably close to 10¹⁰ light-seconds. In fact, these distances are so similar (differing by less than 0.35%) that one can estimate the ratio of the sun's orbital speed to the speed of light by dividing: &thinsp; :<math>\frac{10^{10}}{16^8 \times 3055} \approx 0.076\%</math> &thinsp; Furthermore, these values (16⁸ ''R''_☉ and 10¹⁰ light-seconds) are of the same order of magnitude as 100 parsecs, where a parsec (roughly 3.26 light-years) is a common length unit used in astronomy. To be precise, '''16⁸ ''R''_☉ is approximately 96.83 parsecs'''. '''Figure 3''' illustrates the physical movement of the Sun (Sun not drawn to scale) between 16⁸ successive Bully timestamps. It is estimated that timestamp '''8209 0000 0000''' would have occurred roughly 63,000 B.C., and timestamp '''820A 0000 0000''' is estimated to occur around 353,000 A.D., for a total time lapse of '''416,000 years'''. The stacked histogram in Figure 3 has a red dashed line marking 96.83 parsecs (the distance the sun will travel in 16⁸ Bully timestamps). As indicated in the histogram, a large percentage of naked-eye stars are nearer to the sun than 96.83 parsecs, meaning that the appearance of the night sky will completely change over this timeframe. [[File:Bully_Metric_Galactic_Orbit_4294967296_Timestamps.png|thumb|center|600px|alt=Diagram showing a stacked histogram of "Naked Eye" stars binned according to brightness and distance from the sun. A large percentage of these stars are closer to the sun than 16^8 R_☉, which is the distance that the sun travels in 16^8 Bully timestamps.|'''Figure 3:''' Motion of the Sun during the passage of 16⁸ Bully timestamps. The included stacked histogram shows that a large percentage of "Naked Eye" stars are within this travel distance of the sun, 96.83 parsecs or 16⁸ ''R''_☉.]] ==== The Meaning of Naked-Eye Stars ==== The term naked-eye stars refers to any celestial object that can be seen in the night sky using only human vision, completely unaided by binoculars or telescopes. However, what qualifies as a "naked-eye star" is highly subjective, depending heavily on environmental light pollution and a person's biological visual acuity. In remote regions like deserts or high mountains, the sky is perfectly dark. A person may see between 2,500 and 3,500 stars at a given time. The Milky Way can actually cast shadows on the ground in these conditions. In major metropolitan areas like New York or Tokyo, extreme light pollution blanks out the sky. Only the Moon, planets, and perhaps a dozen or two of the absolute brightest stars remain visible to the naked eye. To see faint stars, human eyes must adapt to the dark, widening the pupils to draw in light. A young person's pupil may expand to 7 mm, whereas an older adult's pupil might only expand to 5 mm, naturally making faint stars invisible to the older observer. Also, minor uncorrected astigmatisms, nearsightedness, or mild cataracts smudge pinpoint starlight, causing faint stars to blend directly into the background glow of the night sky. ==== The Hipparchus Magnitude System ==== In 129 B.C., the ancient Greek astronomer Hipparchus created the world's first stellar catalog. He ranked the stars purely by how they appeared to his naked eye. In 1856, astronomer Norman Pogson formalized this ancient system mathematically. He discovered that the human eye perceives brightness logarithmically, and that Hipparchus’s 1st-magnitude stars were exactly 100 times brighter than his 6th-magnitude stars. *'''1st Magnitude:''' The very brightest, "first-rate" stars to light up at twilight. *'''2nd, 3rd, 4th, 5th Magnitude:''' Progressively dimmer stars. *'''6th Magnitude:''' The absolute faintest, "sixth-rate" stars Hipparchus could barely see under pristine, ancient night skies. The stars in Figure 3 are ranked using the modern version of Hipparchus's magnitude system. A total of 9,427 stars are included in the stacked histogram, but more than two-thirds of these are 6th-magnitude stars that are only visible in ideal circumstances. It is notable that stars of first through third magnitude tend to be nearer than 100 parsecs, whereas stars of fifth and sixth magnitude tend to be beyond the 100 parsecs mark. Over a time duration of 16⁸ Bully timestamps, the Sun will travel a distance that is beyond the majority of the brightest stars, but not as far as the dimmest naked-eye stars. ==== The Pleiades Star Cluster ==== '''Figure 4a''' provides an SVG illustration of magnitude as used in astronomy. The Pleiades Star Cluster is a good example to illustrate star magnitude. The cluster lies at an average distance of about 136.2 parsecs (approximately 444 light-years) from Earth, with the entire physical cluster spanning only about 4 to 5 parsecs in depth and width. There are over 1,000 stars in the cluster, but shared gravity keeps them traveling through space together as a single family. Because the total internal gravity is relatively weak, it takes millions of years for a star to complete an orbital loop around the cluster's center, and the stars will eventually drift apart. The Pleiades system, shown in '''Figure 4b''', has a combined apparent magnitude of 1.6. The nine brightest stars shown in '''Figure 4c''' have representatives ranging from third-magnitude stars to sixth-magnitude stars. A star map of the system from the Hubble Space Telescope is shown in '''Figure 4d'''. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none; background: transparent;" |- | colspan = 2; style="border: none; padding: 10px;" | [[File:Magnitude_illustration.svg|thumb|right|340px|alt=TBD.|'''Figure 4a:''' An SVG illustration of magnitude in astronomy.]] |- | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 200 |cWidth = 120 |cHeight = 120 |oTop = 12 |oLeft = 40 |Location = left |Description = '''Figure 4b:''' The combined apparent magnitude of the Pleiades star cluster (Messier 45) is approximately 1.6 when viewed together as a group. }} | style="border: none; padding: 10px;" | {{CSS image crop |Image = Pleiades_over_Arizona.jpg |bSize = 1700 |cWidth = 180 |cHeight = 180 |oTop = 500 |oLeft = 750 |Location = center |Description = '''Figure 4c:''' The nine brightest stars in the cluster includes 1 third-magnitude star, 5 fourth-magnitude stars, 2 fifth-magnitude stars, and 1 sixth magnitude star. }} |- | colspan = 2; style="border: none; padding: 10px;" | [[File:M45map.jpg|thumb|right|340px|alt=A deep space photograph of bright stars with overlaid text labels naming individual stars and some distances.|'''Figure 4d:''' A star map of the Pleiades star cluster from the Hubble Space Telescope.]] |} == The Galactic Calendar == [[File:Sun_in_orbit_around_Galactic_Centre.gif|thumb|right|300px|alt=Diagram showing multiple stars moving along their respective orbital paths around the galactic center over a span of 250 million years.|'''Figure 5a:''' Stars orbiting around the Galactic center during a 250 million-year time period.]] A '''galactic year''', also known as a '''cosmic year''', is the duration of time required for the Sun (or any other star) to orbit once around the center of the Milky Way Galaxy. This duration is not a fixed constant, but rather depends on the path a particular star follows as it orbits (see Figure 5a). Stars closer to the center orbit much more quickly than those on the outer edges. The stars shown in '''Figure 5a''' all eventually localize near the Sun despite having vastly different orbital trajectories, visually illustrating the long-term subtlety of galactic orbits. === Bully Galactic Years === If the Sun followed a perfectly circular orbit around the Milky Way, with a radius of [https://www.mpe.mpg.de/6588951/The-black-hole 8,275 parsecs] (or 26,990 light-years), the total circumference of that ideal orbit would be determined by multiplying the radius by 2π: :<math>\begin{align} {\text{Circumference}} &= 2\pi \times 8,275{\text{ parsecs}} \\ &\approx 51,993{\text{ parsecs}} \end{align}</math> If we divide this ideal, '''roughly 52,000-parsec''' orbit into "Galactic Weeks," where each week represents an orbital travel path of 1,000 parsecs, then a full Galactic Year would consist of nearly 52 weeks. This beautifully mirrors the structure of an Earth year, which is also composed of roughly 52 weeks. Earlier in this resource, the Sun was assumed to travel roughly one solar radius per 3,055-second orbital timestamp. However, since the Sun’s deep-time trajectory is chaotic and unpredictable, its true orbital velocity is a topic of ongoing refinement, meaning the previous value was just '''a useful assumption'''. The table in '''Figure 5b''' illustrates how scaling this baseline up to 1.0488227 ''R''_☉ per orbital timestamp aligns the highest digits directly with major cosmic eras. {| class="wikitable" style="margin: 20px auto 40px auto; border-collapse: collapse; font-family: sans-serif;" |+ style="font-weight: bold; margin-bottom: 8px;" | Figure 5b: Distance Conversions to Parsecs ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Time Duration (Bully Timestamps) ! colspan="2" style="background-color: #f2f2f2; text-align: center; padding: 10px;" | Total Distance (Parsecs) ! rowspan="2" style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Equivalent Cosmic Time |- ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1 ''R''_☉ per Bully timestamp ! style="background-color: #f2f2f2; text-align: left; padding: 10px;" | Assume 1.0488227 ''R''_☉ per Bully timestamp |- | style="text-align: left; padding: 8px;" | '''16¹¹''' | 396,635.00 | 416,000.00 | 8 Galactic Years |- | style="text-align: left; padding: 8px;" | '''16¹⁰''' | 24,789.70 | 26,000.00 | <math>\frac{1}{2}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁹''' | 1,549.36 | 1,625.00 | <math>\frac{1}{32}</math> Galactic Years |- | style="text-align: left; padding: 8px;" | '''16⁸''' | 96.83 | 101.56 | <math>\frac{1}{512}</math> Galactic Years |- style="background-color: #e6f2ff; font-weight: bold;" ! colspan="4" style="text-align: left; padding: 8px;" | Off Nominal Values |- | style="text-align: left; padding: 8px;" | '''2 × 16¹⁰''' | style="color: #888;" | N/A | 52,000.00 | One Galactic Year |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 26''' | style="color: #888;" | N/A | 1,000.00 | One Galactic Week |- | style="text-align: left; padding: 8px;" | '''16¹⁰ / 260''' | style="color: #888;" | N/A | 100.00 | 0.1 Galactic Weeks |} ==== Idealized Galactic Orbit ==== Within the context of the Bully timekeeping system, an idealized '''Bully Galactic Year''' will be defined to have a time duration of exactly '''2 × 16¹⁰ Bully timestamps''' (approximately 213 million years), and to represent a total orbital path length of '''52,000 parsecs'''. While this is not identical to a true, observed galactic year, this fixed value should be interpreted as a rough approximation assuming an idealized perfectly circular orbit. ==== Bully Galactic Weeks ==== The table in '''Figure 5c''' illustrates the division of a Galactic Year's worth of Bully timestamps into 52 equal portions. The table shows the Bully timestamp at which each one thousand parsecs of travel distance would be achieved in an idealized circular orbit. The solar orbit begins at timestamp '''8200 0000 0000''', and it passes its first thousand parsecs milestone at timestamp '''8209 D89D 89D8'''. The final Bully timestamp '''83FF FFFF FFFF''' would occur at the completion of all 52,000 parsecs of orbital travel distance. {| class="wikitable" style="text-align:center; width:100%; max-width:800px;" |+ '''Figure 5c:''' The 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic <br /> Year 66 || {{nowrap|1st Quarter}} || {{nowrap|2nd Quarter}} || {{nowrap|3rd Quarter}} || {{nowrap|4th Quarter}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 0}} || {{color|blue|''0 parsecs''}} <br/>'''{{nowrap|8200 0000 0000}}''' || {{color|blue|''13,000 parsecs''}} <br/> '''{{nowrap|8280 0000 0000}}''' || {{color|blue|''26,000 parsecs''}} <br/> '''{{nowrap|8300 0000 0000}}''' || {{color|blue|''39,000 parsecs''}} <br/> '''{{nowrap|8380 0000 0000}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 1}} || {{color|blue|''1000 parsecs''}} <br/> '''{{nowrap|8209 D89D 89D8}}''' || {{color|blue|''14,000 parsecs''}} <br/> '''{{nowrap|8289 D89D 89D8}}''' || {{color|blue|''27,000 parsecs''}} <br/> '''{{nowrap|8309 D89D 89D8}}''' || {{color|blue|''40,000 parsecs''}} <br/> '''{{nowrap|8389 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 2}} || {{color|blue|''2,000 parsecs''}} <br/> '''{{nowrap|8213 B13B 13B1}}''' || {{color|blue|''15,000 parsecs''}} <br/> '''{{nowrap|8293 B13B 13B1}}''' || {{color|blue|''28,000 parsecs''}} <br/> '''{{nowrap|8313 B13B 13B1}}''' || {{color|blue|''41,000 parsecs''}} <br/> '''{{nowrap|8393 B13B 13B1}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 3}} || {{color|blue|''3,000 parsecs''}} <br/> '''{{nowrap|821D 89D8 9D89}}''' || {{color|blue|''16,000 parsecs''}} <br/> '''{{nowrap|829D 89D8 9D89}}''' || {{color|blue|''29,000 parsecs''}} <br/> '''{{nowrap|831D 89D8 9D89}}''' || {{color|blue|''42,000 parsecs''}} <br/> '''{{nowrap|839D 89D8 9D89}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 4}} || {{color|blue|''4,000 parsecs''}} <br/> '''{{nowrap|8227 6276 2762}}''' || {{color|blue|''17,000 parsecs''}} <br/> '''{{nowrap|82A7 6276 2762}}''' || {{color|blue|''30,000 parsecs''}} <br/> '''{{nowrap|8327 6276 2762}}''' || {{color|blue|''43,000 parsecs''}} <br/> '''{{nowrap|83A7 6276 2762}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 5}} || {{color|blue|''5,000 parsecs''}} <br/> '''{{nowrap|8231 3B13 B13B}}''' || {{color|blue|''18,000 parsecs''}} <br/> '''{{nowrap|82B1 3B13 B13B}}''' || {{color|blue|''31,000 parsecs''}} <br/> '''{{nowrap|8331 3B13 B13B}}''' || {{color|blue|''44,000 parsecs''}} <br/> '''{{nowrap|83B1 3B13 B13B}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 6}} || {{color|blue|''6,000 parsecs''}} <br/> '''{{nowrap|823B 13B1 3B13}}''' || {{color|blue|''19,000 parsecs''}} <br/> '''{{nowrap|82BB 13B1 3B13}}''' || {{color|blue|''32,000 parsecs''}} <br/> '''{{nowrap|833B 13B1 3B13}}''' || {{color|blue|''45,000 parsecs''}} <br/> '''{{nowrap|83BB 13B1 3B13}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 7}} || {{color|blue|''7,000 parsecs''}} <br/> '''{{nowrap|8244 EC4E C4EC}}''' || {{color|blue|''20,000 parsecs''}} <br/> '''{{nowrap|82C4 EC4E C4EC}}''' || {{color|blue|''33,000 parsecs''}} <br/> '''{{nowrap|8344 EC4E C4EC}}''' || {{color|blue|''46,000 parsecs''}} <br/> '''{{nowrap|83C4 EC4E C4EC}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 8}} || {{color|blue|''8,000 parsecs''}} <br/> '''{{nowrap|824E C4EC 4EC4}}''' || {{color|blue|''21,000 parsecs''}} <br/> '''{{nowrap|82CE C4EC 4EC4}}''' || {{color|blue|''34,000 parsecs''}} <br/> '''{{nowrap|834E C4EC 4EC4}}''' || {{color|blue|''47,000 parsecs''}} <br/> '''{{nowrap|83CE C4EC 4EC4}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 9}} || {{color|blue|''9,000 parsecs''}} <br/> '''{{nowrap|8258 9D89 D89D}}''' || {{color|blue|''22,000 parsecs''}} <br/> '''{{nowrap|82D8 9D89 D89D}}''' || {{color|blue|''35,000 parsecs''}} <br/> '''{{nowrap|8358 9D89 D89D}}''' || {{color|blue|''48,000 parsecs''}} <br/> '''{{nowrap|83D8 9D89 D89D}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 10}} || {{color|blue|''10,000 parsecs''}} <br/> '''{{nowrap|8262 7627 6276}}''' || {{color|blue|''23,000 parsecs''}} <br/> '''{{nowrap|82E2 7627 6276}}''' || {{color|blue|''36,000 parsecs''}} <br/> '''{{nowrap|8362 7627 6276}}''' || {{color|blue|''49,000 parsecs''}} <br/> '''{{nowrap|83E2 7627 6276}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 11}} || {{color|blue|''11,000 parsecs''}} <br/> '''{{nowrap|826C 4EC4 EC4E}}''' || {{color|blue|''24,000 parsecs''}} <br/> '''{{nowrap|82EC 4EC4 EC4E}}''' || {{color|blue|''37,000 parsecs''}} <br/> '''{{nowrap|836C 4EC4 EC4E}}''' || {{color|blue|''50,000 parsecs''}} <br/> '''{{nowrap|83EC 4EC4 EC4E}}''' |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|Week 12}} || {{color|blue|''12,000 parsecs''}} <br/> '''{{nowrap|8276 2762 7627}}''' || {{color|blue|''25,000 parsecs''}} <br/> '''{{nowrap|82F6 2762 7627}}''' || {{color|blue|''38,000 parsecs''}} <br/> '''{{nowrap|8376 2762 7627}}''' || {{color|blue|''51,000 parsecs''}} <br/> '''{{nowrap|83F6 2762 7627}}''' |} ==== The 66th Bully Galactic Year ==== Timestamps in the range '''8200 0000 0000''' through '''03FF FFFF FFFF''' indicate that the system is currently recording time within the '''66th Bully Galactic Year''' of the Universe. However, the Sun (and our solar system) did not come into existence until the 45th Bully Galactic Year, meaning our solar system is only '''21 Bully Galactic Years old'''. {| class="wikitable" style="text-align:center; max-width:300px;" |+ '''Figure 5c:''' Week zero of the 66th Bully Galactic Year |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Galactic Year 66 || {{nowrap|Solar Distance Traveled}} || {{nowrap|Bully timestamp}} |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{8}{10}</math> Weeks}} || {{nowrap|{{color|blue|''800 parsecs''}}}} ||'''{{nowrap|8207 E07E 07E0}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{9}{10}</math> Weeks}} || {{nowrap|{{color|blue|''900 parsecs''}}}} ||'''{{nowrap|8208 DC8D C8DC}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{28}{30}</math> Weeks}} || {{nowrap|{{color|blue|''933&#8201;<math>\frac{1}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 3093 0930}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{29}{30}</math> Weeks}} || {{nowrap|{{color|blue|''966&#8201;<math>\frac{2}{3}</math> parsecs''}}}} ||'''{{nowrap|8209 8498 4984}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|One Week}} || {{nowrap|{{color|blue|''1000 parsecs''}}}} ||'''{{nowrap|8209 D89D 89D8}}''' |- style="font-size:small:small;background-color:#ffffff;" | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|<math>\frac{11}{10}</math> Weeks}} || {{nowrap|{{color|blue|''1100 parsecs''}}}} ||'''{{nowrap|820A D4AD 4AD4}}''' |} [[File:Ophiuchus_Galactic_Equatorial_Node.png|thumb|center|600px|alt=An educational image illustrating the 6.44-degree separation between Sagittarius A* and the Ophiuchus Galactic Equatorial Node. The Node, moving in concert with the Sun, shifts away from Sagittarius A* at a rate of 2.70 mas per year in right ascension and 5.60 mas per year in declination. |'''Figure 5d:''' An image illustrating the 6.44-degree separation between Sagittarius A* and the Ophiuchus Galactic Equatorial Node.]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About Galactic Years and The Bully Metric Coordinate System]] == The Metonic Cycle == The '''Metonic cycle''' is a period of approximately 19 solar years, after which the moon's phases recur on the same days of the year. For example, a New Moon occurred on July 23 in 1998, and nineteen years later, in 2017, a New Moon again occurred on July 23. The last four hex digits of the Bully timestamp cycle approximately three times per Metonic cycle as illustrated in the following list: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> July 23 New Moon Metonic Cycles * July 23, 1998 on 8209 280'''0 038B''' * July 23, 2017 on 8209 280'''3 0238''' * July 23, 2036 on 8209 280'''6 00EA''' * July 23, 2055 on 8209 280'''8 FF9B''' * July 23, 2074 on 8209 280'''B FE45''' * July 23, 2093 on 8209 280'''E FCE6''' </div> [[Bully_Metric_Metonic_cycle|Learn More About the Metonic Cycle in Bully Timestamps]] == Bully Timestamp Realization == Each Bully timestamp is '''realized''' exactly 3055 seconds TAI after the previous one. However, since atomic clocks did not exist prior to the 1950's, any assignment of Bully timestamps prior to 1958 should be viewed as an '''estimate''' of how time might have transpired in the past, rather than an actual realization of Bully time. Similarly, any assignment of future timestamps should be viewed as an estimate of what may occur, rather than a realization. Bully timestamps should only be considered "realized" when time is measured with an accuracy of 10^-10. There have been over 700,000 realized Bully timestamps during the era of modern atomic time keeping (1958 AD ... present). [[Bully_Metric_Realized_Timestamps|Learn More About Realized Bully Timestamps]] === Time Estimation Divisions === [[File:History-of-the-Universe With Bully Timestamps.jpg|frame|center|text-bottom|Figure 1: History of the Universe with a few example Bully timestamps shown in red.]] For the purpose of time estimation, the Bully system's time range is divided into three distinct sets: ==== First Set ==== * ''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'': Used to estimate time during the universe's formative period ('''Figure 1'''), spanning roughly 3 billion years beginning with the Big Bang. The following list highlights key events from selected timestamps during this formative era: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * First timestamp: ''{{mono|0000 0000 0000}}'' ** [[w:Cosmic_inflation|Cosmic Inflation]] ** [[w:Baryogenesis|Baryogenesis]] ** [[w:Big_Bang_nucleosynthesis|Nucleosynthesis]] * Approximately: ''{{mono|0000 EA00 0000}}'' ** [[w:Decoupling_(cosmology)|Decoupling]] ** [[w:Recombination_(cosmology)|Recombination]] * Approximately: ''{{mono|0100 0000 0000}}'' ** [[w:Star_formation|First Star Formation]] * Approximately: ''{{mono|0297 0000 0000}}'' ** [[w:MoM-z14|Oldest Observed Galaxy]] </div> ==== Second Set ==== * ''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'': Used to estimate cosmic look-back time ('''Figure 2'''), spanning from approximately 10.4 billion years ago to exactly 12:00:00 TAI on June 21, 1998. Key milestones from the presolar through geological eras include: <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|3B00 0000 0000}}'' ** [[w:Murchison_meteorite|Oldest Presolar Grains]] * Approximately: ''{{mono|5720 9000 0000}}'' ** [[w:Hadean|Hadean Eon Begins]] * Approximately: ''{{mono|5C2A 0000 0000}}'' ** [[w:Archean|Archean Eon Begins]] * Approximately: ''{{mono|6A8C 0000 0000}}'' ** [[w:Proterozoic|Proterozoic Eon Begins]] * Approximately: ''{{mono|7D56 0000 0000}}'' ** [[w:Phanerozoic|Phanerozoic Eon Begins]] </div> [[File:Geologic time scale - spiral - ICS colours (light) - path text.svg|frame|center|text-bottom|alt=Geologic time scale proportionally represented as a log-spiral. The image also shows some notable events in Earth's history and the general evolution of life.|thumb|Figure 2: The geologic time scale, proportionally represented as a [[w:Logarithmic_spiral|log-spiral]] with some major events in Earth's history. A [[w:megaannum|megaannum]] (Ma) represents one million (10⁶) years.]] ==== Third Set ==== * ''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'': Used to estimate (and realize) future events. This set begins at precisely 12:00:00 TAI on June 21, 1998, and progresses forward for approximately 13.4 billion years. <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> * Approximately: ''{{mono|B000 0000 0000}}'' ** [[w:Sun#Life_phases|Death of Sun (main-sequence)]] </div> === Time Estimation Using Cosmic Redshift === In [[w:physics|physics]], a '''redshift''' is an increase in [[w:wavelength|wavelength]] (or a decrease in [[w:frequency|frequency]]) of [[w:electromagnetic radiation|electromagnetic radiation]]. Cosmological redshifts are driven directly by the [[w:expansion of the universe|expansion of the universe]]. The redshift value is denoted by {{math|''z''}}, where the ratio of observed to emitted wavelength is {{math|1 + ''z''}}. If the original wavelength of a radiation source is known, its cosmological redshift can reveal the light travel time. However, mapping redshift precisely to elapsed time requires an exact cosmological model. Ongoing measurement tension surrounding the [[w:Hubble constant|Hubble constant]] introduces uncertainty into calculations of the exact [[w:Age of the universe|age of the universe]] and distant stars. This cosmological uncertainty directly affects the accuracy of assigning Bully timestamps. The table in Figure 3 contrasts two estimation tracks based on competing cosmological datasets. One column applies the local distance ladder framework from the '''SH0ES Team''' (corresponding to a younger universe estimate of 12.7 Gyr). The other utilizes cosmic microwave background data from the '''Planck Collaboration''' (yielding an older universe estimate of approximately 13.8 Gyr). Larger z values correspond with the more distant past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 3: Bully Timestamps for Selected Redshift Values Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Redshift z <br /> (z = ∞ to 2) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = ∞ || {{nowrap|0000 0000 0000}} || {{nowrap|0000 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 18.0 || {{nowrap|01CC 0000 0000}} || {{nowrap|01F4 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 15.0 || {{nowrap|0253 0000 0000}} || {{nowrap|0287 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 12.0 || {{nowrap|032D 0000 0000}} || {{nowrap|0374 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 9.0 || {{nowrap|04B5 0000 0000}} || {{nowrap|051E 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 6.0 || {{nowrap|0809 0000 0000}} || {{nowrap|08BB 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 3.0 || {{nowrap|1285 0000 0000}} || {{nowrap|1420 0000 0000}} |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | z = 2.0 || {{nowrap|1C4D 0000 0000}} || {{nowrap|1EC2 0000 0000}} |} The forward-progressing timestamps ''{{mono|0000 0000 0000}}'' through ''{{mono|1FFF FFFF FFFF}}'' are illustrated in Figure 4 (bottom of figure). By convention, these timestamps are assumed to begin at the Big Bang and progress forward for approximately three billion years. [[File:Redshift-by-universe-age-H0-comparison.png|frame|center|alt=Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.|Figure 4: Age of the Universe plot showing Bully timestamps mapped to cosmic redshift.]] Timestamps ''{{mono|2000 0000 0000}}'' through ''{{mono|8200 0000 0000}}'' (top of Figure 4) measure "lookback" time anchored at timestamp ''8209 2800 0000''. Because the total age of the universe is unfixed, the precise mathematical relationship between universal age and lookback time remains indefinite. Two different possible universe ages are shown with the Planck Collaboration shown in red and the SH0ES Team shown in blue. The data illustrated in Figure 5 is the same as is shown in Figure 4, but Figure 5 plots against lookback time on the x-axis, so in this plot the universe age is unfixed with the Planck Collaboration shown in red and the SH0ES Team shown in blue. [[File:Redshift-by-lookback-time-H0-comparison.png|frame|center|alt=A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.|Figure 5: A cosmic lookback plot showing Bully timestamps mapped to cosmic redshift.]] The table in Figure 6 is similar to the table in Figure 3, in that it contrasts two estimation tracks based on competing cosmological datasets. However, whereas the data in Figure 3 was for large z values, Figure 6 shows small z values. Smaller z values correspond with the recent past. {| class="wikitable" style="text-align:center; width:100%; max-width:800px; font-size: small; font-family: monospace, monospace;" |+ Figure 6: Redshift Values for Selected Bully Timestamps Given Different Universe Age Estimates |- style="background-color: #eaecf0; font-size: medium; font-weight: bold;" ! style="padding: 10px; font-size: large;" | Bully Timestamp <br /> (z = 1 to 0) || SHOES Team <br /> (12.7 Gyr) || Planck Collaboration <br /> (13.8 Gyr) |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|4000 0000 0000}} || z = 0.925134 || z = 0.796535 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|6000 0000 0000}} || z = 0.342787 || z = 0.308619 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8000 0000 0000}} || z = 0.016418 || z = 0.015093 |- style="font-size:small:small;background-color:#ffffff;” | style="font-weight: bold; background-color: #eaecf0;" | {{nowrap|8209 2800 0000}} || z ≈ 0.000000 || z ≈ 0.000000 |} === Time Estimation Relativistic and Cosmological Considerations === What does it mean when cosmologists state that the universe is approximately 13.8 billion years old? According to Einstein's theories of special and general relativity, time passes differently for each observer depending on their path through spacetime and the gravitational forces in their vicinity. How, then, can the universe have a single age? Shouldn't its age depend entirely on the observer's frame of reference? The "age of the universe" cited by cosmologists is actually its maximum possible age. Among all paths an observer could take through spacetime, one specific trajectory maximizes elapsed time. This privileged frame of reference belongs to an observer who remains at rest relative to the Cosmic Microwave Background (CMB) and resides in a region of space with negligible matter. We will refer to this as the "CMB rest frame." Importantly, Bully timestamps are divided into three distinct sets, with only the first set (''{{mono|0000 0000 0000}}'' — ''{{mono|1FFF FFFF FFFF}}'') utilizing the CMB rest frame. Timestamps in the third set (''{{mono|8209 2800 0000}}'' — ''{{mono|FFFF FFFF FFFF}}'') are realized using atomic clocks at sea level on Earth. Due to relativistic time dilation, these terrestrial clocks run slower than identically constructed clocks placed at rest in empty space. All "realized" Bully timestamps from 1958 to the present conform to Earth's sea-level frame of reference. Furthermore, the "estimated" Bully timestamps in the second set (''{{mono|2000 0000 0000}}'' — ''{{mono|8209 2800 0000}}'') are typically derived from the radioactive decay of samples found on or within the Earth; thus, these samples decay at a rate comparable to Earth's sea-level frame. The oldest timestamps in this second set come from presolar grains, which formed in different star systems prior to the emergence of our solar system. Because some of these samples may have traveled through space in frames of reference drastically different from Earth's current sea-level frame, the accuracy of these cosmic estimates is inherently limited. [[Bully_Metric_CMB_Stabilized_Timestamps| Learn More About Relativistic and Cosmological Considerations]] == Contextualized vs. Decontextualized Time == Local clocks and calendars reflect '''contextualized time''', which uses region-specific offsets from Coordinated Universal Time (UTC) to align with physical reality. This time is "contextual" because it provides an intuitive sense of conditions at some specific geographic location; for instance, a traveler arriving in London at 4:00 a.m. can instinctively expect darkness and quiet streets. To maintain this alignment with Earth's natural cycles, UTC requires periodic "leaps" (seconds and years). In '''Figure 10''', the light blue line represents Earth's irregular rotation ('''UT1'''), while the dark blue line shows '''UTC''', which is manually adjusted with leap seconds to track UT1. In contrast, standards such as International Atomic Time ('''TAI'''), Terrestrial Time ('''TT'''), and '''GPS time''' are '''decontextualized'''. They are independent of Earth's rotation, meaning they do not correspond to "true time" at any specific geographical location. Represented by the black lines in '''Figure 10''', these standards track a continuous, uniform interval measured by atomic clocks. This uninterrupted linearity is vital for scientific and technical systems, where the discontinuities introduced by leap seconds could lead to critical errors or system failures. [[File:Bully Timestamps in relation to modern time keeping.png|frame|center|text-bottom|Figure 10: Modern Time Keeping]] The various decontextualized standards currently in use are effectively "frozen" in the astronomical conditions present at the time of their deployment. Because long-term changes in Earth's motion are unpredictable, each system launched with a different initial offset. For example, when GPS was launched in 1980, the '''Delta T''' adjustment (TT-UTC) exceeded 51 seconds. In contrast, the 1972 LORAN-C upgrade began with an adjustment closer to 42 seconds. This historical discrepancy results in a permanent nine-second offset between GPS and LORAN-C. Similarly, LORAN-C remains offset from TAI (deployed in 1958) by exactly ten seconds. The Bully timestamp system, shown on the far-right axis of '''Figure 10''', follows the same uniform, decontextualized logic as TAI and TT but avoids this "legacy offset" confusion. Unlike existing standards, Bully timestamps are not linked to others by a constant, arbitrary time offset. This independence ensures they are uniquely recognizable and impossible to misinterpret. [[Bully_Metric_Timestamp_units|Learn More About Contextualized vs Decontextualized time]] == Why do we need Bully timestamps? == All the timestamps in '''Figure 11''' refer to one single, simultaneous moment in time. The left frame illustrates the fragmentation of Coordinated Universal Time (UTC) through time zones. For instance, on June 21, 1998, a UTC time of 11:59:29 a.m. in Accra, Ghana, was simultaneously 8:59:29 p.m. in Tokyo. These time zone offsets are not based on science, but on '''political mandates''' that have resulted in [https://en.wikipedia.org/wiki/List_of_UTC_offsets 38 distinct UTC offsets], including confusing half- and quarter-hour increments. {| class="wikitable" style="margin-right: 0; margin-left: 1em; text-align: center;" |+ Figure 11: UTC Time Zones vs. Bully Timestamps. |- ! Selected UTC Time Zones !! [https://gssc.esa.int/navipedia/index.php/Transformations_between_Time_Systems Decontextualized timestamps] |- | rowspan = 3 | [[File:Timezone-boundary-builder_release_2023d.png|thumb|upright=1.0| June 21, 1998 at 8:59:29 pm (JST)</br> June 21, 1998 at 7:59:29 pm (CST)</br> June 21, 1998 at 2:59:29 pm (EEST)</br> June 21, 1998 at 12:59:29 pm (IST)</br> June 21, 1998 at 11:59:29 am (GMT)</br> June 21, 1998 at 8:59:29 am (BRT)</br> June 21, 1998 at 4:59:29 am (PDT)</br> June 21, 1998 at 1:59:29 am (HST)</br> ]] || [[File:WorldMap-Blank-Noborders.svg|thumb|<br/> 06/21/1998 12:00:32.184 (TT)<br/> 06/21/1998 12:00:00 (TAI)<br/> 06/21/1998 11:59:42 (GPS) ]] |- ! Bully Timestamp |- || [[File:WorldMap-Blank-Noborders.svg|thumb|8209 2800 0000 (+ 0.000 sec)]] |} ==== Legacy Decontextualized Timestamps ==== The decontextualized timestamps (TAI, TT, GPS) in the upper-right frame of '''Figure 11''' attempt to solve the UTC geographic fragmentation problem, yet they remain "cluttered" by Gregorian formatting. Applying a Gregorian date—which is built to track the Sun—to an atomic standard is a '''category error'''. Seeing three different timestamps share the same date while differing by several "leap" seconds is intellectually disorienting because the date has been stripped of its astronomical meaning. In these technical contexts, the Gregorian format is an artificial mask applied for convenience, hiding the true linear nature of time. For scientific and technical applications, TAI and TT are often expressed via '''Modified Julian Date (MJD)'''—a continuous count of SI days since a fixed epoch. While MJD avoids Gregorian irregularities, it remains "tethered" to the 86,400-second day, a unit that is astronomically meaningless when decontextualized. Similarly, '''GPS time''' relies on a week-based count (since January 6, 1980), forcing a technical system to conform to an arbitrary seven-day cycle. Both systems are cumbersome "hybrids" that attempt to measure linear time using units designed for Earth’s rotation. ==== Decontextualized Bully Timestamps ==== The '''Bully Timestamp''', shown in the lower-right frame of '''Figure 11''', breaks the Gregorian formatting tether. It is a single, unique identifier that applies simultaneously to all locations on Earth because it is never adjusted for geography or orbital drift. For example, Bully timestamp {{mono|8209 2800 0000}} was realized at the exact moment the UTC based clock read 11:59:29 a.m. in Accra and 8:59:29 p.m. in Tokyo. By discarding the baggage of weeks, days, and hours, the Bully timestamp emerges as the least ambiguous format for representing universal, decontextualized time. Click on the below links for a comparison of current time in six time standards (local, UTC, GPS, Loran, and TAI), all displayed using traditional Gregorian format: [http://www.leapsecond.com/m/gps.htm LeapSecond.com] [https://www.ipses.com/eng/in-depth-analysis/standard-of-time-definition ipses.com] [http://www.csgnetwork.com/multitimedisp.html csgnetwork.com] == The Foundations of Bully Metric == The Bully Timestamp System was derived from the orbital periods of major Solar System bodies. Specifically, the duration of Earth's '''sidereal year''' (~31,558,150 seconds) is roughly equal to <math>10,330 \times 3,055</math> SI seconds. This foundational constant—3,055 seconds—serves as the building block for the Bully timestamp system. The name "Bully" is a dual-reference to the massive astronomical objects that define our local spacetime. In an archaic sense, "bully" means '''"beautiful" or "excellent,"''' describing the celestial harmony of the cosmos. In the modern sense, it refers to the '''dominance and gravitational influence''' of "bullies" like [https://en.wikipedia.org/wiki/Sagittarius_A* Sagittarius A*], the [https://en.wikipedia.org/wiki/Sun Sun], and giant planets like Jupiter and Saturn. These massive bodies dictate the motion of everything around them, serving as the physical anchors for the Bully Metric system. * [[Bully_Metric_Foundations|Learn More About The Foundations of Bully Metric]] * [[Bully_Metric_Astronomical_Coordinates|Learn More About The Bully Metric Coordinate System]] == The Bully Mnemonic == <math display="block"> {1 \, Sidereal \, Year} = {31,558,150 \, Seconds} </math> <math display="block"> {1 \, Tropical \, Year} = {31,556,926 \, Seconds} </math> <math display="block"> 1 \, Great \, Year \approx 25,824 \, Sidereal \, Years \approx 25,825 \, Tropical \, Years </math> <math display="block">{1 \, Galactic \, Year} \approx 8264 \, Great \, Year \approx 213,417,800 \, Tropical \, Years </math> The '''Bully Mnemonic''' is a technique for remembering the exact number of seconds that occur in Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year], a good approximation of the Earth's [https://en.wikipedia.org/wiki/Great_Year Great Year], and a rough approximation of the Solar System's [https://en.wikipedia.org/wiki/Galactic_year galactic year]. Click on the following link to learn more about the Bully Mnemonic and the role it plays in the mathematical foundation of Bully timestamps. * [[Bully Mnemonic |Learn More About The Bully Mnemonic]] * [[Bully Mnemonic Extension |Learn More About The Bully Mnemonic Extension]] t4xdjtr3i9b1p1afjwp2znhmn3ifna2 2 317299 2821126 2705446 2026-08-09T04:11:41Z CommonsDelinker 9184 Removing [[:c:File:Copper_ore_appearence.png|Copper_ore_appearence.png]], it has been deleted from Commons by [[:c:User:Krd|Krd]] because: No license since 1 August 2026. 2821126 wikitext text/x-wiki == Wiring == The first thing in telecommunications is wire. there are two types of wire , Copper , and fiber optic. now the first thing to do is to do wiring around the whole country. make sure 99 percent of the country is wired. As wikiversity code of conduct i will not criticise anyone but pakistan is 77 years old and its national telecommunication company ptcl has only wired 40 percent of country so they should focus on this. and its zong 4g cellular company has no wiring it has only cellular service . any cellular company that wants to provide wireless wifi service its need wireless access point and wireless access point has modem, router , and switch and dhcp server in it. so how will you integrate a vendor wireless access points which needs wiring inside it(wiring inside the router , switch , modem, and dhcp server) and needs wiring with other wireless access points and provide wireless wifi service. == Copper and fiber optic == As due to fear of copyright laws, i will not copy material from book but diagram i will copy because if diagram is wrong then whole process goes wrong. diagram should remain constant from one book to another. ===== <u>Coaxial cable</u> ===== [[File:Coaxial cable parts.png|left|thumb|Coaxial cable]] ===== <u>Twisted pair cable</u> ===== [[File:Twisted pair cables.png|left|thumb|twisted pair cables]] ===== <u>fiber optic cables</u> ===== [[File:Fiber optic cables.png|left|thumb|fiber optic cables]] == Blast furnace == Ok now. we will draw the process of making coaxial cable, twisted pair , fiber optic manufacture will discuss in another chapter. ok the first thing. we take copper from copper ores. copper ores are stones with copper in it. first we have to burn copper ores to get clean copper. for this we have to make a blast furnace. blast furnace is a structure built for making fire in it and drawing the material out. the simplest method is to use coal and burn it .bring a lot of it and put copper ores into it. now let us find a solution. how can we burn copper with less fire and still get copper. now when i think i dont get the solution. my first thinking is that copper is made up of positive protons and negative electrons if i put two metal electrodes in blast furnace. and give them positive charge then copper electrons will be attracted to positive electrodes this will cause copper to expand and melt quicker. so this is level 1 intelligence solution. but when i imagine that less fire is causing copper to melt . my imagination stops . my brain cannot come up with a solution. that how less fire can cause copper to melt quicker. as humans our intelligence is level 1 . our wisdom and knowledge and understanding is level 1. there are bigger levels of intellect. meaning level 2 intellect , level 3 intellect , level 4 intellect. as we have level 1 intellect our imagination stops when we think beyond level 1. But God knows all the level of intelligence and he is the knower of everything. so when i imagine that how less fire causes copper to melt at low temperature. my imagination blacks out. now the question is : <u>'''How does less fire cause copper to melt at low temperature.'''</u> to answer let us instead of focusing on copper that copper has atoms positive and negative charges. let us switch the theory to fire. how should less fire behave to cause copper to melt at low temperature. i will draw the fire burning process. [[File:Fire1image.png|left|thumb|figure 1.1]] In image figure 1.1 , how fire behaves it starts at bottom and is small In image figure 1.2, fire by spreading further and further from the bottom reaches the middle. in image figure 1.3 , fire has reached the top and has captured the entire copper ore. when the fire reaches the top the copper ore starts to melt . in image figure 1.4 , if we hammer coal into pieces and make a cone shape when fire will start it will quickly reach the bottom then middle and then top . this will cause copper to melt at low temperature. [[File:Fire2image.png|left|thumb|figure 1.2]] in figure 1.5. fire is started to coal powder , and fire quickly reaches the top and spreading far and reaching all parts of copper ore causing the copper ore to melt at low temperature. ===== <u>PURE EXTRACTION</u> ===== if in first extraction from blast furnace you didnt get pure copper. put the extracted copper back into blast furnace and burn copper again and again mutiple times you will get pure copper in any stage. this process can also be applied to iron or gold. [[File:Fire3image.png|left|thumb|figure 1.3]] [[File:Fire4image.png|left|thumb|figure 1.4]] [[File:Fire5image.png|left|thumb|figure 1.5]] == Telephone office exchanges and Wiring == ok the first telephone office exchange is called the local network then comes exchange area network then Long-haul network. the biggest problem in pakistan is there are very less telephone office exchanges in every city. The first thing a telecom company must do is build as many telephone exchanges as it can and wire the entire country. [[File:Figure 1.5 the local network.png|left|thumb|figure 1.5 the local network]] ok the local network is as follows. ok in left side picture figure 1.5 the local network ('''this picture has been taken from book understanding telephone electronics''' ). there might be copyright laws against this picture but i took this picture because picture has to remain same from one book to another. '''<u>The Local Network</u>''' . == The Wire Safety Protocol == ok has shown in figure 1.5 the local network the wires are coming out of central office and going parallel sideways to houses. But these wires have plastic tubes. these wires are inside a plastic or steel tube. Now what is the Wire Safety Protocol? For example in pakistan internet disruption is common. Many people complain of that there is no internet for 3 days. so let us solve this disconnection we check the servers, if its not working ok we solve the server. then if server is ok. let us see the router if its working ok otherwise fix it. then the switch if its working ok otherwise fix it. then the modem if its working its ok otherwise fix it. then the wires if the wire is teared or broken fix it otherwise its ok. now let us suppose all things are ok. but still there is internet disruption. now for example in pakistan in one area they dug out the land and install wires. then one person gets internet connection and then for three days his internet is disconnected and the internet provider checks the routers, switches , servers, all things are fine they dug out the land and see wires are installed so what could be the problem . the problem is plastic tube or steel tube that was not installed wires were open so wires broke and tear. In America , the wires or fiber optic installed in sewers also have tubing thats why internet connection doesnt disconnect. in pakistan wires without plastic tube are installed. thats why internet disconnects there so much. so what is the Wire Safety Protocol? the plastic tube or proper tubing. if the Wire Safety Protocol is not followed then all the wiring done will be have to be replaced if wires are broken or teared and even if they are not broken or teared still the force applied by the land on the wires might cause wires to be broken or teared in future. == Using Automation in Wiring == Automation engineering is one of great scientific fields. ok to put wiring we have to dig a land by showel or other tools. this takes a lot of days and is very slow. let us develop an automatic solution. for example we create a steel plate with teeth and connect it with shaft of electric motor when the shaft rotates the steel plate rotates and its teeth cut the land. this process is very much faster. [[File:Figure 1.6 steel plate and teeth connected to electric motor.png|left|thumb|'''Figure 1.6 steel plate with teeth connected to electric motor''']] ok in figure 1.6 you can see the structure of steel plate is shown in front view. then one side view in which the steel plate is connected to shaft of the motor . then one front view of motor with steel plate connected. so the structure of the steel plate is its a circle with empty hole in middle for connection to motor shaft and rectangle teeth. the steel plate is connected with shaft and electric motor is given electric current from portable generator. ok now how do we make the steel plate and teeth and middle hole. we will use sand casting. first we will gather sand then make a circle border and remove the sand to make an empty circle shape then we will put sand in the middle and make circle shape this is the middle hole for connection to shaft then we will put molten steel in it . the steel will fill the circle shape and will not fill the middle circle. so the shape will be steel plate . now for the teeth we will gather sand and make rectangle border with wooden stick or hands then we will put molten steel to fill the rectangle shape. [[File:Sandtomakesteelplate.png|left|thumb|figure 1.7 steel plate sand casting]] [[File:Steelteethshape.png|left|thumb|figure 1.8 steel teeth sand casting]] in figure 1.7 you can see that we made circle border and remove that sand to make empty circle shape. then in the middle of this empty circle we put sand this will be the middle hole for connection with shaft of motor. in figure 1.8 we gathered sand and made rectangle border with wood stick or hands then we removed that sand to make empty rectangle shape then we will fill this with molton steel this will be the teeth. to join the rectangle teeth with circle steel plate weld the rectangle teeth with steel plate you will have to weld 4 or 5 rectangle teeth with steel plate. now put the steel plate on the shaft of electric motor. and give current to motor from generator. it will rotate you can use this automation solution to dig many lands faster. ls1tgxm98biwei8zde3rws7h1v78pxl 0 323153 2821129 2821053 2026-08-09T04:38:17Z ~2026-43713-96 3106109 2821129 wikitext text/x-wiki {{/Banner}} ==Motivation== # [[/Adolescent risk-taking and reward-system development/]] - How does reward circuit maturation influence adolescent sensation-seeking and impulsive behaviours? {{ME-By|User Name}} # [[/Akrasia/]] - Why do people act against their better judgement? - u3269672 # [[/Artificial intelligence and academic motivation/]] - How does artificial intelligence influence students’ motivation to learn, engage, and achieve? {{ME-By|User Name}} # [[/Attachment styles and relatedness motivation/]] - How do attachment styles affect the need for relatedness? {{ME-By|User Name}} # [[/Automaticity and goal pursuit/]] - How do habits and environmental cues drive unconscious goal pursuit? {{ME-By|User Name}} # [[/Basal ganglia and motivation/]] - What is the role of the basal ganglia in motivated behaviour? {{ME-By|User Name}} # [[/Building therapeutic alliance/]] - What psychological factors contribute to the development of a strong therapeutic alliance? {{ME-By|User Name}} # [[/Charismatic leadership and follower motivation/]] - How does charismatic leadership inspire follower motivation? {{ME-By|User Name}} # [[/Citizen science motivation/]] - What motivates participation in citizen science projects? {{ME-By|User Name}} # [[/Competence motivation in self-determination theory/]] - How does the need for competence function within self-determination theory to shape motivation and behaviour? {{ME-By|User Name}} # [[/Consumer emotion measurement/]] - How can consumer emotion be measured? {{ME-By|User Name}} # [[/Creative inspiration and effort/]] - How do inspiration and effort interact during the creative process? {{ME-By|User Name}} # [[/Deliberative vs implemental mindset/]] - What are the motivational and cognitive differences between deliberative and implemental mindsets? {{ME-By|User Name}} # [[/Developing a growth mindset/]] - How can a growth mindset be cultivated and sustained? {{ME-By|User Name}} # [[/Dopamine and reward prediction/]] - How does dopamine affect the anticipation of rewards and subsequent emotional responses? {{ME-By|U3228742}} # [[/Effort regulation and cost-benefit decision-making/]] - How is effort dynamically adjusted based on changing cost-benefit analysis during goal pursuit? {{ME-By|User Name}} # [[/End-of-history illusion and motivation/]] - How does the EOHI influence motivation and what strategies mitigate its impact? {{ME-By|User Name}} # [[/ERG theory and motivation/]] - What is Alderfer's ERG theory and how does it explain human motivation? {{ME-By|User Name}} # [[/Epistemic motivation and the need for cognitive closure/]] - How does epistematic motivation and the need for cognitive closure influence our lives? {{ME-By|U3221734}} # [[/Exercise gamification motivation/]] - How can gamification affect exercise motivation and behaviour? {{ME-By|User Name}} # [[/Expectancy–value theory of educational motivation/]] - What is expectancy–value theory and how can it be applied to understand and enhance educational motivation? {{ME-By|StudentUC2026}} # [[/Extended process model of emotion regulation/]] – What is the extended process model and how does it explain how people regulate emotions? {{ME-By|User Name}} # [[/Feedback literacy/]] - What is feedback literacy, why does it matter, and how can it be developed? {{ME-By|User Name}} # [[/Fogg behaviour model/]] - How can the FBM be applied to understanding and changing behaviour? {{ME-By|User Name}} # [[/Functional motives theory and environmental activism/]] - How does functional motives theory explain the motivations behind environmental activism? {{ME-By|User Name}} # [[/Future orientation and criminal behaviour/]] - How does future orientation influence the risk of criminal activity? {{ME-By|U3275899}} # [[/Game of dice task and decision-making/]] - What does the game of dice task reveal about risk-based decision-making? {{ME-By|User Name}} # [[/Gender and achievement motivation/]] - How does gender shape where, how, and under what conditions achievement motivation is expressed? {{ME-By|U3242837}} # [[/Generativity/]] - What is generativity and how does it impact behaviour and life outcomes? {{ME-By|User Name}} # [[/Getting started/]] - Why is task initiation difficult and how to overcome it? {{ME-By|User Name}} # [[/Goal striving dynamics/]] - What is the role of pushing and coasting in goal striving? {{ME-By|User Name}} # [[/Hygiene motivation/]] - What motivates maintenance of personal hygiene? {{ME-By|User Name}} # [[/Hypothalamus and homeostatic motivation/]] - How do hypothalamic circuits regulate hunger, thirst, and other survival-related motivations? {{ME-By|User Name}} # [[/Impulsivity versus sensation-seeking/]] - What is the distinction between impulsivity and sensation-seeking and how does this affect behaviour? {{ME-By|User Name}} # [[/Indigenous Australian role models and motivation/]] - How do role models influence aspirations, identity development, and motivation among Indigenous Australians? {{ME-By|User Name}} # [[/Interrogation and compliance/]] - What psychological processes influence resistance and compliance during interrogation? {{ME-By|User Name}} # [[/Investment model of commitment and social motivation/]] - How does the investment model of commitment relate to social motivation? {{ME-By|User Name}} # [[/Lifelong learning motivation/]] - What motivates lifelong learning? {{ME-By|U3280251}} # [[/Machiavellian motivation/]] - What is the motivational role of Machiavellianism? {{ME-By|User Name}} # [[/Mesolimbic pathway and addiction motivation/]] - What role does the ventral tegmental area to nucleus accumbens pathway play in addictive behaviours? {{ME-By|User Name}} # [[/Metacognitive monitoring and productivity/]] - How does metacognitive monitoring influence goal attainment and productivity? {{ME-By|User Name}} # [[/Mindsets and stigma/]] - What role do growth versus fixed mindsets play in prejudice and stigma? {{ME-By|User Name}} # [[/Motivations for using sex work services/]] - What motivates use of sex work services? {{ME-By|User Name}} # [[/Motivating virtual teams/]] – How can motivation in virtual teams be optimised? {{ME-By|User Name}} # [[/Motivational effects of incarceration on Indigenous Australians/]] - What are the motivational effects of incarcertation on Indigenous Australians?{{ME-By|U3183521}} # [[/Need to love and be loved/]] - How does the desire to give and receive love influence motivation? {{ME-By|User Name}} # [[/Non-residential energy conservation motivation/]] - How can non-residential building energy conservation be motivated and behaviour changed? {{ME-By|User Name}} # [[/Occupational violence, emotion, and coping/]] - What are the emotional impacts of occupational violence and how can employees cope? {{ME-By|User Name}} # [[/Overconfidence in decision-making/]] - How does overconfidence bias affect judgement and decision-making? {{ME-By|User Name}} # [[/Parental educational aspirations and student achievement/]] - How do parental aspirations shape children’s academic motivation and performance? {{ME-By|User Name}} # [[/Parental motivations for homeschooling/]] - What motivates parents to homeschool their children? {{ME-By|User Name}} # [[/Perfectionism and procrastination/]] - What is the role of perfectionism in procrastination and what can be done about it? - {{ME-By|U3222012}} # [[/Pleasure anticipation and dopamine/]] - How does the brain's reward system generate motivation through expected rather than experienced pleasure? {{ME-By|User Name}} # [[/Possible selves and goal pursuit/]] - How do possible selves influence motivation and goal-directed behaviour? {{ME-By|User Name}} # [[/Power motivation in leadership/]] - How does power motivation influence leadership styles and effectiveness? {{ME-By|User Name}} # [[/Prevention versus promotion mindset/]] - What are the motivational differences between prevention and promotion mindsets? {{ME-By|User Name}} # [[/Protection motivation theory and environmental behaviour/]] - How does protection motivation theory explain engagement in pro-environmental behaviour? {{ME-By|User Name}} # [[/Relatedness motivation in self-determination theory/]] - How does the need for relatedness function within self-determination theory to shape motivation and behaviour? {{ME-By|User Name}} # [[/Retirement motivation/]] - What motivates retirement from work? {{ME-By|User Name}} # [[/Role-play and communication skills training/]] - How does role-play facilitate the development of effective communication skills? {{ME-By|User Name}} # [[/Scarcity versus abundance mindset/]] - How do scarcity and abundance mindsets develop and what are the motivational consequences? {{ME-By|User Name}} # [[/Self-concept and motivation/]] - How does self-concept relate to motivation? {{ME-By|User Name}} # [[/Self-determination theory and dementia care/]] - How can autonomy, competence, and relatedness be supported in people living with dementia? {{ME-By|User Name}} # [[/Self-determination theory and military veteran reintegration/]] - How do autonomy, competence, and relatedness shape psychological adjustment after military service? {{ME-By|U3246286}} # [[/Self-determination theory and physical activity/]] - How do autonomy, competence, and relatedness predict engagement in physical activity and exercise adherence? {{ME-By|User Name}} # [[/Self-determination theory and social media use/]] - How do basic psychological needs explain patterns of social media engagement? {{ME-By|U3237996}} # [[/Sensation-seeking and dopamine/]] - What is the neurobiological relationship between sensation-seeking and dopamine? {{ME-By|User Name}} # [[/Sex differences in sexual arousal patterns/]] - How do patterns of sexual arousal differ between males and females? {{ME-By|User Name}} # [[/Sex work motivation/]] - What motivates sex work and how does this impact worker experiences? {{ME-By|User Name}} # [[/Social dominance and power motivation/]] - What is the relationship between social dominance and power motivation? {{ME-By|User Name}} # [[/Subcortical structures and motivational drive/]] - How do subcortical brain regions generate basic motivational impulses and energy? {{ME-By|User Name}} # [[/Sun exposure and protection motivation/]] - What motivates sun exposure and protection behaviours? {{ME-By|User Name}} # [[/Surrender motivation/]] - What is the motivational state of surrender and what are its impacts? {{ME-By|User Name}} # [[/The quiet ego and motivation/]] - How does a quiet ego balance self-interest with concern for others? {{ME-By|User Name}} # [[/Thermoregulation and motivation/]] - How does the drive to maintain body temperature influence behaviour? {{ME-By|User Name}} # [[/Tonic-phasic model of dopamine regulation/]] - What is the tonic/phasic model of dopamine regulation and how does affect behaviour? {{ME-By|User Name}} # [[/Types of impulsivity/]] - What are the different types of impulsivity and how do they affect motivation? {{ME-By|User Name}} # [[/Value congruence and motivation/]] - How does alignment between personal and situational values influence motivation? {{ME-By|User Name}} # [[/Volunteer counsellor motivation/]] - What motivates people to become and remain volunteer counsellors? {{ME-By|User Name}} # [[/Windfall gain effect/]] - How doe unexpected wealth influence behaviour and decision-making? {{ME-By|User Name}} # [[/Youth environmental activism motivation/]] - What motivates young people to engage in environmental activism? {{ME-By|User Name}} ==Emotion== # [[/Active versus passive social media use/]] - How do different patterns of social media engagement influence emotions and psychological wellbeing? {{ME-By|User Name}} # [[/Adaptive versus maladaptive self-reflection/]] – When does self-reflection promote wellbeing and when does it contribute to psychological distress? {{ME-By|User Name}} # [[/Affect heuristic/]] - What is the affect heuristic and how does it influence decision making? {{ME-By|User Name}} # [[/Alcohol use for emotion regulation/]] - Why and how do people use alcohol to regulate their emotions? {{ME-By|User Name}} # [[/Apocalyptic fear/]] - What is apocalyptic fear, what are its consequences, and how can it be dealt with? {{ME-By|LazPulch}} # [[/Awe and the diminished self/]] - How does awe diminish the self and how can this be applied? {{ME-By|User Name}} # [[/Awe and nature/]] - What is the relationship between awe and nature? {{ME-By|User Name}} # [[/Biofeedback and emotion regulation/]] - How does biofeedback help individuals monitor and regulate their emotional states? {{ME-By|User Name}} # [[/Body neutrality and emotional well-being/]] - How does a body-neutral perspective affect emotional well-being? {{ME-By|User Name}} # [[/Breathing exercises and relaxation/]] - How can breathing exercises promote relaxation? {{ME-By|User Name}} # [[/Cancer screening and emotion/]] - How do emotions such as fear, anxiety, and relief influence cancer screening uptake? {{ME-By|User Name}} # [[/Cognitive hardiness and stress resilience/]] – How does cognitive hardiness promote resilience to stress and adversity? {{ME-By|User Name}} # [[/Cognitive versus affective empathy/]] - What are the differences between cognitive and affective empathy and how do they contribute to prosociality? {{ME-By|User Name}} # [[/Dark empathy/]] - What is dark empathy, what are its consequences, and what can be done to address it? {{ME-By|User Name}} # [[/Dreams and emotional problem-solving/]] - How do REM dreams contribute to emotional processing and adaptive coping? {{ME-By|User Name}} # [[/Durability bias in affective forecasting/]] - What role does durability bias play in affective forecasting? {{ME-By|User Name}} # [[/Eco-emotions/]] - What are eco-emotions, how do they influence behaviour, and how can they be managed? {{ME-By|User Name}} # [[/Emotional effects of incarceration on Indigenous Australians/]] - What are the emotional effects of incarcertation on Indigenous Australians?{{ME-By|User Name}} # [[/Emotional expressivity/]] – What is emotional expressivity, why does it matter, and how can it be developed? {{ME-By|User Name}} # [[/Emotional flooding in relationships/]] - Why does emotional flooding occur, how does it affect relationships, and what can be done about it? {{ME-By|User Name}} # [[/Emotional intelligence and emotional wellbeing/]] - How does emotional intelligence affect emotional wellbeing? {{ME-By|User Name}} # [[/Emotional role-playing/]] - How does role-playing influence emotional experience, expression, and regulation? {{ME-By|User Name}} # [[/Emotion detection using artificial intelligence/]] - How can emotion be detected using artificial intelligence? {{ME-By|User Name}} # [[/Emotion dysregulation/]] – What is emotion dysregulation, what are its consequences, and how can it be managed? {{ME-By|U3285438}} # [[/Emotion regulation ability and strategy/]] – How do ability and strategy differ in shaping emotion regulation? {{ME-By|User Name}} # [[/Emotion regulation through exercise/]] - How do people use exercise to regulate their emotional states? {{ME-By|KB3250298}} # [[/Emotions in activism/]] - How do emotions motivate, shape, and sustain activism? {{ME-By|User Name}} # [[/Empathy fatigue and emotional exhaustion/]] - How does sustained empathic engagement contribute to emotional exhaustion? {{ME-By|User Name}} # [[/Enjoyment and learning/]] - How does enjoyment influence learning? {{ME-By|User Name}} # [[/Environmental volunteering and wellbeing/]] - How does participation in environmental volunteering influence volunteers' subjective wellbeing? {{ME-By|User Name}} # [[/Excitement as an emotion/]] - What is the emotional excitement and how does it influence behaviour and wellbeing? {{ME-By|User Name}} # [[/Fear extinction/]] - What psychological and neural processes underlie the extinction of fear responses? {{ME-By|User Name}} # [[/Focalism in affective forecasting/]] - What is focalism and how does it bias predictions about future emotional experiences? {{ME-By|User Name}} # [[/Gloatrage/]] - What is gloatrage, what causes it, and what are its consequences? {{ME-By|User Name}} # [[/Human trust of robots/]] - What psychological factors shape human trust of robots? {{ME-By|User Name}} # [[/Identify exploration through role-playing games/]] - How do role-playing games facilitate identity exploration and self-discovery? {{ME-By|User Name}} # [[/Immersive therapy for PTSD treatment/]] - How does it work and what are the effects? {{ME-By|StretchBeyond}} # [[/Indigenous Australian funeral practices and grieving/]] - How do Indigenous Australian funeral practices assist with grieving? {{ME-By|User Name}} # [[/Interpersonal psychotherapy and emotion/]] - How does interpersonal psychotherapy improve emotional wellbeing through changes in relationships? {{ME-By|User Name}} # [[/Introjection and guilt-based motivation/]] - What role do shame and guilt play in introjected forms of behavioural regulation? {{ME-By|User Name}} # [[/Irritability/]] - What is irritability, what causes it, what are its consequences, and how can it be managed? {{ME-By|User Name}} # [[/Love styles and relationships/]] - How do love styles influence relationship satisfaction and stability? {{ME-By|User Name}} # [[/Melatonin and seasonal mood/]] - What role does melatonin play in seasonal mood changes? {{ME-By|User Name}} # [[/Mental health first aid and helping behaviour/]] - What motivates people to recognise, approach, and support someone with a mental health problem? {{ME-By|User Name}} # [[/Mindfulness and nature connectedness/]] - How does mindfulness influence nature connectedness? {{ME-By|User Name}} # [[/Mood and cognitive performance/]] – How do different mood states impact attention, memory, and problem solving? {{ME-By|User Name}} # [[/Moodiness/]] - What is moodiness, why does it occur, and how can it be managed? {{ME-By|User Name}} # [[/Neurobiology of love/]] - What neural systems and biochemical processes underlie love? {{ME-By|User Name}} # [[/Neurofeedback and emotional regulation/]] - How can neurofeedback influence enhance emotional regulation? {{ME-By|User Name}} # [[/Nitrous oxide and emotion/]] - How does nitrous oxide influence emotional experience and mood? {{ME-By|User Name}} # [[/Noise and emotion/]] - How do different types of noise affect emotional experience and wellbeing? {{ME-By|User Name}} # [[/Opponent process theory and emotion/]] - What role do opposing affective states play in emotional experience? {{ME-By|User Name}} # [[/Outdoor play and children's emotional well-being/]] - How does outdoor play influence children's emotional well-being? {{ME-By|User Name}} # [[/Phubbing and emotion/]] - What are the emotional causes and consequences of phubbing? {{ME-By|User Name}} # [[/Positive emotion dysregulation/]] - What is positive emotion dysregulation and how does it affect psychological functioning? {{ME-By|User Name}} # [[/Psychological preparation for natural disasters/]] - How can people psychologically prepare for natural disasters? {{ME-By|User Name}} # [[/Psychological safety and feedback uptake/]] - How does psychological safety influence openness to feedback? {{ME-By|User Name}} # [[/Reflected glory/]] - What is reflected glory and what are its pros and cons? {{ME-By|User Name}} # [[/Remote work and well-being/]] - How does remote work influence employee well-being? {{ME-By|User Name}} # [[/Responsiveness and interpersonal trust/]] - How does responsiveness foster trust in relationships? {{ME-By|User Name}} # [[/Romantic jealousy/]] - Why does romantic jealousy occur, what are its impacts, and how can it be managed? {{ME-By|User Name}} # [[/Secondary trauma in healthcare workers/]] - What are the emotional consequences of secondary trauma in healthcare settings? {{ME-By|User Name}} # [[/Seasonal affective disorder/]] - What is SAD, why does it occur, and how can it be managed? {{ME-By|User Name}} # [[/Self-blame and emotion/]] – How does self-blame influence emotional responses to negative events? {{ME-By|User Name}} # [[/Self-disclosure and emotional intimacy/]] – How does self-disclosure foster emotional closeness in relationships? {{ME-By|User Name}} # [[/Self-stigma and emotion/]] - How does self-stigma impact emotional well-being? {{ME-By|User Name}} # [[/Social connection and emotion regulation/]] - How do social relationships help people emotions? {{ME-By|User Name}} # [[/Socioemotional selectivity theory and wellbeing in ageing/]] - How do social and emotional experiences affect wellbeing as people age? {{ME-By|User Name}} # [[/Spirituality and resilience/]] - What is the relationship between spirituality and psychological resilience? {{ME-By|User Name}} # [[/Subjective wellbeing homeostasis theory/]] - How does homeostatic theory explain the stability and regulation of subjective wellbeing? {{ME-By|User Name}} # [[/Technology-based pain management/]] - How can technology-based tools alter pain perception and pain management? {{ME-By|User Name}} # [[/Theory of positive disintegration and personal growth/]] - What is the TPD and how can it be applied to personal growth? {{ME-By|User Name}} # [[/Time perception in mood disorders/]] - How do anxiety and depression alter the subjective experience of time? {{ME-By|User Name}} # [[/Trust in artificial intelligence/]] - What psychological factors shape human trust of artificial intelligence systems? {{ME-By|User Name}} # [[/Trust rebuilding after trauma/]] - How can trauma survivors develop trust in similar situations again? {{ME-By|User Name}} # [[/Volunteer wellbeing/]] - How does volunteering affect volunteer's subjective wellbeing? {{ME-By|User Name}} # [[/Wayfinding and affective experience/]] - How do emotions influence navigation and spatial behaviour? {{ME-By|User Name}} ==Motivation and emotion== # [[/Boredom and interest/]] - How do boredom and interest shape emotional and motivational states? {{ME-By|User Name}} # [[/Falling in love/]] - What motivational and emotional processes underlie romantic attraction and falling in love? {{ME-By|User Name}} # [[/Life purpose and well-being/]] - How does a sense of purpose contribute to well-being and how can it be cultivated? {{ME-By|User Name}} # [[/Moral emotions and ethical behaviour/]] - How do moral emotions motivate ethical and prosocial action? {{ME-By|User Name}} # [[/Oxytocin as a neuromodulator/]] - What are the motivational and emotional effects of oxytocin as a neuromodulator? {{ME-By|User Name}} # [[/Reward prediction error/]] - How does discrepancy between expected and actual rewards influence learning, emotion, and motivation? {{ME-By|User Name}} # [[/Reinforcement sensitivity theory/]] – How does reinforcement sensitivity theory explain individual differences in motivation and emotion? {{ME-By|User Name}} # [[/Reward prediction error/]] - How do reward prediction errors influence learning, emotion, and motivation? {{ME-By|User Name}} # [[/Social and emotional well-being in Indigenous Australians/]] - How does the holistic social and emotional well-being model reframe Indigenous Australian health and well-being? {{ME-By|User Name}} # [[/Strengths-based Indigenous Australian psychology/]] - How can strengths-based perspectives enhance understanding of Indigenous motivation and emotion? {{ME-By|User Name}} # [[/Warm-glow giving/]] - Why does giving feel good and how does this influence prosocial behaviour? {{ME-By|User Name}} # [[/Wisdom, motivation, and emotion/]] - How do motivational and emotional processes contribute to wisdom? {{ME-By|User Name}} [[Category:Motivation and emotion/Book/2026]] npy2wvs2brjm1mska5mhzglh563qxwd 2821132 2821129 2026-08-09T05:03:35Z Jtneill 10242 Fix user name 2821132 wikitext text/x-wiki {{/Banner}} ==Motivation== # [[/Adolescent risk-taking and reward-system development/]] - How does reward circuit maturation influence adolescent sensation-seeking and impulsive behaviours? {{ME-By|User Name}} # [[/Akrasia/]] - Why do people act against their better judgement? - {{ME-By|U3269672}} # [[/Artificial intelligence and academic motivation/]] - How does artificial intelligence influence students’ motivation to learn, engage, and achieve? {{ME-By|User Name}} # [[/Attachment styles and relatedness motivation/]] - How do attachment styles affect the need for relatedness? {{ME-By|User Name}} # [[/Automaticity and goal pursuit/]] - How do habits and environmental cues drive unconscious goal pursuit? {{ME-By|User Name}} # [[/Basal ganglia and motivation/]] - What is the role of the basal ganglia in motivated behaviour? {{ME-By|User Name}} # [[/Building therapeutic alliance/]] - What psychological factors contribute to the development of a strong therapeutic alliance? {{ME-By|User Name}} # [[/Charismatic leadership and follower motivation/]] - How does charismatic leadership inspire follower motivation? {{ME-By|User Name}} # [[/Citizen science motivation/]] - What motivates participation in citizen science projects? {{ME-By|User Name}} # [[/Competence motivation in self-determination theory/]] - How does the need for competence function within self-determination theory to shape motivation and behaviour? {{ME-By|User Name}} # [[/Consumer emotion measurement/]] - How can consumer emotion be measured? {{ME-By|User Name}} # [[/Creative inspiration and effort/]] - How do inspiration and effort interact during the creative process? {{ME-By|User Name}} # [[/Deliberative vs implemental mindset/]] - What are the motivational and cognitive differences between deliberative and implemental mindsets? {{ME-By|User Name}} # [[/Developing a growth mindset/]] - How can a growth mindset be cultivated and sustained? {{ME-By|User Name}} # [[/Dopamine and reward prediction/]] - How does dopamine affect the anticipation of rewards and subsequent emotional responses? {{ME-By|U3228742}} # [[/Effort regulation and cost-benefit decision-making/]] - How is effort dynamically adjusted based on changing cost-benefit analysis during goal pursuit? {{ME-By|User Name}} # [[/End-of-history illusion and motivation/]] - How does the EOHI influence motivation and what strategies mitigate its impact? {{ME-By|User Name}} # [[/ERG theory and motivation/]] - What is Alderfer's ERG theory and how does it explain human motivation? {{ME-By|User Name}} # [[/Epistemic motivation and the need for cognitive closure/]] - How does epistematic motivation and the need for cognitive closure influence our lives? {{ME-By|U3221734}} # [[/Exercise gamification motivation/]] - How can gamification affect exercise motivation and behaviour? {{ME-By|User Name}} # [[/Expectancy–value theory of educational motivation/]] - What is expectancy–value theory and how can it be applied to understand and enhance educational motivation? {{ME-By|StudentUC2026}} # [[/Extended process model of emotion regulation/]] – What is the extended process model and how does it explain how people regulate emotions? {{ME-By|User Name}} # [[/Feedback literacy/]] - What is feedback literacy, why does it matter, and how can it be developed? {{ME-By|User Name}} # [[/Fogg behaviour model/]] - How can the FBM be applied to understanding and changing behaviour? {{ME-By|User Name}} # [[/Functional motives theory and environmental activism/]] - How does functional motives theory explain the motivations behind environmental activism? {{ME-By|User Name}} # [[/Future orientation and criminal behaviour/]] - How does future orientation influence the risk of criminal activity? {{ME-By|U3275899}} # [[/Game of dice task and decision-making/]] - What does the game of dice task reveal about risk-based decision-making? {{ME-By|User Name}} # [[/Gender and achievement motivation/]] - How does gender shape where, how, and under what conditions achievement motivation is expressed? {{ME-By|U3242837}} # [[/Generativity/]] - What is generativity and how does it impact behaviour and life outcomes? {{ME-By|User Name}} # [[/Getting started/]] - Why is task initiation difficult and how to overcome it? {{ME-By|User Name}} # [[/Goal striving dynamics/]] - What is the role of pushing and coasting in goal striving? {{ME-By|User Name}} # [[/Hygiene motivation/]] - What motivates maintenance of personal hygiene? {{ME-By|User Name}} # [[/Hypothalamus and homeostatic motivation/]] - How do hypothalamic circuits regulate hunger, thirst, and other survival-related motivations? {{ME-By|User Name}} # [[/Impulsivity versus sensation-seeking/]] - What is the distinction between impulsivity and sensation-seeking and how does this affect behaviour? {{ME-By|User Name}} # [[/Indigenous Australian role models and motivation/]] - How do role models influence aspirations, identity development, and motivation among Indigenous Australians? {{ME-By|User Name}} # [[/Interrogation and compliance/]] - What psychological processes influence resistance and compliance during interrogation? {{ME-By|User Name}} # [[/Investment model of commitment and social motivation/]] - How does the investment model of commitment relate to social motivation? {{ME-By|User Name}} # [[/Lifelong learning motivation/]] - What motivates lifelong learning? {{ME-By|U3280251}} # [[/Machiavellian motivation/]] - What is the motivational role of Machiavellianism? {{ME-By|User Name}} # [[/Mesolimbic pathway and addiction motivation/]] - What role does the ventral tegmental area to nucleus accumbens pathway play in addictive behaviours? {{ME-By|User Name}} # [[/Metacognitive monitoring and productivity/]] - How does metacognitive monitoring influence goal attainment and productivity? {{ME-By|User Name}} # [[/Mindsets and stigma/]] - What role do growth versus fixed mindsets play in prejudice and stigma? {{ME-By|User Name}} # [[/Motivations for using sex work services/]] - What motivates use of sex work services? {{ME-By|User Name}} # [[/Motivating virtual teams/]] – How can motivation in virtual teams be optimised? {{ME-By|User Name}} # [[/Motivational effects of incarceration on Indigenous Australians/]] - What are the motivational effects of incarcertation on Indigenous Australians?{{ME-By|U3183521}} # [[/Need to love and be loved/]] - How does the desire to give and receive love influence motivation? {{ME-By|User Name}} # [[/Non-residential energy conservation motivation/]] - How can non-residential building energy conservation be motivated and behaviour changed? {{ME-By|User Name}} # [[/Occupational violence, emotion, and coping/]] - What are the emotional impacts of occupational violence and how can employees cope? {{ME-By|User Name}} # [[/Overconfidence in decision-making/]] - How does overconfidence bias affect judgement and decision-making? {{ME-By|User Name}} # [[/Parental educational aspirations and student achievement/]] - How do parental aspirations shape children’s academic motivation and performance? {{ME-By|User Name}} # [[/Parental motivations for homeschooling/]] - What motivates parents to homeschool their children? {{ME-By|User Name}} # [[/Perfectionism and procrastination/]] - What is the role of perfectionism in procrastination and what can be done about it? - {{ME-By|U3222012}} # [[/Pleasure anticipation and dopamine/]] - How does the brain's reward system generate motivation through expected rather than experienced pleasure? {{ME-By|User Name}} # [[/Possible selves and goal pursuit/]] - How do possible selves influence motivation and goal-directed behaviour? {{ME-By|User Name}} # [[/Power motivation in leadership/]] - How does power motivation influence leadership styles and effectiveness? {{ME-By|User Name}} # [[/Prevention versus promotion mindset/]] - What are the motivational differences between prevention and promotion mindsets? {{ME-By|User Name}} # [[/Protection motivation theory and environmental behaviour/]] - How does protection motivation theory explain engagement in pro-environmental behaviour? {{ME-By|User Name}} # [[/Relatedness motivation in self-determination theory/]] - How does the need for relatedness function within self-determination theory to shape motivation and behaviour? {{ME-By|User Name}} # [[/Retirement motivation/]] - What motivates retirement from work? {{ME-By|User Name}} # [[/Role-play and communication skills training/]] - How does role-play facilitate the development of effective communication skills? {{ME-By|User Name}} # [[/Scarcity versus abundance mindset/]] - How do scarcity and abundance mindsets develop and what are the motivational consequences? {{ME-By|User Name}} # [[/Self-concept and motivation/]] - How does self-concept relate to motivation? {{ME-By|User Name}} # [[/Self-determination theory and dementia care/]] - How can autonomy, competence, and relatedness be supported in people living with dementia? {{ME-By|User Name}} # [[/Self-determination theory and military veteran reintegration/]] - How do autonomy, competence, and relatedness shape psychological adjustment after military service? {{ME-By|U3246286}} # [[/Self-determination theory and physical activity/]] - How do autonomy, competence, and relatedness predict engagement in physical activity and exercise adherence? {{ME-By|User Name}} # [[/Self-determination theory and social media use/]] - How do basic psychological needs explain patterns of social media engagement? {{ME-By|U3237996}} # [[/Sensation-seeking and dopamine/]] - What is the neurobiological relationship between sensation-seeking and dopamine? {{ME-By|User Name}} # [[/Sex differences in sexual arousal patterns/]] - How do patterns of sexual arousal differ between males and females? {{ME-By|User Name}} # [[/Sex work motivation/]] - What motivates sex work and how does this impact worker experiences? {{ME-By|User Name}} # [[/Social dominance and power motivation/]] - What is the relationship between social dominance and power motivation? {{ME-By|User Name}} # [[/Subcortical structures and motivational drive/]] - How do subcortical brain regions generate basic motivational impulses and energy? {{ME-By|User Name}} # [[/Sun exposure and protection motivation/]] - What motivates sun exposure and protection behaviours? {{ME-By|User Name}} # [[/Surrender motivation/]] - What is the motivational state of surrender and what are its impacts? {{ME-By|User Name}} # [[/The quiet ego and motivation/]] - How does a quiet ego balance self-interest with concern for others? {{ME-By|User Name}} # [[/Thermoregulation and motivation/]] - How does the drive to maintain body temperature influence behaviour? {{ME-By|User Name}} # [[/Tonic-phasic model of dopamine regulation/]] - What is the tonic/phasic model of dopamine regulation and how does affect behaviour? {{ME-By|User Name}} # [[/Types of impulsivity/]] - What are the different types of impulsivity and how do they affect motivation? {{ME-By|User Name}} # [[/Value congruence and motivation/]] - How does alignment between personal and situational values influence motivation? {{ME-By|User Name}} # [[/Volunteer counsellor motivation/]] - What motivates people to become and remain volunteer counsellors? {{ME-By|User Name}} # [[/Windfall gain effect/]] - How doe unexpected wealth influence behaviour and decision-making? {{ME-By|User Name}} # [[/Youth environmental activism motivation/]] - What motivates young people to engage in environmental activism? {{ME-By|User Name}} ==Emotion== # [[/Active versus passive social media use/]] - How do different patterns of social media engagement influence emotions and psychological wellbeing? {{ME-By|User Name}} # [[/Adaptive versus maladaptive self-reflection/]] – When does self-reflection promote wellbeing and when does it contribute to psychological distress? {{ME-By|User Name}} # [[/Affect heuristic/]] - What is the affect heuristic and how does it influence decision making? {{ME-By|User Name}} # [[/Alcohol use for emotion regulation/]] - Why and how do people use alcohol to regulate their emotions? {{ME-By|User Name}} # [[/Apocalyptic fear/]] - What is apocalyptic fear, what are its consequences, and how can it be dealt with? {{ME-By|LazPulch}} # [[/Awe and the diminished self/]] - How does awe diminish the self and how can this be applied? {{ME-By|User Name}} # [[/Awe and nature/]] - What is the relationship between awe and nature? {{ME-By|User Name}} # [[/Biofeedback and emotion regulation/]] - How does biofeedback help individuals monitor and regulate their emotional states? {{ME-By|User Name}} # [[/Body neutrality and emotional well-being/]] - How does a body-neutral perspective affect emotional well-being? {{ME-By|User Name}} # [[/Breathing exercises and relaxation/]] - How can breathing exercises promote relaxation? {{ME-By|User Name}} # [[/Cancer screening and emotion/]] - How do emotions such as fear, anxiety, and relief influence cancer screening uptake? {{ME-By|User Name}} # [[/Cognitive hardiness and stress resilience/]] – How does cognitive hardiness promote resilience to stress and adversity? {{ME-By|User Name}} # [[/Cognitive versus affective empathy/]] - What are the differences between cognitive and affective empathy and how do they contribute to prosociality? {{ME-By|User Name}} # [[/Dark empathy/]] - What is dark empathy, what are its consequences, and what can be done to address it? {{ME-By|User Name}} # [[/Dreams and emotional problem-solving/]] - How do REM dreams contribute to emotional processing and adaptive coping? {{ME-By|User Name}} # [[/Durability bias in affective forecasting/]] - What role does durability bias play in affective forecasting? {{ME-By|User Name}} # [[/Eco-emotions/]] - What are eco-emotions, how do they influence behaviour, and how can they be managed? {{ME-By|User Name}} # [[/Emotional effects of incarceration on Indigenous Australians/]] - What are the emotional effects of incarcertation on Indigenous Australians?{{ME-By|User Name}} # [[/Emotional expressivity/]] – What is emotional expressivity, why does it matter, and how can it be developed? {{ME-By|User Name}} # [[/Emotional flooding in relationships/]] - Why does emotional flooding occur, how does it affect relationships, and what can be done about it? {{ME-By|User Name}} # [[/Emotional intelligence and emotional wellbeing/]] - How does emotional intelligence affect emotional wellbeing? {{ME-By|User Name}} # [[/Emotional role-playing/]] - How does role-playing influence emotional experience, expression, and regulation? {{ME-By|User Name}} # [[/Emotion detection using artificial intelligence/]] - How can emotion be detected using artificial intelligence? {{ME-By|User Name}} # [[/Emotion dysregulation/]] – What is emotion dysregulation, what are its consequences, and how can it be managed? {{ME-By|U3285438}} # [[/Emotion regulation ability and strategy/]] – How do ability and strategy differ in shaping emotion regulation? {{ME-By|User Name}} # [[/Emotion regulation through exercise/]] - How do people use exercise to regulate their emotional states? {{ME-By|KB3250298}} # [[/Emotions in activism/]] - How do emotions motivate, shape, and sustain activism? {{ME-By|User Name}} # [[/Empathy fatigue and emotional exhaustion/]] - How does sustained empathic engagement contribute to emotional exhaustion? {{ME-By|User Name}} # [[/Enjoyment and learning/]] - How does enjoyment influence learning? {{ME-By|User Name}} # [[/Environmental volunteering and wellbeing/]] - How does participation in environmental volunteering influence volunteers' subjective wellbeing? {{ME-By|User Name}} # [[/Excitement as an emotion/]] - What is the emotional excitement and how does it influence behaviour and wellbeing? {{ME-By|User Name}} # [[/Fear extinction/]] - What psychological and neural processes underlie the extinction of fear responses? {{ME-By|User Name}} # [[/Focalism in affective forecasting/]] - What is focalism and how does it bias predictions about future emotional experiences? {{ME-By|User Name}} # [[/Gloatrage/]] - What is gloatrage, what causes it, and what are its consequences? {{ME-By|User Name}} # [[/Human trust of robots/]] - What psychological factors shape human trust of robots? {{ME-By|User Name}} # [[/Identify exploration through role-playing games/]] - How do role-playing games facilitate identity exploration and self-discovery? {{ME-By|User Name}} # [[/Immersive therapy for PTSD treatment/]] - How does it work and what are the effects? {{ME-By|StretchBeyond}} # [[/Indigenous Australian funeral practices and grieving/]] - How do Indigenous Australian funeral practices assist with grieving? {{ME-By|User Name}} # [[/Interpersonal psychotherapy and emotion/]] - How does interpersonal psychotherapy improve emotional wellbeing through changes in relationships? {{ME-By|User Name}} # [[/Introjection and guilt-based motivation/]] - What role do shame and guilt play in introjected forms of behavioural regulation? {{ME-By|User Name}} # [[/Irritability/]] - What is irritability, what causes it, what are its consequences, and how can it be managed? {{ME-By|User Name}} # [[/Love styles and relationships/]] - How do love styles influence relationship satisfaction and stability? {{ME-By|User Name}} # [[/Melatonin and seasonal mood/]] - What role does melatonin play in seasonal mood changes? {{ME-By|User Name}} # [[/Mental health first aid and helping behaviour/]] - What motivates people to recognise, approach, and support someone with a mental health problem? {{ME-By|User Name}} # [[/Mindfulness and nature connectedness/]] - How does mindfulness influence nature connectedness? {{ME-By|User Name}} # [[/Mood and cognitive performance/]] – How do different mood states impact attention, memory, and problem solving? {{ME-By|User Name}} # [[/Moodiness/]] - What is moodiness, why does it occur, and how can it be managed? {{ME-By|User Name}} # [[/Neurobiology of love/]] - What neural systems and biochemical processes underlie love? {{ME-By|User Name}} # [[/Neurofeedback and emotional regulation/]] - How can neurofeedback influence enhance emotional regulation? {{ME-By|User Name}} # [[/Nitrous oxide and emotion/]] - How does nitrous oxide influence emotional experience and mood? {{ME-By|User Name}} # [[/Noise and emotion/]] - How do different types of noise affect emotional experience and wellbeing? {{ME-By|User Name}} # [[/Opponent process theory and emotion/]] - What role do opposing affective states play in emotional experience? {{ME-By|User Name}} # [[/Outdoor play and children's emotional well-being/]] - How does outdoor play influence children's emotional well-being? {{ME-By|User Name}} # [[/Phubbing and emotion/]] - What are the emotional causes and consequences of phubbing? {{ME-By|User Name}} # [[/Positive emotion dysregulation/]] - What is positive emotion dysregulation and how does it affect psychological functioning? {{ME-By|User Name}} # [[/Psychological preparation for natural disasters/]] - How can people psychologically prepare for natural disasters? {{ME-By|User Name}} # [[/Psychological safety and feedback uptake/]] - How does psychological safety influence openness to feedback? {{ME-By|User Name}} # [[/Reflected glory/]] - What is reflected glory and what are its pros and cons? {{ME-By|User Name}} # [[/Remote work and well-being/]] - How does remote work influence employee well-being? {{ME-By|User Name}} # [[/Responsiveness and interpersonal trust/]] - How does responsiveness foster trust in relationships? {{ME-By|User Name}} # [[/Romantic jealousy/]] - Why does romantic jealousy occur, what are its impacts, and how can it be managed? {{ME-By|User Name}} # [[/Secondary trauma in healthcare workers/]] - What are the emotional consequences of secondary trauma in healthcare settings? {{ME-By|User Name}} # [[/Seasonal affective disorder/]] - What is SAD, why does it occur, and how can it be managed? {{ME-By|User Name}} # [[/Self-blame and emotion/]] – How does self-blame influence emotional responses to negative events? {{ME-By|User Name}} # [[/Self-disclosure and emotional intimacy/]] – How does self-disclosure foster emotional closeness in relationships? {{ME-By|User Name}} # [[/Self-stigma and emotion/]] - How does self-stigma impact emotional well-being? {{ME-By|User Name}} # [[/Social connection and emotion regulation/]] - How do social relationships help people emotions? {{ME-By|User Name}} # [[/Socioemotional selectivity theory and wellbeing in ageing/]] - How do social and emotional experiences affect wellbeing as people age? {{ME-By|User Name}} # [[/Spirituality and resilience/]] - What is the relationship between spirituality and psychological resilience? {{ME-By|User Name}} # [[/Subjective wellbeing homeostasis theory/]] - How does homeostatic theory explain the stability and regulation of subjective wellbeing? {{ME-By|User Name}} # [[/Technology-based pain management/]] - How can technology-based tools alter pain perception and pain management? {{ME-By|User Name}} # [[/Theory of positive disintegration and personal growth/]] - What is the TPD and how can it be applied to personal growth? {{ME-By|User Name}} # [[/Time perception in mood disorders/]] - How do anxiety and depression alter the subjective experience of time? {{ME-By|User Name}} # [[/Trust in artificial intelligence/]] - What psychological factors shape human trust of artificial intelligence systems? {{ME-By|User Name}} # [[/Trust rebuilding after trauma/]] - How can trauma survivors develop trust in similar situations again? {{ME-By|User Name}} # [[/Volunteer wellbeing/]] - How does volunteering affect volunteer's subjective wellbeing? {{ME-By|User Name}} # [[/Wayfinding and affective experience/]] - How do emotions influence navigation and spatial behaviour? {{ME-By|User Name}} ==Motivation and emotion== # [[/Boredom and interest/]] - How do boredom and interest shape emotional and motivational states? {{ME-By|User Name}} # [[/Falling in love/]] - What motivational and emotional processes underlie romantic attraction and falling in love? {{ME-By|User Name}} # [[/Life purpose and well-being/]] - How does a sense of purpose contribute to well-being and how can it be cultivated? {{ME-By|User Name}} # [[/Moral emotions and ethical behaviour/]] - How do moral emotions motivate ethical and prosocial action? {{ME-By|User Name}} # [[/Oxytocin as a neuromodulator/]] - What are the motivational and emotional effects of oxytocin as a neuromodulator? {{ME-By|User Name}} # [[/Reward prediction error/]] - How does discrepancy between expected and actual rewards influence learning, emotion, and motivation? {{ME-By|User Name}} # [[/Reinforcement sensitivity theory/]] – How does reinforcement sensitivity theory explain individual differences in motivation and emotion? {{ME-By|User Name}} # [[/Reward prediction error/]] - How do reward prediction errors influence learning, emotion, and motivation? {{ME-By|User Name}} # [[/Social and emotional well-being in Indigenous Australians/]] - How does the holistic social and emotional well-being model reframe Indigenous Australian health and well-being? {{ME-By|User Name}} # [[/Strengths-based Indigenous Australian psychology/]] - How can strengths-based perspectives enhance understanding of Indigenous motivation and emotion? {{ME-By|User Name}} # [[/Warm-glow giving/]] - Why does giving feel good and how does this influence prosocial behaviour? {{ME-By|User Name}} # [[/Wisdom, motivation, and emotion/]] - How do motivational and emotional processes contribute to wisdom? {{ME-By|User Name}} [[Category:Motivation and emotion/Book/2026]] hsmlbkpuv3zt6vyqtvqz8lfp91jhe4t 2821133 2821132 2026-08-09T05:56:54Z U3228742 3005570 2821133 wikitext text/x-wiki {{/Banner}} ==Motivation== # [[/Adolescent risk-taking and reward-system development/]] - How does reward circuit maturation influence adolescent sensation-seeking and impulsive behaviours? {{ME-By|User Name}} # [[/Akrasia/]] - Why do people act against their better judgement? - {{ME-By|U3269672}} # [[/Artificial intelligence and academic motivation/]] - How does artificial intelligence influence students’ motivation to learn, engage, and achieve? {{ME-By|User Name}} # [[/Attachment styles and relatedness motivation/]] - How do attachment styles affect the need for relatedness? {{ME-By|User Name}} # [[/Automaticity and goal pursuit/]] - How do habits and environmental cues drive unconscious goal pursuit? {{ME-By|User Name}} # [[/Basal ganglia and motivation/]] - What is the role of the basal ganglia in motivated behaviour? {{ME-By|User Name}} # [[/Building therapeutic alliance/]] - What psychological factors contribute to the development of a strong therapeutic alliance? {{ME-By|User Name}} # [[/Charismatic leadership and follower motivation/]] - How does charismatic leadership inspire follower motivation? {{ME-By|User Name}} # [[/Citizen science motivation/]] - What motivates participation in citizen science projects? {{ME-By|User Name}} # [[/Competence motivation in self-determination theory/]] - How does the need for competence function within self-determination theory to shape motivation and behaviour? {{ME-By|User Name}} # [[/Consumer emotion measurement/]] - How can consumer emotion be measured? {{ME-By|User Name}} # [[/Creative inspiration and effort/]] - How do inspiration and effort interact during the creative process? {{ME-By|User Name}} # [[/Deliberative vs implemental mindset/]] - What are the motivational and cognitive differences between deliberative and implemental mindsets? {{ME-By|User Name}} # [[/Developing a growth mindset/]] - How can a growth mindset be cultivated and sustained? {{ME-By|User Name}} # [[/Dopamine and reward prediction/]] - How does dopamine affect the anticipation of rewards and subsequent emotional responses? {{ME-By|U3228742}} # [[/Effort regulation and cost-benefit decision-making/]] - How is effort dynamically adjusted based on changing cost-benefit analysis during goal pursuit? {{ME-By|User Name}} # [[/End-of-history illusion and motivation/]] - How does the EOHI influence motivation and what strategies mitigate its impact? {{ME-By|User Name}} # [[/ERG theory and motivation/]] - What is Alderfer's ERG theory and how does it explain human motivation? {{ME-By|User Name}} # [[/Epistemic motivation and the need for cognitive closure/]] - How does epistematic motivation and the need for cognitive closure influence our lives? {{ME-By|U3221734}} # [[/Exercise gamification motivation/]] - How can gamification affect exercise motivation and behaviour? {{ME-By|User Name}} # [[/Expectancy–value theory of educational motivation/]] - What is expectancy–value theory and how can it be applied to understand and enhance educational motivation? {{ME-By|StudentUC2026}} # [[/Extended process model of emotion regulation/]] – What is the extended process model and how does it explain how people regulate emotions? {{ME-By|User Name}} # [[/Feedback literacy/]] - What is feedback literacy, why does it matter, and how can it be developed? {{ME-By|User Name}} # [[/Fogg behaviour model/]] - How can the FBM be applied to understanding and changing behaviour? {{ME-By|User Name}} # [[/Functional motives theory and environmental activism/]] - How does functional motives theory explain the motivations behind environmental activism? {{ME-By|User Name}} # [[/Future orientation and criminal behaviour/]] - How does future orientation influence the risk of criminal activity? {{ME-By|U3275899}} # [[/Game of dice task and decision-making/]] - What does the game of dice task reveal about risk-based decision-making? {{ME-By|User Name}} # [[/Gender and achievement motivation/]] - How does gender shape where, how, and under what conditions achievement motivation is expressed? {{ME-By|U3242837}} # [[/Generativity/]] - What is generativity and how does it impact behaviour and life outcomes? {{ME-By|User Name}} # [[/Getting started/]] - Why is task initiation difficult and how to overcome it? {{ME-By|User Name}} # [[/Goal striving dynamics/]] - What is the role of pushing and coasting in goal striving? {{ME-By|User Name}} # [[/Hygiene motivation/]] - What motivates maintenance of personal hygiene? {{ME-By|User Name}} # [[/Hypothalamus and homeostatic motivation/]] - How do hypothalamic circuits regulate hunger, thirst, and other survival-related motivations? {{ME-By|User Name}} # [[/Impulsivity versus sensation-seeking/]] - What is the distinction between impulsivity and sensation-seeking and how does this affect behaviour? {{ME-By|User Name}} # [[/Indigenous Australian role models and motivation/]] - How do role models influence aspirations, identity development, and motivation among Indigenous Australians? {{ME-By|User Name}} # [[/Interrogation and compliance/]] - What psychological processes influence resistance and compliance during interrogation? {{ME-By|User Name}} # [[/Investment model of commitment and social motivation/]] - How does the investment model of commitment relate to social motivation? {{ME-By|User Name}} # [[/Lifelong learning motivation/]] - What motivates lifelong learning? {{ME-By|U3280251}} # [[/Machiavellian motivation/]] - What is the motivational role of Machiavellianism? {{ME-By|User Name}} # [[/Mesolimbic pathway and addiction motivation/]] - What role does the ventral tegmental area to nucleus accumbens pathway play in addictive behaviours? {{ME-By|User Name}} # [[/Metacognitive monitoring and productivity/]] - How does metacognitive monitoring influence goal attainment and productivity? {{ME-By|User Name}} # [[/Mindsets and stigma/]] - What role do growth versus fixed mindsets play in prejudice and stigma? {{ME-By|User Name}} # [[/Motivations for using sex work services/]] - What motivates use of sex work services? {{ME-By|User Name}} # [[/Motivating virtual teams/]] – How can motivation in virtual teams be optimised? {{ME-By|User Name}} # [[/Motivational effects of incarceration on Indigenous Australians/]] - What are the motivational effects of incarcertation on Indigenous Australians?{{ME-By|U3183521}} # [[/Need to love and be loved/]] - How does the desire to give and receive love influence motivation? {{ME-By|User Name}} # [[/Non-residential energy conservation motivation/]] - How can non-residential building energy conservation be motivated and behaviour changed? {{ME-By|User Name}} # [[/Occupational violence, emotion, and coping/]] - What are the emotional impacts of occupational violence and how can employees cope? {{ME-By|User Name}} # [[/Overconfidence in decision-making/]] - How does overconfidence bias affect judgement and decision-making? {{ME-By|User Name}} # [[/Parental educational aspirations and student achievement/]] - How do parental aspirations shape children’s academic motivation and performance? {{ME-By|User Name}} # [[/Parental motivations for homeschooling/]] - What motivates parents to homeschool their children? {{ME-By|User Name}} # [[/Perfectionism and procrastination/]] - What is the role of perfectionism in procrastination and what can be done about it? - {{ME-By|U3222012}} # [[/Pleasure anticipation and dopamine/]] - How does the brain's reward system generate motivation through expected rather than experienced pleasure? {{ME-By|User Name}} # [[/Possible selves and goal pursuit/]] - How do possible selves influence motivation and goal-directed behaviour? {{ME-By|User Name}} # [[/Power motivation in leadership/]] - How does power motivation influence leadership styles and effectiveness? {{ME-By|User Name}} # [[/Prevention versus promotion mindset/]] - What are the motivational differences between prevention and promotion mindsets? {{ME-By|User Name}} # [[/Protection motivation theory and environmental behaviour/]] - How does protection motivation theory explain engagement in pro-environmental behaviour? {{ME-By|User Name}} # [[/Relatedness motivation in self-determination theory/]] - How does the need for relatedness function within self-determination theory to shape motivation and behaviour? {{ME-By|User Name}} # [[/Retirement motivation/]] - What motivates retirement from work? {{ME-By|User Name}} # [[/Role-play and communication skills training/]] - How does role-play facilitate the development of effective communication skills? {{ME-By|User Name}} # [[/Scarcity versus abundance mindset/]] - How do scarcity and abundance mindsets develop and what are the motivational consequences? {{ME-By|User Name}} # [[/Self-concept and motivation/]] - How does self-concept relate to motivation? {{ME-By|User Name}} # [[/Self-determination theory and dementia care/]] - How can autonomy, competence, and relatedness be supported in people living with dementia? {{ME-By|User Name}} # [[/Self-determination theory and military veteran reintegration/]] - How do autonomy, competence, and relatedness shape psychological adjustment after military service? {{ME-By|U3246286}} # [[/Self-determination theory and physical activity/]] - How do autonomy, competence, and relatedness predict engagement in physical activity and exercise adherence? {{ME-By|User Name}} # [[/Self-determination theory and social media use/]] - How do basic psychological needs explain patterns of social media engagement? {{ME-By|U3237996}} # [[/Sensation-seeking and dopamine/]] - What is the neurobiological relationship between sensation-seeking and dopamine? {{ME-By|User Name}} # [[/Sex differences in sexual arousal patterns/]] - How do patterns of sexual arousal differ between males and females? {{ME-By|User Name}} # [[/Sex work motivation/]] - What motivates sex work and how does this impact worker experiences? {{ME-By|User Name}} # [[/Social dominance and power motivation/]] - What is the relationship between social dominance and power motivation? {{ME-By|User Name}} # [[/Subcortical structures and motivational drive/]] - How do subcortical brain regions generate basic motivational impulses and energy? {{ME-By|User Name}} # [[/Sun exposure and protection motivation/]] - What motivates sun exposure and protection behaviours? {{ME-By|User Name}} # [[/Surrender motivation/]] - What is the motivational state of surrender and what are its impacts? {{ME-By|User Name}} # [[/The quiet ego and motivation/]] - How does a quiet ego balance self-interest with concern for others? {{ME-By|User Name}} # [[/Thermoregulation and motivation/]] - How does the drive to maintain body temperature influence behaviour? {{ME-By|User Name}} # [[/Tonic-phasic model of dopamine regulation/]] - What is the tonic/phasic model of dopamine regulation and how does affect behaviour? {{ME-By|User Name}} # [[/Types of impulsivity/]] - What are the different types of impulsivity and how do they affect motivation? {{ME-By|User Name}} # [[/Value congruence and motivation/]] - How does alignment between personal and situational values influence motivation? {{ME-By|User Name}} # [[/Volunteer counsellor motivation/]] - What motivates people to become and remain volunteer counsellors? {{ME-By|User Name}} # [[/Windfall gain effect/]] - How doe unexpected wealth influence behaviour and decision-making? {{ME-By|User Name}} # [[/Youth environmental activism motivation/]] - What motivates young people to engage in environmental activism? {{ME-By|User Name}} ==Emotion== # [[/Active versus passive social media use/]] - How do different patterns of social media engagement influence emotions and psychological wellbeing? {{ME-By|User Name}} # [[/Adaptive versus maladaptive self-reflection/]] – When does self-reflection promote wellbeing and when does it contribute to psychological distress? {{ME-By|User Name}} # [[/Affect heuristic/]] - What is the affect heuristic and how does it influence decision making? {{ME-By|User Name}} # [[/Alcohol use for emotion regulation/]] - Why and how do people use alcohol to regulate their emotions? {{ME-By|User Name}} # [[/Apocalyptic fear/]] - What is apocalyptic fear, what are its consequences, and how can it be dealt with? {{ME-By|LazPulch}} # [[/Awe and the diminished self/]] - How does awe diminish the self and how can this be applied? {{ME-By|User Name}} # [[/Awe and nature/]] - What is the relationship between awe and nature? {{ME-By|User Name}} # [[/Biofeedback and emotion regulation/]] - How does biofeedback help individuals monitor and regulate their emotional states? {{ME-By|User Name}} # [[/Body neutrality and emotional well-being/]] - How does a body-neutral perspective affect emotional well-being? {{ME-By|User Name}} # [[/Breathing exercises and relaxation/]] - How can breathing exercises promote relaxation? {{ME-By|User Name}} # [[/Cancer screening and emotion/]] - How do emotions such as fear, anxiety, and relief influence cancer screening uptake? {{ME-By|User Name}} # [[/Cognitive hardiness and stress resilience/]] – How does cognitive hardiness promote resilience to stress and adversity? {{ME-By|User Name}} # [[/Cognitive versus affective empathy/]] - What are the differences between cognitive and affective empathy and how do they contribute to prosociality? {{ME-By|User Name}} # [[/Dark empathy/]] - What is dark empathy, what are its consequences, and what can be done to address it? {{ME-By|U3228742}} # [[/Dreams and emotional problem-solving/]] - How do REM dreams contribute to emotional processing and adaptive coping? {{ME-By|User Name}} # [[/Durability bias in affective forecasting/]] - What role does durability bias play in affective forecasting? {{ME-By|User Name}} # [[/Eco-emotions/]] - What are eco-emotions, how do they influence behaviour, and how can they be managed? {{ME-By|User Name}} # [[/Emotional effects of incarceration on Indigenous Australians/]] - What are the emotional effects of incarcertation on Indigenous Australians?{{ME-By|User Name}} # [[/Emotional expressivity/]] – What is emotional expressivity, why does it matter, and how can it be developed? {{ME-By|User Name}} # [[/Emotional flooding in relationships/]] - Why does emotional flooding occur, how does it affect relationships, and what can be done about it? {{ME-By|User Name}} # [[/Emotional intelligence and emotional wellbeing/]] - How does emotional intelligence affect emotional wellbeing? {{ME-By|User Name}} # [[/Emotional role-playing/]] - How does role-playing influence emotional experience, expression, and regulation? {{ME-By|User Name}} # [[/Emotion detection using artificial intelligence/]] - How can emotion be detected using artificial intelligence? {{ME-By|User Name}} # [[/Emotion dysregulation/]] – What is emotion dysregulation, what are its consequences, and how can it be managed? {{ME-By|U3285438}} # [[/Emotion regulation ability and strategy/]] – How do ability and strategy differ in shaping emotion regulation? {{ME-By|User Name}} # [[/Emotion regulation through exercise/]] - How do people use exercise to regulate their emotional states? {{ME-By|KB3250298}} # [[/Emotions in activism/]] - How do emotions motivate, shape, and sustain activism? {{ME-By|User Name}} # [[/Empathy fatigue and emotional exhaustion/]] - How does sustained empathic engagement contribute to emotional exhaustion? {{ME-By|User Name}} # [[/Enjoyment and learning/]] - How does enjoyment influence learning? {{ME-By|User Name}} # [[/Environmental volunteering and wellbeing/]] - How does participation in environmental volunteering influence volunteers' subjective wellbeing? {{ME-By|User Name}} # [[/Excitement as an emotion/]] - What is the emotional excitement and how does it influence behaviour and wellbeing? {{ME-By|User Name}} # [[/Fear extinction/]] - What psychological and neural processes underlie the extinction of fear responses? {{ME-By|User Name}} # [[/Focalism in affective forecasting/]] - What is focalism and how does it bias predictions about future emotional experiences? {{ME-By|User Name}} # [[/Gloatrage/]] - What is gloatrage, what causes it, and what are its consequences? {{ME-By|User Name}} # [[/Human trust of robots/]] - What psychological factors shape human trust of robots? {{ME-By|User Name}} # [[/Identify exploration through role-playing games/]] - How do role-playing games facilitate identity exploration and self-discovery? {{ME-By|User Name}} # [[/Immersive therapy for PTSD treatment/]] - How does it work and what are the effects? {{ME-By|StretchBeyond}} # [[/Indigenous Australian funeral practices and grieving/]] - How do Indigenous Australian funeral practices assist with grieving? {{ME-By|User Name}} # [[/Interpersonal psychotherapy and emotion/]] - How does interpersonal psychotherapy improve emotional wellbeing through changes in relationships? {{ME-By|User Name}} # [[/Introjection and guilt-based motivation/]] - What role do shame and guilt play in introjected forms of behavioural regulation? {{ME-By|User Name}} # [[/Irritability/]] - What is irritability, what causes it, what are its consequences, and how can it be managed? {{ME-By|User Name}} # [[/Love styles and relationships/]] - How do love styles influence relationship satisfaction and stability? {{ME-By|User Name}} # [[/Melatonin and seasonal mood/]] - What role does melatonin play in seasonal mood changes? {{ME-By|User Name}} # [[/Mental health first aid and helping behaviour/]] - What motivates people to recognise, approach, and support someone with a mental health problem? {{ME-By|User Name}} # [[/Mindfulness and nature connectedness/]] - How does mindfulness influence nature connectedness? {{ME-By|User Name}} # [[/Mood and cognitive performance/]] – How do different mood states impact attention, memory, and problem solving? {{ME-By|User Name}} # [[/Moodiness/]] - What is moodiness, why does it occur, and how can it be managed? {{ME-By|User Name}} # [[/Neurobiology of love/]] - What neural systems and biochemical processes underlie love? {{ME-By|User Name}} # [[/Neurofeedback and emotional regulation/]] - How can neurofeedback influence enhance emotional regulation? {{ME-By|User Name}} # [[/Nitrous oxide and emotion/]] - How does nitrous oxide influence emotional experience and mood? {{ME-By|User Name}} # [[/Noise and emotion/]] - How do different types of noise affect emotional experience and wellbeing? {{ME-By|User Name}} # [[/Opponent process theory and emotion/]] - What role do opposing affective states play in emotional experience? {{ME-By|User Name}} # [[/Outdoor play and children's emotional well-being/]] - How does outdoor play influence children's emotional well-being? {{ME-By|User Name}} # [[/Phubbing and emotion/]] - What are the emotional causes and consequences of phubbing? {{ME-By|User Name}} # [[/Positive emotion dysregulation/]] - What is positive emotion dysregulation and how does it affect psychological functioning? {{ME-By|User Name}} # [[/Psychological preparation for natural disasters/]] - How can people psychologically prepare for natural disasters? {{ME-By|User Name}} # [[/Psychological safety and feedback uptake/]] - How does psychological safety influence openness to feedback? {{ME-By|User Name}} # [[/Reflected glory/]] - What is reflected glory and what are its pros and cons? {{ME-By|User Name}} # [[/Remote work and well-being/]] - How does remote work influence employee well-being? {{ME-By|User Name}} # [[/Responsiveness and interpersonal trust/]] - How does responsiveness foster trust in relationships? {{ME-By|User Name}} # [[/Romantic jealousy/]] - Why does romantic jealousy occur, what are its impacts, and how can it be managed? {{ME-By|User Name}} # [[/Secondary trauma in healthcare workers/]] - What are the emotional consequences of secondary trauma in healthcare settings? {{ME-By|User Name}} # [[/Seasonal affective disorder/]] - What is SAD, why does it occur, and how can it be managed? {{ME-By|User Name}} # [[/Self-blame and emotion/]] – How does self-blame influence emotional responses to negative events? {{ME-By|User Name}} # [[/Self-disclosure and emotional intimacy/]] – How does self-disclosure foster emotional closeness in relationships? {{ME-By|User Name}} # [[/Self-stigma and emotion/]] - How does self-stigma impact emotional well-being? {{ME-By|User Name}} # [[/Social connection and emotion regulation/]] - How do social relationships help people emotions? {{ME-By|User Name}} # [[/Socioemotional selectivity theory and wellbeing in ageing/]] - How do social and emotional experiences affect wellbeing as people age? {{ME-By|User Name}} # [[/Spirituality and resilience/]] - What is the relationship between spirituality and psychological resilience? {{ME-By|User Name}} # [[/Subjective wellbeing homeostasis theory/]] - How does homeostatic theory explain the stability and regulation of subjective wellbeing? {{ME-By|User Name}} # [[/Technology-based pain management/]] - How can technology-based tools alter pain perception and pain management? {{ME-By|User Name}} # [[/Theory of positive disintegration and personal growth/]] - What is the TPD and how can it be applied to personal growth? {{ME-By|User Name}} # [[/Time perception in mood disorders/]] - How do anxiety and depression alter the subjective experience of time? {{ME-By|User Name}} # [[/Trust in artificial intelligence/]] - What psychological factors shape human trust of artificial intelligence systems? {{ME-By|User Name}} # [[/Trust rebuilding after trauma/]] - How can trauma survivors develop trust in similar situations again? {{ME-By|User Name}} # [[/Volunteer wellbeing/]] - How does volunteering affect volunteer's subjective wellbeing? {{ME-By|User Name}} # [[/Wayfinding and affective experience/]] - How do emotions influence navigation and spatial behaviour? {{ME-By|User Name}} ==Motivation and emotion== # [[/Boredom and interest/]] - How do boredom and interest shape emotional and motivational states? {{ME-By|User Name}} # [[/Falling in love/]] - What motivational and emotional processes underlie romantic attraction and falling in love? {{ME-By|User Name}} # [[/Life purpose and well-being/]] - How does a sense of purpose contribute to well-being and how can it be cultivated? {{ME-By|User Name}} # [[/Moral emotions and ethical behaviour/]] - How do moral emotions motivate ethical and prosocial action? {{ME-By|User Name}} # [[/Oxytocin as a neuromodulator/]] - What are the motivational and emotional effects of oxytocin as a neuromodulator? {{ME-By|User Name}} # [[/Reward prediction error/]] - How does discrepancy between expected and actual rewards influence learning, emotion, and motivation? {{ME-By|User Name}} # [[/Reinforcement sensitivity theory/]] – How does reinforcement sensitivity theory explain individual differences in motivation and emotion? {{ME-By|User Name}} # [[/Reward prediction error/]] - How do reward prediction errors influence learning, emotion, and motivation? {{ME-By|User Name}} # [[/Social and emotional well-being in Indigenous Australians/]] - How does the holistic social and emotional well-being model reframe Indigenous Australian health and well-being? {{ME-By|User Name}} # [[/Strengths-based Indigenous Australian psychology/]] - How can strengths-based perspectives enhance understanding of Indigenous motivation and emotion? {{ME-By|User Name}} # [[/Warm-glow giving/]] - Why does giving feel good and how does this influence prosocial behaviour? {{ME-By|User Name}} # [[/Wisdom, motivation, and emotion/]] - How do motivational and emotional processes contribute to wisdom? {{ME-By|User Name}} [[Category:Motivation and emotion/Book/2026]] amq0tbyw7ymd7onvs7xutsc630hdwk8 2 326765 2821130 2820923 2026-08-09T04:57:07Z Dc.samizdat 2856930 /* The 600-cell */ 2821130 wikitext text/x-wiki = Golden chords of the 120-cell = {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|January 2026 - August 2026}} <blockquote>Steinbach discovered the formula for the ratios of diagonal to side in the regular polygons. Fontaine and Hurley extended this result, discovering a formula for the reciprocal of a regular polygon chord derived geometrically from the chord's star polygon. We observe that these findings in plane geometry apply more generally, to polytopes of any dimensionality. Fontaine and Hurley's geometric procedure for finding the reciprocals of the chords of a regular polygon from their star polygons also finds the rotational geodesics of any polytope of any dimensionality.</blockquote> == Introduction == Steinbach discovered the Diagonal Product Formula and the Golden Fields family of ratios of diagonal to side in the regular polygons. He showed how this family extends beyond the pentagon {5} with its well-known golden bisection proportional to 𝜙, finding that the heptagon {7} has an analogous trisection, the nonagon {9} has an analogous quadrasection, and the hendecagon {11} has an analogous pentasection, an extended family of golden proportions with quasiperiodic properties. Kappraff and Adamson extended these findings in plane geometry to a theory of Generalized Fibonacci Sequences, showing that the Golden Fields not only do not end with the hendecagon, they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. They found a relation between the edges of star polygons and dynamical systems in the state of chaos, revealing a connection between chaos theory, number, and rotations in Coxeter Euclidean geometry. Fontaine and Hurley examined Steinbach's finding that the length of each chord of a regular polygon is both the product of two chords and the sum of a set of smaller chords, so that in rotations to add is to multiply. They illustrated Steinbach's sets of additive chords lying parallel to each other in the plane (pointing in the same direction), and by applying Steinbach's formula more generally they found another summation relation of signed parallel chords (pointing in opposite directions) which relates each chord length to its reciprocal, and relates the summation to a distinct star polygon rotation. We examine these remarkable findings (which stem from study of the chords of humble regular polygons) in higher-dimensional spaces, specifically in the chords, polygons and rotations of the [[120-cell]], the largest four-dimensional regular convex polytope. == Visualizing the 120-cell == {| class="wikitable floatright" width="400" |style="vertical-align:top"|[[File:120-cell.gif|200px]]<br>Orthographic projection of the 600-point 120-cell ><math>\{5,3,3\}</math> performing a [[W:SO(4)#Geometry of 4D rotations|simple rotation]].{{Sfn|Hise|2011|loc=File:120-cell.gif|ps=; "Created by Jason Hise with Maya and Macromedia Fireworks. A 3D projection of a 120-cell performing a [[W:SO(4)#Geometry of 4D rotations|simple rotation]]."}} In this simplified rendering only the 120-cell's own edges are shown; its 29 interior chords are not rendered. Therefore even though it is translucent, only its outer surface is visible. The complex interior parts of the 120-cell, all its inscribed 5-cells, 16-cells, 8-cells, 24-cells, 600-cells and its much larger inventory of polyhedra, are completely invisible in this view, as none of their edges are rendered at all. |style="vertical-align:top"|[[File:Ortho solid 016-uniform polychoron p33-t0.png|200px]]<br>Orthographic projection of the 600-point [[W:Great grand stellated 120-cell|great grand stellated 120-cell]] <math>\{\tfrac{5}{2},3,3\}</math>.{{Sfn|Ruen: Great grand stellated 120-cell|2007}} The 120-cell is its convex hull. The projection to the left renders only the 120-cell's shortest chord, its 1200 edges. The projection above also renders only one of the 120-cell's 30 chords, the edges of its 120 inscribed regular 5-cells. The 120-cell itself (the convex hull) is invisible in this view, as its edges are not rendered. |} [[120-cell#Geometry|The 120-cell is the maximally complex regular 4-polytope]], containing inscribed instances of every regular 1-, 2-, 3-, and 4-polytope, except the regular polygons of more than {15} sides. The 120-cell is the convex hull of a regular [[120-cell#Relationships among interior polytopes|compound of each of the 6 regular convex 4-polytopes]]. They are the [[5-cell|5-point (5-cell) 4-simplex]], the [[16-cell|8-point (16-cell) 4-orthoplex]], the [[W:Tesseract|16-point (8-cell) tesseract]], the [[24-cell|24-point (24-cell)]], the [[600-cell|120-point (600-cell)]], and the [[120-cell|600-point (120-cell)]]. The 120-cell is the convex hull of a compound of 120 disjoint regular 5-cells, of 75 disjoint 16-cells, of 25 disjoint 24-cells, and of 5 disjoint 600-cells. The 120-cell contains an even larger inventory of irregular polytopes, created by the intersection of multiple instances of these component regular 4-polytopes. Many are quite unexpected, because they do not occur as components of any regular polytope smaller than the 120-cell. As just one example among the [[120-cell#Concentric hulls|sections of the 120-cell]], there is an irregular 24-point polyhedron with 16 triangle faces and 4 nonagon {9} faces.{{Sfn|Moxness|}} Most renderings of the 120-cell, like the rotating projection here, only illustrate its outer surface, which is a honeycomb of face-bonded dodecahedral cells. Only the objects in its 3-dimensional surface are rendered, namely the 120 dodecahedra, their pentagon faces, and their edges. Although the 120-cell has chords of 30 distinct lengths, in this kind of simplified rendering only the 120-cell's own edges (its shortest chord) are shown. Its 29 interior chords, the edges of objects in the interior of the 120-cell, are not rendered, so interior objects are not visible at all. Visualizing the complete interior of the 600-vertex 120-cell in a single image is impractical because of its complexity. Only four 120-cell edges are incident at each vertex, but [[120-cell#Chords|600 chords (of all 30 lengths)]] are incident at ''each'' vertex. == Compounds in the 120-cell == The 8-point (16-cell), not the 5-point (5-cell) 4-simplex, is the smallest building block; it compounds to every larger regular 4-polytope. The 5-point (5-cell) does compound to the 600-point (120-cell), but it does not fit into any smaller regular 4-polytope. The 8-point (16-cell) compounds by 2 in the 16-point (8-cell), and by 3 in the 24-point (24-cell). The 16-point (8-cell) compounds in the 24-point (24-cell) by 3 non-disjoint instances of itself, with each of the 24 vertices shared by two 16-point (8-cells). The 24-point (24-cell) compounds by 5 disjoint instances of itself in the 120-point (600-cell), and the 120-point (600-cell) compounds by 5 disjoint instances of itself in the 600-point (120-cell). The 24-point (24-cell) also compounds by 5² non-disjoint instances of itself in the 120-point (600-cell); it compounds in 5 disjoint instances of itself, 10 (not 5) different ways. Whichever set of 5 disjoint 24-point (24-cells) are assembled, the resulting 120-point (600-cell) contains 25 distinct 24-point (24-cells), not just 5 (or 10). Consequently 15 disjoint 8-point (16-cells) will construct a 120-point (600-cell), which contains 75 distinct 8-point (16-cells). The 600-point (120-cell) is 5 disjoint 120-point (600-cells), just 2 different ways (not 5 or 10 ways), so it is 10 distinct 120-point (600-cells). Consequently the 8-point (16-cell) compounds by 3 times 5² (75) disjoint instances of itself in the 600-point (120-cell), which contains 3² times 5² (225) distinct instances of the 24-point (24-cell), and 3³ times 5² (675) distinct instances of the 8-point (16-cell). These facts were discovered painstakingly by various researchers, and no one has found a general rule governing subsumption relations among regular polytopes. The reasons for some of their numeric incidence relations are far from obvious. [[W:Pieter Hendrik Schoute|Schoute]] was the first to see that the 120-point (600-cell) is a compound of 5 24-point (24-cells) ''10 different ways'', and after he saw it a hundred years lapsed until Denney, Hooker, Johnson, Robinson, Butler & Claiborne proved his result, and showed why.{{Sfn|Denney, Hooker, Johnson, Robinson, Butler & Claiborne|2020|loc=''The geometry of H4 polytopes''}} So much for the compounds of 16-cells. The 120-cell is also the convex hull of the compound of 120 disjoint regular 5-cells. That stellated compound (without its convex hull of 120-cell edges) is the [[w:Great_grand_stellated_120-cell|great grand stellated 120-cell]] illustrated above, the final regular [[W:Stellation|stellation]] of the 120-cell, and the only [[W:Schläfli-Hess polychoron|regular star 4-polytope]] to have the 120-cell for its convex hull. The edges of the great grand stellated 120-cell are <math>\phi^6</math> as long as those of its 120-cell [[W:List of polyhedral stellations#Stellation process|stellation core]] deep inside. The compound of 120 disjoint 5-point (5-cells) can be seen to be equivalent to the compound of 5 disjoint 120-point (600-cells), as follows. Beginning with a single 120-point (600-cell), expand each vertex into a regular 5-cell, by adding 4 new equidistant vertices, such that the 5 vertices form a regular 5-cell inscribed in the 3-sphere. The 120 5-cells are disjoint, and the 600 vertices form 5 disjoint 120-point (600-cells): a 120-cell. == Thirty distinguished distances == The 30 numbers listed in the table are all-important in Euclidean geometry. A case can be made on symmetry grounds that their squares are the 30 most important numbers between 0 and 4. The 30 rows of the table are the 30 distinct [[120-cell#Geodesic rectangles|chord lengths of the unit-radius 120-cell]], the largest regular convex 4-polytope. Since the 120-cell subsumes all smaller regular polytopes, its 30 chords are the complete chord set of all the regular polytopes that can be constructed in the first four dimensions of Euclidean space, except for regular polygons of more than 15 sides. {| class="wikitable" style="white-space:nowrap;text-align:center" !rowspan=2|<math>c_t</math> !rowspan=2|arc !rowspan=2|<small><math>\left\{\frac{30}{n}\right\}</math></small> !rowspan=2|<math>\left\{p\right\}</math> !rowspan=2|<small><math>m\left\{\frac{k}{d}\right\}</math></small> !rowspan=2|Steinbach roots !colspan=7|Chord lengths of the unit 120-cell |- !colspan=5|unit-radius length <math>c_t</math> !colspan=2|unit-edge length <math>c_t/c_1</math><br>in 120-cell of radius <math>c_8=\sqrt{2}\phi^2</math> |- |<small><math>c_{1,1}</math></small> |<small><math>15.5{}^{\circ}</math></small> |<small><math>\left\{30\right\}</math></small> |<small><math></math></small> |<small><math>\left\{30\right\}</math></small> |<small><math>c_{4,1}-c_{2,1}</math></small> |<small><math>\frac{1}{2} \sqrt{7-3 \sqrt{5}}</math></small> |<small><math>0.270091</math></small> |<small><math>\frac{1}{\sqrt{2} \phi ^2}</math></small> |<small><math>\sqrt{\frac{1}{2 \phi ^4}}</math></small> |<small><math>\sqrt{0.072949}</math></small> |<small><math>1</math></small> |<small><math>1.</math></small> |- |<small><math>c_{2,1}</math></small> |<small><math>25.2{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{2}\right\}</math></small> |<small><math></math></small> |<small><math>2 \left\{15\right\}</math></small> |<small><math>\frac{1}{2} \left(c_{18,1}-c_{4,1}\right)</math></small> |<small><math>\frac{\sqrt{3-\sqrt{5}}}{2}</math></small> |<small><math>0.437016</math></small> |<small><math>\frac{1}{\sqrt{2} \phi }</math></small> |<small><math>\sqrt{\frac{1}{2 \phi ^2}}</math></small> |<small><math>\sqrt{0.190983}</math></small> |<small><math>\phi </math></small> |<small><math>1.61803</math></small> |- |<small><math>c_{3,1}</math></small> |<small><math>36{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{3}\right\}</math></small> |<small><math>\left\{10\right\}</math></small> |<small><math>3 \left\{\frac{10}{3}\right\}</math></small> |<small><math>\frac{1}{2} \left(\sqrt{5}-1\right) c_{8,1}</math></small> |<small><math>\frac{1}{2} \left(\sqrt{5}-1\right)</math></small> |<small><math>0.618034</math></small> |<small><math>\frac{1}{\phi }</math></small> |<small><math>\sqrt{\frac{1}{\phi ^2}}</math></small> |<small><math>\sqrt{0.381966}</math></small> |<small><math>\sqrt{2} \phi </math></small> |<small><math>2.28825</math></small> |- |<small><math>c_{4,1}</math></small> |<small><math>41.4{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{60}{7}\right\}</math></small> |<small><math>\frac{c_{8,1}}{\sqrt{2}}</math></small> |<small><math>\frac{1}{\sqrt{2}}</math></small> |<small><math>0.707107</math></small> |<small><math>\frac{1}{\sqrt{2}}</math></small> |<small><math>\sqrt{\frac{1}{2}}</math></small> |<small><math>\sqrt{0.5}</math></small> |<small><math>\phi ^2</math></small> |<small><math>2.61803</math></small> |- |<small><math>c_{5,1}</math></small> |<small><math>44.5{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{4}\right\}</math></small> |<small><math></math></small> |<small><math>2 \left\{\frac{15}{2}\right\}</math></small> |<small><math>\sqrt{3} c_{2,1}</math></small> |<small><math>\frac{1}{2} \sqrt{9-3 \sqrt{5}}</math></small> |<small><math>0.756934</math></small> |<small><math>\frac{\sqrt{\frac{3}{2}}}{\phi }</math></small> |<small><math>\sqrt{\frac{3}{2 \phi ^2}}</math></small> |<small><math>\sqrt{0.572949}</math></small> |<small><math>\sqrt{3} \phi </math></small> |<small><math>2.80252</math></small> |- |<small><math>c_{6,1}</math></small> |<small><math>49.1{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{120}{17}\right\}</math></small> |<small><math>\frac{1}{2} \sqrt{5-\sqrt{5}} c_{8,1}</math></small> |<small><math>\frac{\sqrt{5-\sqrt{5}}}{2}</math></small> |<small><math>0.831254</math></small> |<small><math>\frac{\sqrt[4]{5} \sqrt{\frac{1}{\phi }}}{\sqrt{2}}</math></small> |<small><math>\sqrt{\frac{\sqrt{5}}{2 \phi }}</math></small> |<small><math>\sqrt{0.690983}</math></small> |<small><math>\sqrt[4]{5} \sqrt{\phi ^3}</math></small> |<small><math>3.07768</math></small> |- |<small><math>c_{7,1}</math></small> |<small><math>56.0{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{20}{3}\right\}</math></small> |<small><math>\sqrt{\frac{3}{2}-\frac{1}{\phi }} c_{8,1}</math></small> |<small><math>\sqrt{\frac{3}{2}-\frac{2}{1+\sqrt{5}}}</math></small> |<small><math>0.93913</math></small> |<small><math>\frac{\sqrt{\frac{\psi }{\phi }}}{\sqrt{2}}</math></small> |<small><math>\sqrt{\frac{\psi }{2 \phi }}</math></small> |<small><math>\sqrt{0.881966}</math></small> |<small><math>\sqrt{\psi \phi ^3}</math></small> |<small><math>3.47709</math></small> |- |<small><math>c_{8,1}</math></small> |<small><math>60{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{5}\right\}</math></small> |<small><math>\left\{6\right\}</math></small> |<small><math>\left\{6\right\}</math></small> |<small><math>1</math></small> |<small><math>1</math></small> |<small><math>1.</math></small> |<small><math>1</math></small> |<small><math>\sqrt{1}</math></small> |<small><math>\sqrt{1.}</math></small> |<small><math>\sqrt{2} \phi ^2</math></small> |<small><math>3.70246</math></small> |- |<small><math>c_{9,1}</math></small> |<small><math>66.1{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{40}{7}\right\}</math></small> |<small><math>\sqrt{\frac{3}{2}-\frac{1}{2 \phi }} c_{8,1}</math></small> |<small><math>\sqrt{\frac{3}{2}-\frac{1}{1+\sqrt{5}}}</math></small> |<small><math>1.09132</math></small> |<small><math>\frac{\sqrt{\frac{\chi }{\phi }}}{\sqrt{2}}</math></small> |<small><math>\sqrt{\frac{\chi }{2 \phi }}</math></small> |<small><math>\sqrt{1.19098}</math></small> |<small><math>\sqrt{\chi \phi ^3}</math></small> |<small><math>4.04057</math></small> |- |<small><math>c_{10,1}</math></small> |<small><math>69.8{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{60}{11}\right\}</math></small> |<small><math>\phi c_{4,1}</math></small> |<small><math>\frac{1+\sqrt{5}}{2 \sqrt{2}}</math></small> |<small><math>1.14412</math></small> |<small><math>\frac{\phi }{\sqrt{2}}</math></small> |<small><math>\sqrt{\frac{\phi ^2}{2}}</math></small> |<small><math>\sqrt{1.30902}</math></small> |<small><math>\phi ^3</math></small> |<small><math>4.23607</math></small> |- |<small><math>c_{11,1}</math></small> |<small><math>72{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{6}\right\}</math></small> |<small><math>\left\{5\right\}</math></small> |<small><math>\left\{5\right\}</math></small> |<small><math>\sqrt[4]{5} \sqrt{\frac{1}{\phi }} c_{8,1}</math></small> |<small><math>\sqrt[4]{5} \sqrt{\frac{2}{1+\sqrt{5}}}</math></small> |<small><math>1.17557</math></small> |<small><math>\sqrt{3-\phi }</math></small> |<small><math>\sqrt{3-\phi }</math></small> |<small><math>\sqrt{1.38197}</math></small> |<small><math>\sqrt{2} \sqrt{3-\phi } \phi ^2</math></small> |<small><math>4.3525</math></small> |- |<small><math>c_{12,1}</math></small> |<small><math>75.5{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{24}{5}\right\}</math></small> |<small><math>\sqrt{\frac{3}{2}} c_{8,1}</math></small> |<small><math>\sqrt{\frac{3}{2}}</math></small> |<small><math>1.22474</math></small> |<small><math>\sqrt{\frac{3}{2}}</math></small> |<small><math>\sqrt{\frac{3}{2}}</math></small> |<small><math>\sqrt{1.5}</math></small> |<small><math>\sqrt{3} \phi ^2</math></small> |<small><math>4.53457</math></small> |- |<small><math>c_{13,1}</math></small> |<small><math>81.1{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{60}{13}\right\}</math></small> |<small><math>\frac{1}{2} \sqrt{9-\sqrt{5}} c_{8,1}</math></small> |<small><math>\frac{\sqrt{9-\sqrt{5}}}{2}</math></small> |<small><math>1.30038</math></small> |<small><math>\frac{\sqrt{9-\sqrt{5}}}{2}</math></small> |<small><math>\sqrt{\frac{1}{4} \left(9-\sqrt{5}\right)}</math></small> |<small><math>\sqrt{1.69098}</math></small> |<small><math>\sqrt{\frac{1}{2} \left(9-\sqrt{5}\right)} \phi ^2</math></small> |<small><math>4.8146</math></small> |- |<small><math>c_{14,1}</math></small> |<small><math>84.5{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{40}{9}\right\}</math></small> |<small><math>\frac{\sqrt[4]{5} \sqrt{\phi } c_{8,1}}{\sqrt{2}}</math></small> |<small><math>\frac{1}{2} \sqrt[4]{5} \sqrt{1+\sqrt{5}}</math></small> |<small><math>1.345</math></small> |<small><math>\frac{\sqrt[4]{5} \sqrt{\phi }}{\sqrt{2}}</math></small> |<small><math>\sqrt{\frac{\sqrt{5} \phi }{2}}</math></small> |<small><math>\sqrt{1.80902}</math></small> |<small><math>\sqrt[4]{5} \sqrt{\phi ^5}</math></small> |<small><math>4.9798</math></small> |- |<small><math>c_{15,1}</math></small> |<small><math>90.0{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{7}\right\}</math></small> |<small><math>\left\{4\right\}</math></small> |<small><math>\left\{4\right\}</math></small> |<small><math>2 c_{4,1}</math></small> |<small><math>\sqrt{2}</math></small> |<small><math>1.41421</math></small> |<small><math>\sqrt{2}</math></small> |<small><math>\sqrt{2}</math></small> |<small><math>\sqrt{2.}</math></small> |<small><math>2 \phi ^2</math></small> |<small><math>5.23607</math></small> |- |<small><math>c_{16,1}</math></small> |<small><math>95.5{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{120}{29}\right\}</math></small> |<small><math>\frac{1}{2} \sqrt{11-\sqrt{5}} c_{8,1}</math></small> |<small><math>\frac{\sqrt{11-\sqrt{5}}}{2}</math></small> |<small><math>1.4802</math></small> |<small><math>\frac{\sqrt{11-\sqrt{5}}}{2}</math></small> |<small><math>\sqrt{\frac{1}{4} \left(11-\sqrt{5}\right)}</math></small> |<small><math>\sqrt{2.19098}</math></small> |<small><math>\sqrt{\frac{1}{2} \left(11-\sqrt{5}\right)} \phi ^2</math></small> |<small><math>5.48037</math></small> |- |<small><math>c_{17,1}</math></small> |<small><math>98.9{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{120}{31}\right\}</math></small> |<small><math>\frac{1}{2} \sqrt{7+\sqrt{5}} c_{8,1}</math></small> |<small><math>\frac{\sqrt{7+\sqrt{5}}}{2}</math></small> |<small><math>1.51954</math></small> |<small><math>\frac{\sqrt{7+\sqrt{5}}}{2}</math></small> |<small><math>\sqrt{\frac{1}{4} \left(7+\sqrt{5}\right)}</math></small> |<small><math>\sqrt{2.30902}</math></small> |<small><math>\sqrt{\psi \phi ^5}</math></small> |<small><math>5.62605</math></small> |- |<small><math>c_{18,1}</math></small> |<small><math>104.5{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{8}\right\}</math></small> |<small><math></math></small> |<small><math>\left\{\frac{15}{4}\right\}</math></small> |<small><math>\sqrt{\frac{5}{2}} c_{8,1}</math></small> |<small><math>\sqrt{\frac{5}{2}}</math></small> |<small><math>1.58114</math></small> |<small><math>\sqrt{\frac{5}{2}}</math></small> |<small><math>\sqrt{\frac{5}{2}}</math></small> |<small><math>\sqrt{2.5}</math></small> |<small><math>\sqrt{5} \sqrt{\phi ^4}</math></small> |<small><math>5.8541</math></small> |- |<small><math>c_{19,1}</math></small> |<small><math>108.0{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{9}\right\}</math></small> |<small><math></math></small> |<small><math>\left\{\frac{10}{3}\right\}</math></small> |<small><math>c_{3,1}+c_{8,1}</math></small> |<small><math>\frac{1}{2} \left(1+\sqrt{5}\right)</math></small> |<small><math>1.61803</math></small> |<small><math>\phi </math></small> |<small><math>\sqrt{1+\phi }</math></small> |<small><math>\sqrt{2.61803}</math></small> |<small><math>\sqrt{2} \phi ^3</math></small> |<small><math>5.9907</math></small> |- |<small><math>c_{20,1}</math></small> |<small><math>110.2{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{120}{7}\right\}</math></small> |<small><math>\frac{1}{2} \sqrt{13-\sqrt{5}} c_{8,1}</math></small> |<small><math>\frac{\sqrt{13-\sqrt{5}}}{2}</math></small> |<small><math>1.64042</math></small> |<small><math>\frac{\sqrt{13-\sqrt{5}}}{2}</math></small> |<small><math>\sqrt{\frac{1}{4} \left(13-\sqrt{5}\right)}</math></small> |<small><math>\sqrt{2.69098}</math></small> |<small><math>\phi ^2 \sqrt{8-\phi ^2}</math></small> |<small><math>6.07359</math></small> |- |<small><math>c_{21,1}</math></small> |<small><math>113.9{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{60}{19}\right\}</math></small> |<small><math>\sqrt{\frac{5}{2}+\frac{1}{1+\sqrt{5}}} c_{8,1}</math></small> |<small><math>\sqrt{\frac{5}{2}+\frac{1}{1+\sqrt{5}}}</math></small> |<small><math>1.67601</math></small> |<small><math>\sqrt{\frac{5}{2}+\frac{1}{1+\sqrt{5}}}</math></small> |<small><math>\sqrt{\frac{5}{2}+\frac{1}{1+\sqrt{5}}}</math></small> |<small><math>\sqrt{2.80902}</math></small> |<small><math>\phi ^2 \sqrt{8-\frac{\chi }{\phi }}</math></small> |<small><math>6.20537</math></small> |- |<small><math>c_{22,1}</math></small> |<small><math>120{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{10}\right\}</math></small> |<small><math>\left\{3\right\}</math></small> |<small><math>\left\{3\right\}</math></small> |<small><math>\sqrt{3} c_{8,1}</math></small> |<small><math>\sqrt{3}</math></small> |<small><math>1.73205</math></small> |<small><math>\sqrt{3}</math></small> |<small><math>\sqrt{3}</math></small> |<small><math>\sqrt{3.}</math></small> |<small><math>\sqrt{6} \phi ^2</math></small> |<small><math>6.41285</math></small> |- |<small><math>c_{23,1}</math></small> |<small><math>124.0{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{120}{41}\right\}</math></small> |<small><math>\sqrt{\frac{1}{\phi }+\frac{5}{2}} c_{8,1}</math></small> |<small><math>\sqrt{\frac{5}{2}+\frac{2}{1+\sqrt{5}}}</math></small> |<small><math>1.7658</math></small> |<small><math>\sqrt{4-\frac{\psi }{2 \phi }}</math></small> |<small><math>\sqrt{4-\frac{\psi }{2 \phi }}</math></small> |<small><math>\sqrt{3.11803}</math></small> |<small><math>\sqrt{\chi \phi ^5}</math></small> |<small><math>6.53779</math></small> |- |<small><math>c_{24,1}</math></small> |<small><math>130.9{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{20}{7}\right\}</math></small> |<small><math>\frac{1}{2} \sqrt{11+\sqrt{5}} c_{8,1}</math></small> |<small><math>\frac{\sqrt{11+\sqrt{5}}}{2}</math></small> |<small><math>1.81907</math></small> |<small><math>\frac{\sqrt{11+\sqrt{5}}}{2}</math></small> |<small><math>\sqrt{\frac{1}{4} \left(11+\sqrt{5}\right)}</math></small> |<small><math>\sqrt{3.30902}</math></small> |<small><math>\phi ^2 \sqrt{8-\frac{\sqrt{5}}{\phi }}</math></small> |<small><math>6.73503</math></small> |- |<small><math>c_{25,1}</math></small> |<small><math>135.5{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{11}\right\}</math></small> |<small><math></math></small> |<small><math>\left\{\frac{30}{11}\right\}</math></small> |<small><math>\frac{1}{2} \sqrt{7+3 \sqrt{5}} c_{8,1}</math></small> |<small><math>\frac{1}{2} \sqrt{7+3 \sqrt{5}}</math></small> |<small><math>1.85123</math></small> |<small><math>\frac{\phi ^2}{\sqrt{2}}</math></small> |<small><math>\sqrt{\frac{\phi ^4}{2}}</math></small> |<small><math>\sqrt{3.42705}</math></small> |<small><math>\phi ^4</math></small> |<small><math>6.8541</math></small> |- |<small><math>c_{26,1}</math></small> |<small><math>138.6{}^{\circ}</math></small> |<small><math></math></small> |<small><math></math></small> |<small><math>\left\{\frac{12}{5}\right\}</math></small> |<small><math>\sqrt{\frac{7}{2}} c_{8,1}</math></small> |<small><math>\sqrt{\frac{7}{2}}</math></small> |<small><math>1.87083</math></small> |<small><math>\sqrt{\frac{7}{2}}</math></small> |<small><math>\sqrt{\frac{7}{2}}</math></small> |<small><math>\sqrt{3.5}</math></small> |<small><math>\sqrt{7} \phi ^2</math></small> |<small><math>6.92667</math></small> |- |<small><math>c_{27,1}</math></small> |<small><math>144{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{12}\right\}</math></small> |<small><math></math></small> |<small><math>\left\{\frac{5}{2}\right\}</math></small> |<small><math>\sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} c_{8,1}</math></small> |<small><math>\sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)}</math></small> |<small><math>1.90211</math></small> |<small><math>\sqrt{\phi +2}</math></small> |<small><math>\sqrt{2+\phi }</math></small> |<small><math>\sqrt{3.61803}</math></small> |<small><math>\phi ^2 \sqrt{2 \phi +4}</math></small> |<small><math>7.0425</math></small> |- |<small><math>c_{28,1}</math></small> |<small><math>154.8{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{13}\right\}</math></small> |<small><math></math></small> |<small><math>\left\{\frac{30}{13}\right\}</math></small> |<small><math>\frac{1}{2} \sqrt{13+\sqrt{5}} c_{8,1}</math></small> |<small><math>\frac{\sqrt{13+\sqrt{5}}}{2}</math></small> |<small><math>1.95167</math></small> |<small><math>\frac{\sqrt{13+\sqrt{5}}}{2}</math></small> |<small><math>\sqrt{\frac{1}{4} \left(13+\sqrt{5}\right)}</math></small> |<small><math>\sqrt{3.80902}</math></small> |<small><math>\phi ^2 \sqrt{8-\frac{1}{\phi ^2}}</math></small> |<small><math>7.22598</math></small> |- |<small><math>c_{29,1}</math></small> |<small><math>164.5{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{14}\right\}</math></small> |<small><math></math></small> |<small><math>\left\{\frac{15}{7}\right\}</math></small> |<small><math>\phi c_{12,1}</math></small> |<small><math>\frac{1}{2} \sqrt{\frac{3}{2}} \left(1+\sqrt{5}\right)</math></small> |<small><math>1.98168</math></small> |<small><math>\sqrt{\frac{3}{2}} \phi </math></small> |<small><math>\sqrt{\frac{3 \phi ^2}{2}}</math></small> |<small><math>\sqrt{3.92705}</math></small> |<small><math>\sqrt{3} \phi ^3</math></small> |<small><math>7.33708</math></small> |- |<small><math>c_{30,1}</math></small> |<small><math>180{}^{\circ}</math></small> |<small><math>\left\{\frac{30}{15}\right\}</math></small> |<small><math>\left\{2\right\}</math></small> |<small><math>\left\{2\right\}</math></small> |<small><math>2 c_{8,1}</math></small> |<small><math>2</math></small> |<small><math>2.</math></small> |<small><math>2</math></small> |<small><math>\sqrt{4}</math></small> |<small><math>\sqrt{4.}</math></small> |<small><math>2 \sqrt{2} \phi ^2</math></small> |<small><math>7.40492</math></small> |- |rowspan=4 colspan=6| |rowspan=4 colspan=4| <small><math>\phi</math></small> is the golden ratio:<br> <small><math>\phi ^2-\phi -1=0</math></small><br> <small><math>\frac{1}{\phi }+1=\phi</math></small>, and: <small><math>\phi+1=\phi^2</math></small><br> <small><math>\frac{1}{\phi }::1::\phi ::\phi ^2</math></small><br> <small><math>1/\phi</math></small> and <small><math>\phi</math></small> are the golden sections of <small><math>\sqrt{5}</math></small>:<br> <small><math>\phi +\frac{1}{\phi }=\sqrt{5}</math></small> |colspan=2|<small><math>\phi = (\sqrt{5} + 1)/2</math></small> |<small><math>1.618034</math></small> |- |colspan=2|<small><math>\chi = (3\sqrt{5} + 1)/2</math></small> |<small><math>3.854102</math></small> |- |colspan=2|<math>\psi = (3\sqrt{5} - 1)/2</math> |<math>2.854102</math> |- |colspan=2|<math>\psi = 11/\chi = 22/(3\sqrt{5} + 1)</math> |<math>2.854102</math> |} == The 16-cell 4-orthoplex == In 2-space we have the regular 8-point octagon, in 3-space the regular 8-point cube, and in 4-space the regular 8-point [[16-cell]]. A planar octagon with rigid edges of unit length has chords of length: :<math>r_1=1,r_2=\sqrt{2+\sqrt{2}} \approx 1.848,r_3=\sqrt{2}+1 \approx 2.414,r_4=\sqrt{4 + \sqrt{8}} \approx 2.613</math> The chord ratio <math>r_3=\sqrt{2}+1</math> is a geometrical proportion, the [[W:Silver ratio|silver ratio]]. Fontaine and Hurley's procedure for obtaining the reciprocal of a chord tells us that: :<math>r_3-r_1-r_1=1/r_3 \approx 0.414</math> Note that <math>r_3-2=1/r_3=\sqrt{2}-1</math>. Their procedure rotates counterclockwise over three <math>r_3</math> chords of an {8/3} octagram. Over the first <math>r_3</math> chord the displacement is <math>\sqrt{2}+1</math>. Over the second <math>r_3</math> chord it moves in the opposite direction a distance of <math>-1</math> . Over the third <math>r_3</math> chord it also moves a distance of <math>-1</math>. Fontaine and Hurley also demonstrated the significance of <math>1/r_i</math> in Steinbach's Diagonal Product Formula, which says that every chord length is the sum of certain smaller chord lengths. The smaller chords are certain diagonals of the same regular polygon of a smaller edge length, specifically edge length <math>1/r_i</math> rather than <math>1</math>. If we embed the planar octagon in 3-space, we can make it skew, repositioning its vertices so that each is one unit-edge length distant from three others instead of two others, at the vertices of a unit-edge cube with chords of length: :<math>r_1=1, r_2=\sqrt{2}, r_3=\sqrt{3}, r_4=\sqrt{2}</math> If we embed this cube in 4-space, we can skew it some more, repositioning its vertices so that each is one unit-edge length distant from six others instead of three others, at the vertices of a unit-edge 4-polytope with chords of length: :<math>r_1=1,r_2=1,r_3=1,r_4=\sqrt{2}</math> All of its chords except its long diameters are the same unit length as its edge. In fact they are its 24 edges, and it is a 16-cell of radius <math>1/\sqrt{2}</math>. [[File:octagon16cell.png|thumb|Orthogonal projection of a regular 16-cell to the [[16-cell#Projections|B₄ Coxeter plane]]. Only its edges are shown; its long diameter chords are not drawn. All 24 edges are the same length and none lie parallel to the projection plane. The octagon circumference is a Petrie polygon. The two disjoint squares lie in completely orthogonal central planes. The blue octagram is a Clifford polygon. ]] The [[16-cell]] is the [[W:Regular convex 4-polytope|regular convex 4-polytope]] with [[W:Schläfli symbol|Schläfli symbol]] <math>\{3,3,4\}</math>. It has 8 vertices, 24 edges, 32 equilateral triangle faces, and 16 regular tetrahedron cells. It is the [[16-cell#Octahedral dipyramid|four-dimensional analogue of the octahedron]], and each of its four orthogonal central hyperplanes is an octahedron. The only planar regular polygons found in the 16-cell are face triangles and central plane squares, but the 16-cell also contains a skew regular octagon, its [[W:Petrie polygon|Petrie polygon]].{{Efn|name=Petrie polygon of a honeycomb}} The chords of this regular octagon, which lies skew in 4-space, are those given above for the 16-cell, as opposed to those for the cube or the regular octagon in the plane. The 16-cell is a construct of 3 Petrie octagons which share the same 8 vertices but have disjoint sets of 8 edges each. The regular octad has higher symmetry in 4-space than it does in 2-space. The 16-cell is the 4-[[w:Cross-polytope|orthoplex]], the simplest regular 4-polytope after the [[5-cell|4-simplex]]. All the larger regular convex 4-polytopes are compounds of the 16-cell. The regular octagon exhibits this high symmetry only when embedded in 4-space at the vertices of the 16-cell. The 16-cell constitutes an [[W:Orthonormal basis|orthonormal basis]] for the choice of a 4-dimensional Cartesian reference frame, because its vertices define four orthogonal axes. The eight vertices of a unit-radius 16-cell are (±1, 0, 0, 0), (0, ±1, 0, 0), (0, 0, ±1, 0), (0, 0, 0, ±1). All vertices are connected by <math>\sqrt{2}</math> edges except opposite pairs. The vertex coordinates of the 16-cell form 6 central squares lying in 6 pairwise [[W:Orthogonal|orthogonal]] coordinate planes. Great squares in opposite planes that do not share an axis (e.g. in the ''xy'' and ''wz'' planes) are completely disjoint (they do not intersect at any vertices). These planes are [[W:Completely orthogonal|completely orthogonal]].{{Efn|name=Six orthogonal planes of the Cartesian basis}} Since the unit-radius coordinate system is convenient, let us derive the unit-radius 16-cell by skewing a unit-radius planar octagon, which has chords of length: :<math>r_1=\sqrt{2-\sqrt{2}} \approx 0.765,r_2=\sqrt{2},r_3=\sqrt{2+\sqrt{2}} \approx 1.848,r_4=2</math> We will need a planar octagon with rigid <math>r_2</math> chords, rather than one with rigid <math>r_1</math> edges. The octagon's <math>r_2</math> chords form two disjoint great squares, visible in the orthogonal projection, which we can reposition in 3-space to form a cube by making them parallel, and in 4-space to form a 16-cell by making them completely orthogonal. Each chord is a distinct 4-vector with a length and a direction. Since the edges of the 16-cell are all the same length <math>r_1=\sqrt{2},r_2=\sqrt{2},r_3=\sqrt{2}</math>, those chords are distinct only in the context of a rotation, where vertices circle over the chords of an <math>r_i</math> polygon. The rotational curve over each <math>r_i</math> chord makes <math>i</math> 45° turns. The angle between two <math>r_i</math> chords is <math>180^\circ - i \times 45^\circ</math>. [[File:16-cell-orig.gif|thumb|Orthographic projection of the 8-point 16-cell <math>\{3,3,4\}</math> performing a double rotation.{{Sfn|Hise|2007}}]] [[W:Rotations in 4-dimensional Euclidean space|Rotations in 4-dimensional Euclidean space]] can be seen as the composition of two 2-dimensional rotations in completely orthogonal planes. The general rotation in 4-space is a [[W:SO(4)#Double rotations|double rotation]] in pairs of completely orthogonal planes. Two completely orthogonal planes are called invariant planes of the rotation when all points in the plane rotate on circles that remain in the plane, even as the whole plane tilts sideways (like a coin flipping) into another plane. The two completely orthogonal rotations of each plane (like a wheel, and like a coin flipping) are simultaneous but independent, in that they are not geometrically constrained to turn at the same rate. However, the most circular kind of rotation (as opposed to an elliptical double rotation of a rigid spherical object) occurs when the completely orthogonal planes do rotate through the same angle in the same time interval. Such equi-angled double rotations are called [[w:SO(4)#Isoclinic_rotations|isoclinic]], also [[w:William_Kingdon_Clifford|Clifford]] displacements. The <math>r_1</math> chords of the 16-cell form a Petrie polygon {8/1} which zig-zags back and forth, in the left and right rotational directions, between two completely orthogonal great squares formed by <math>r_2</math> chords. The <math>r_2</math> chords of the 16-cell form an ''edge polygon'' {8/2}=2{4}. The two completely orthogonal great squares lie parallel ''and'' perpendicular to each other. A ''simple'' rotation of the 16-cell in ''one'' of those two square central planes rotates that square like a wheel, while the other square does not move.{{Efn|name=simple rotations}} The four vertices of the rotating square orbit on a great circle in the plane. The <math>r_3</math> chords of the 16-cell form a circular helix, visible as a blue {8/3} octagram in the orthogonal projection. A ''double'' rotation of the 16-cell, in both of two completely orthogonal invariant <math>r_2</math> square planes at once by equal angles, moves the eight vertices along the circular helix over <math>r_3</math> chords. The vertex motion is a [[w:Geodesic|geodesic]] circle orbit on the 3-sphere of a special kind: it does not lie in a central plane, its [[w:Winding_number|winding number]] is not 1 (it is 3 in this case), its circumference is not <math>2\pi</math> (it is <math>6\pi</math> in this case), and it moves in either a left or right handed circular spiral. We shall refer to such a chiral circle orbit as an ''isocline'', and to the skew polygram of its rotational chords as a ''Clifford polygon''. The 16-cell is the simplest possible frame in which to [[16-cell#Rotations|observe 4-dimensional rotations]] because its characteristic rotations feature a single pair of invariant rotation planes. In the 16-cell an isoclinic rotation by 90° in any pair of invariant completely orthogonal square central planes takes every great square to its completely orthogonal great square in a twisting displacement, as the invariant planes tilt sideways 90° into each other's plane while rotating 90° internally. All the vertices move at once along the same circular helix geodesic isocline of <math>r_3</math> chords, displaced 90° in 8 orthogonal directions, and the rigid 16-cell assumes a new orientation in 4-space. When the 90° isoclinic rotation is continued in the same rotational direction through an additional 90°, each vertex is again displaced 90°, but from the new orientation in a direction orthogonal to its first 90° displacement. The rotational curve over each 90° <math>r_3</math> chord makes three 45° turns. In 360° of isoclinic rotation over four <math>r_3</math> chords, each vertex makes twelve 45° turns and reaches its antipodal position. The trajectory of each vertex over each 90° isoclinic rotational displacement is a one-eighth segment of its geodesic orbit. Its entire orbit traces an isocline circle in 4-space of circumference <math>6\pi</math> over eight <math>r_3</math> chords, and also traces an ordinary great circle in the plane twice, over the four <math>r_2</math> edges of a great square in one of the two moving invariant rotation planes. In the course of a 720° isoclinic revolution each vertex departs from all 8 vertex positions just once and returns to its original position, and the 16-cell returns to its original orientation. We shall refer to this isoclinic rotation as the ''great square rotation characteristic of the 16-cell'', and note once again that it is Fontaine and Hurley's counterclockwise rotation over the <math>r_3</math> {8/3} star polygon, which constructs <math>1/r_3</math>. == The 8-cell tesseract == The long diameter of the unit-edge [[W:Hypercube|hypercube]] of dimension <math>n</math> is <math>\sqrt{n}</math>, so the unit-edge [[w:Tesseract|4-hypercube, the 16-point (8-cell) tesseract,]] has chords: :<math>r_1=\sqrt{1},r_2=\sqrt{2},r_3=\sqrt{3},r_4=\sqrt{4}</math> Uniquely in its 4-dimensional case, a hypercube's edge length equals its radius, like the hexagon. We call such polytopes ''radially equilateral'', because they can be constructed from equilateral triangles which meet at their center, each contributing two radii and an edge. The [[w:Cuboctahedron|cuboctahedron]] and the 24-cell are also radially equilateral. [[File:8-cell.gif|thumb|Orthographic projection of the 16-point (8-cell) tesseract <math>\{4,3,3\}</math> performing a simple rotation about a plane in 4-space.{{Sfn|Hise|2007}} The stationary plane bisects the figure from front-left to back-right and top to bottom.]] The [[W:Tesseract|tesseract]] is the [[W:Regular convex 4-polytope|regular convex 4-polytope]] with [[W:Schläfli symbol|Schläfli symbol]] <math>\{4,3,3\}</math>. It has 16 vertices, 32 edges, 24 square faces, and 8 cube cells. It is the four-dimensional analogue of the cube. The 16-point tesseract is the convex hull of a compound of two 8-point 16-cells, in exact dimensional analogy to the way the 8-point cube is the convex hull of a [[W:Stellated octahedron|compound of two 4-point regular tetrahedrons]]. The [[W:Demihypercube|demihypercubes]] occupy alternate vertices of the hypercubes. The diagonals of the square faces of the unit-edge, unit-radius tesseract are the <math>\sqrt{2}</math> edges of two unit-radius 16-cells, also the edges of the square central planes. We can rotate the tesseract isoclinically the way we rotated the 16-cell, by 90° in the great square rotation characteristic of the 16-cell, with parallel effect on both alternate-position 16-cells. In the course of a 720° revolution each vertex departs from all 8 vertex positions of its 16-cell just once and returns to its original position, but it does not visit the vertex positions of the other 16-cell. The two skew {8/3} octagram Clifford polygons lie on two disjoint parallel isoclines of the same chirality, of circumference <math>6\pi</math> over <math>\sqrt{2}</math> chords. They form a circular double helix which intersects each vertex of the tesseract once. The double helix is an 8-rung ladder twisted around 3 times, and bent into a circle in the fourth dimension with its ends joined. Each rung is a <math>\sqrt{3}</math> chord. The tesseract is the [[W:Dual polytope|dual polytope]] of the 16-cell. They have the same Petrie polygon, the regular skew octagon, but the tesseract is a construct of 4 Petrie octagons with disjoint sets of 8 tesseract edges each. We can construct the tesseract by skewing two planar octagons. Because the tesseract is radially equilateral (unlike the 16-cell), we use two octagons of unit-edge length to build the unit-radius tesseract. To start we embed the planar octagons in 4-space at the same point and make them completely orthogonal. Then we skew each planar octagon into a cube, so we have a compound of two completely orthogonal cubes, provided we skewed them both in the same direction. The 16 vertices will be the vertices of a tesseract with half its 32 edges missing. Because the tesseract contains two 16-cells in alternate positions it has two sets of 6 orthogonal square central planes. Two angles are required to specify the relationship between two planes in 4-space. Pairs of square central planes within each 16-cell are 90° apart in one angle, and either 0° or 90° apart in the other angle. They are 90° apart in both angles if and only if they are completely orthogonal planes, 90° apart by isoclinic rotation, with no vertices in common and their corresponding pairs of vertices 180° apart. Otherwise they are 0° apart in one of the angles, 90° apart by simple rotation, and they intersect in one axis and lie in a common 3-dimensional hyperplane.{{Efn|A double rotation in which one of the two angles of rotation is 0°, so that one of the completely orthogonal invariant planes does not rotate, is called a simple rotation. Ordinary rotations observed in a 3-dimensional space are simple rotations.|name=simple rotations}} A pair of square central planes from alternate-position 16-cells are 60° apart by isoclinic rotation, with their corresponding pairs of vertices 120° apart. The planes are not orthogonal or parallel, so they intersect in a line somewhere, but they have no vertices in common, they have no 3-dimensional hyperplane in common, and they cannot reach each other by simple rotation. Such pairs of objects are called [[W:Clifford parallel|Clifford parallel]] because all their corresponding pairs of vertices are the same distance apart, although they are not parallel in the usual sense, because they have a common center. Not only the alternate-position 16-cells' corresponding square central planes, but also the 16-cells themselves, are Clifford parallel objects. More generally, multiple disjoint instances of a 4-polytope which compound to make a larger 4-polytope are Clifford parallel objects. == The 24-cell == [[File:24-cell vertex geometry.png|thumb|Planar geometry of the radially equilateral 24-cell, showing its 3 great circle polygons and its 4 chord lengths.]] In 2-space we have the radially equilateral 6-point hexagon. In 3-space we have the radially equilateral 12-point cuboctahedron, with 4 hexagon central planes. In 4-space we have the radially equilateral 24-point 24-cell, with 12 cuboctahedron central hyperplanes and 16 hexagon central planes. The [[24-cell]] is the regular convex 4-polytope with Schläfli symbol <math>\{3,4,3\}</math>. It has 24 vertices, 96 edges, 96 equilateral triangle faces, and 24 octahedron cells. It is the four-dimensional analogue of the cuboctahedron. The 24-cell has the same chord set as the 4-hypercube tesseract: :<math>r_1=\sqrt{1},r_2=\sqrt{2},r_3=\sqrt{3},r_4=\sqrt{4}</math> [[Image:24-cell.gif|thumb|Orthographic projection of the 24-point 24-cell <math>\{3,4,3\}</math> performing a simple rotation.{{Sfn|Hise|2007}} The 3-dimensional surface made of 24 octahedra is visible.]] The 24-cell is [[W:Dual polytope|self-dual]], like the regular polygons and regular simplexes. It is the maximal regular construct of triangles and squares (with no pentagons). It is the convex hull of a compound of three completely disjoint 8-point 16-cells, rotated 60° isoclinically with respect to each other. Each of the three pairs of 16-cells is a tesseract. Each 24-cell edge is also a tesseract edge. The corresponding vertices of two 16-cells or two tesseracts are 120° apart by a <math>\sqrt{3}</math> chord. Each tesseract has 8 cube cells, and each cube has four <math>\sqrt{3}</math> long diameters. The <math>\sqrt{3}</math> chords joining the corresponding vertices of two tesseracts belong to the third tesseract as cell long diameters. The 24-cell's Petrie polygon is the regular dodecagon {12}. The unit-radius planar {12}-gon has chords of length: :<math>r_1=\tfrac{\sqrt{3}-1}{\sqrt{2}} \approx 0.518,r_2=\sqrt{1},r_3=\sqrt{2},r_4=\sqrt{3},r_5=\tfrac{\sqrt{3}+1}{\sqrt{2}} \approx 1.932,r_6=\sqrt{4}</math> Fontaine and Hurley's procedure for obtaining the reciprocal of a chord tells us that: :<math>r_5-r_3+r_1+r_1-r_3=1/r_5</math> when <math>r_1=1</math>. In the system of unit-radius coordinates <math>r_1=1/r_5</math>. The procedure rotates counterclockwise over five <math>r_5</math> chords of a {12/5} dodecagram. The <math>r_1</math> and <math>r_5</math> chords of the planar dodecagon do not occur in the 24-cell, which is a construct of eight skew dodecagons with disjoint sets of twelve <math>\sqrt{1}</math> edges each. In the skew dodecagons the chord lengths are: :<math>r_1=\sqrt{1},r_2=\sqrt{1},r_3=\sqrt{2},r_4=\sqrt{3},r_5=\sqrt{3},r_6=\sqrt{4}</math> Where chords are the same length, they are distinct only in the context of a rotation. The <math>r_1=\sqrt{1}</math> chords form 8 Petrie dodecagons which zig-zag back and forth, in the left and right rotational directions, between two Clifford parallel great hexagons formed by <math>r_2</math> chords. The 8 Petrie dodecagons can be divided four ways into 2 disjoint Petrie dodecagons {24/2}=2{12}. The <math>r_2=\sqrt{1}</math> chords form 16 great hexagons, which can be divided four ways into 4 Clifford parallel great hexagons {24/4}=4{6}. The <math>r_3=\sqrt{2}</math> chords form 18 great squares, which can be divided three ways into 6 Clifford parallel great squares {24/6}=6{4}, including one pair of completely orthogonal great squares from each of the three 16-cells. The <math>r_4=\sqrt{3}</math> chords form 32 great triangles, which can be divided four ways into 8 disjoint great triangles {24/8}=8{3} inscribed in 4 Clifford parallel great hexagons. The <math>r_5=\sqrt{3}</math> chords form 8 circular helix Clifford polygons, visible as a green {12/5} dodecagram in the orthogonal projection. An isoclinic rotation of the 24-cell in 4 invariant <math>r_2</math> hexagon planes moves the vertices along 2 Clifford parallel circular isoclines {24/2}=2{12/5} over <math>r_5</math> chords. [[File:dodecagon24cell.png|thumb|Orthogonal projection of half a 24-cell to the [[24-cell#Geodesics|F₄ Coxeter plane]]. Only one Petrie dodecagon {12} of the 24-cell is shown. In a unit-radius 24-cell, all black lines are 24-cell edges of unit length, also tesseract edges. The two disjoint hexagons lie in Clifford parallel central planes. Blue chords are <math>\sqrt{2}</math> 16-cell edges of Clifford parallel great squares, also isocline chords in great square rotations. Green chords are <math>\sqrt{3}</math> distances between corresponding vertices of two 16-cells, also isocline chords in great hexagon rotations. The green {12/5} dodecagram is a Clifford polygon.]] [[File:Regular_star_figure_3(8,3).svg|thumb|left|150px|{24/9}=3{8/3} shows three octagram isoclines of <math>\sqrt{2}</math> chords in the 24-cell]] We can rotate the 24-cell isoclinically in 6 Clifford parallel invariant great square planes containing 16-cell edges, in the great square rotation characteristic of the 16-cell, with parallel effect on all three 16-cells. In 720° each vertex departs from all 8 vertex positions of its 16-cell just once and returns to its original position, but it does not visit the vertex positions of the other 16-cells. The rotational curve over each 90° <math>\sqrt{2}</math> chord makes three 45° turns. Three Clifford parallel {8/3} octagram geodesic isoclines of circumference <math>6\pi</math> over <math>\sqrt{2}</math> chords form a circular triple helix {24/9}=3{8/3} that intersects each 24-cell vertex once. The triple helix is an 8-step circular staircase that twists around 3 times, and is bent into a torus in the fourth dimension. Each staircase step is a great triangle of <math>\sqrt{3}</math> chords. [[File:Regular star figure 2(12,5).svg|thumb|left|150px|{24/10}=2{12/5} shows 2 dodecagram isoclines of <math>\sqrt{3}</math> chords in the 24-cell]]We can rotate the 24-cell isoclinically in 4 Clifford parallel invariant great hexagon planes containing 24-cell edges, over <math>r_{5}</math> isocline chords. This is the ''great hexagon rotation characteristic of the 24-cell'', also Fontaine and Hurley's counterclockwise rotation over the <math>r_5</math> {12/5} star polygon, which constructs <math>1/r_5</math>. A 24-cell great hexagon invariant plane revolution requires 720° like a 16-cell great square invariant plane revolution, but it is completed in 12 isoclinic displacements of 60° each rather than 8 isoclinic displacements of 90° each. An isoclinic rotation by 60° in a great hexagon invariant plane takes every great hexagon to a Clifford parallel great hexagon in a twisting displacement, as 4 great hexagon invariant planes tilt sideways 60° while rotating 60° internally. It also takes every great square to a Clifford parallel great square. All 24 vertices move at once on two Clifford parallel geodesic isoclines, displaced 120° in different directions. The trajectory of each vertex over each 60° rotational displacement is a one-twelfth segment of its geodesic orbit. Its entire orbit traces an isocline circle in 4-space over 12 <math>r_5</math> <math>\sqrt{3}</math> chords, and also traces an ordinary great circle in the plane 5 times in a moving invariant rotation plane. The rotational curve over each <math>r_5</math> 120° chord makes five 30° turns. Two Clifford parallel {12/5} dodecagram geodesic isoclines of circumference <math>10\pi</math> form a circular double helix {24/10}=2{12/5} that intersects each 24-cell vertex once. In the course of a 720° revolution each vertex departs from 12 vertex positions just once and returns to its original position, and the 24-cell returns to its original orientation. {| class="wikitable floatright" style="white-space:nowrap;text-align:center" ! colspan="7" |6 distinct 180° chord pairs make 6 distinct isoclinic rotations |- ! colspan="3" |Short chords !Invariant planes ! colspan="3" |Long chords |- style="background: gainsboro;" | | rowspan="4" |<math>t_1</math> |60° | rowspan="4" |[[File:Regular_polygon_24.svg|100px]]<br>{24/1}={24} | rowspan="4" | | rowspan="4" |[[File:Regular_star_polygon_24-11.svg|100px]]<br>{24/11} |120° | rowspan="4" |<math>t_{11}</math> |- style="background: gainsboro;" | |{{radic|1}} |{{radic|3}} |- style="background: gainsboro;" | |1 |1.732~ |- style="background: gainsboro;" | |165° |15° |- style="background: palegreen;" | | rowspan="4" |<math>t_2</math> |60° | rowspan="4" |[[File:Regular_star_figure_2(12,1).svg|100px]]<br>{24/2}=2{12} | rowspan="4" |[[File:Regular_star_figure_4(6,1).svg|100px]]<br>{24/4}=4{6} | rowspan="4" |[[File:Regular_star_figure_2(12,5).svg|100px]]<br>{24/10}=2{12/5} |120° | rowspan="4" |<math>t_{10}</math> |- style="background: palegreen;" | |{{radic|1}} |{{radic|3}} |- style="background: palegreen;" | |1 |1.732~ |- style="background: palegreen;" | |150° |30° |- style="background: seashell;" | | rowspan="4" |<math>t_3</math> |90° | rowspan="4" |[[File:Regular_star_figure_3(8,1).svg|100px]]<br>{24/3}=3{8} | rowspan="4" |[[File:Regular_star_figure_6(4,1).svg|100px]]<br>{24/6}=6{4} | rowspan="4" |[[File:Regular_star_figure_3(8,3).svg|100px]]<br>{24/9}=3{8/3} |90° | rowspan="4" |<math>t_{9}</math> |- style="background: seashell;" | |{{radic|2}} |{{radic|2}} |- style="background: seashell;" | |1.414~ |1.414~ |- style="background: seashell;" | |135° |45° |- style="background: palegreen;" | | rowspan="4" |<math>t_4</math> |60° | rowspan="4" |[[File:Regular_star_figure_4(6,1).svg|100px]]<br>{24/4}=4{6} | rowspan="4" |[[File:Regular_star_figure_12(2,1).svg|100px]]<br>{24/12}=12{2} | rowspan="4" |[[File:Regular_star_figure_8(3,1).svg|100px]]<br>{24/8}=8{3} |120° | rowspan="4" |<math>t_{8}</math> |- style="background: palegreen;" | |{{radic|1}} |{{radic|3}} |- style="background: palegreen;" | |1 |1.732~ |- style="background: palegreen;" | |120° |60° |- style="background: gainsboro;" | | rowspan="4" |<math>t_5</math> |60° | rowspan="4" |[[File:Regular_star_polygon_24-5.svg|100px]]<br>{24/5} | rowspan="4" | | rowspan="4" |[[File:Regular_star_polygon_24-7.svg|100px]]<br>{24/7} |120° | rowspan="4" |<math>t_{7}</math> |- style="background: gainsboro;" | |{{radic|1}} |{{radic|3}} |- style="background: gainsboro;" | |1 |1.732~ |- style="background: gainsboro;" | |105° |75° |- style="background: seashell;" | | rowspan="4" |<math>t_6</math> |90° | rowspan="4" |[[File:Regular_star_figure_6(4,1).svg|100px]]<br>{24/6}=6{4} | rowspan="4" |[[File:Regular_star_figure_6(4,1).svg|100px]]<br>{24/6}=6{4} | rowspan="4" |[[File:Regular_star_figure_6(4,1).svg|100px]]<br>{24/6}=6{4} |90° | rowspan="4" |<math>t_{6}</math> |- style="background: seashell;" | |{{radic|2}} |{{radic|2}} |- style="background: seashell;" | |1.414~ |1.414~ |- style="background: seashell;" | |90° |90° |} By examining the chords <math>r_i</math> of the 24-cell's Petrie {12}-gon we have found two distinct isoclinic rotations, the great square rotation characteristic of the 16-cell and the great hexagon rotation characteristic of the 24-cell. If we examine the chords <math>t_i</math> of the 24-cell's {24}-gon we find these, and also four other distinct isoclinic rotations. Each row of the table describes a distinct isoclinic rotation of the 24-cell characterized by a pair of chords whose arc-lengths sum to 180°. Each chord lies in a central plane which is either a great square or a great hexagon. Each short chord plane is completely orthogonal to a corresponding long chord plane. These central planes are not to be confused with the invariant planes of the rotation, which intersect 0, 2, 4, or 6 vertices of the 24-cell as illustrated in the center column of each row. The short chord and long chord each have their characteristic {24/''n''}-gon, which correspond as projections of the 24-cell to completely orthogonal planes. Their projection viewpoints look straight down orthogonal cylinders in <math>\mathbb{S}^3</math> which are [[w:SO(4)#Visualization_of_4D_rotations|bent into tori]] in <math>\mathbb{R}^4</math>. Each {24/''n''}-gon forms either a compound of ''n'' disjoint Clifford parallel regular polygons, or a single regular {24/n} star polygon. Polygons with {2}, {3}, {4} or {6} sides lie in a central plane, and all others lie skew in 4-space. The rotational angle between successive short chords in 4-space and the rotational angle between successive long chords in 4-space sum to 180°. Those angles distinguish distinct chords <math>t_i</math> which are the same length. Each isoclinic rotation takes two chiral forms. There is a ''right rotation'' and a ''left rotation'' for each row of the table. A pair of right and left rotations are enantiomorphous reflections of each other, like a pair of clasped hands. The rotation takes Clifford parallel short chord polygons to each other, while the long chord polygons remain stationary in 4-space as vertices circle over them. The right and left rotations have non-congruent vertex position sequences: they take the short chord polygons through different sequences of short chord polygons. {{Clear}} == The 600-cell == [[Image:600-cell.gif|thumb|Orthographic projection of the 120-point 600-cell <math>\{3,3,5\}</math> performing a simple rotation.{{Sfn|Hise|2011}} The 3-dimensional surface made of 600 tetrahedra is visible. Invisible in this rendering are 25 inscribed instances of the [[#The 24-cell|24-cell (see illustration above)]], which occur in the 600-cell as interior boundary envelopes.]] The [[600-cell]] is the regular convex 4-polytope with Schläfli symbol <math>\{3,3,5\}</math>. It has 120 vertices, 720 edges, 1200 equilateral triangle faces, and 600 tetrahedron cells. It is the four-dimensional analogue of the icosahedron. The 600-cell rounds out the 24-cell by adding 96 more vertices (four more disjoint 24-cells) between the 24-cell's existing 24 vertices, in effect adding twenty-four more distinct 24-cells inscribed in the 600-cell. The new surface thus formed is a honeycomb of smaller, more numerous cells: tetrahedra of edge length <math>\phi^{-1} \approx 0.618</math> instead of octahedra of edge length <math>\sqrt{1}</math>. It encloses the <math>\sqrt{1}</math> edges of the 24-cells, which become invisible interior chords in the 600-cell, like the <math>\sqrt{2}</math> and <math>\sqrt{3}</math> chords. Since the tetrahedra are made of shorter triangle edges than the octahedra (by a factor of <math>\phi^{-1}</math> the inverse golden ratio), the 600-cell is not radially equilateral like the 24-cell and the tesseract. Like them it is radially triangular in a special way, but one in which [[w:Golden_triangle_(mathematics)|golden triangles]] rather than equilateral triangles meet at the center. In 2-space we have the ''radially golden'' [[W:Decagon#The golden ratio in decagon|regular decagon]]. In 3-space we have the radially golden 30-point [[W:icosidodecahedron|icosidodecahedron]], with 6 decagon central planes. In 4-space we have the radially golden 120-point 600-cell, with 60 icosidodecahedron central hyperplanes and 72 decagon central planes. The 600-cell's Petrie polygon is the regular [[w:Triacontagon|triacontagon {30}]]. The unit-radius planar {30}-gon has chords of length: :<math>r_1=2 \times \sin(\tfrac{\pi}{15}/2) \approx 0.209</math> :<math>r_2=2 \times \sin (\tfrac{2\pi}{15}/2) \approx 0.416</math> :<math>r_3=2 \times \sin (\tfrac{\pi}{5}/2)=\phi^{-1} \approx 0.618</math> :<math>r_4=2 \times \sin (\tfrac{4\pi}{15}/2) \approx 0.813</math> :<math>r_5=2 \times \sin (\tfrac{\pi}{3}/2)=\sqrt{1}</math> :<math>r_6=2 \times \sin (\tfrac{2\pi}{5}/2)=\sqrt{3-\phi} \approx 1.176</math> :<math>r_7=2 \times \sin (\tfrac{7\pi}{15}/2) \approx 1.338</math> :<math>r_8=2 \times \cos (\tfrac{7\pi}{15}/2) \approx 1.486</math> :<math>r_9=2 \times \sin (\tfrac{3\pi}{5}/2)=\phi \approx 1.618</math> :<math>r_{10}=2 \times \sin (\tfrac{2\pi}{3}/2)=\sqrt{3}</math> :<math>r_{11}=2 \times \cos (\tfrac{4\pi}{15}/2) \approx 1.827</math> :<math>r_{12}=2 \times \sin (\tfrac{4\pi}{5}/2)=\sqrt{2+\phi} \approx 1.902</math> :<math>r_{13}=2 \times \cos (\tfrac{2\pi}{15}/2) \approx 1.956</math> :<math>r_{14}=2 \times \cos (\tfrac{\pi}{15}/2) \approx 1.989</math> :<math>r_{15}=2 \times \sin (\pi/2)=\sqrt{4}</math> Only the chord lengths <math>r_3</math>, <math>r_5</math>, <math>r_6</math>, <math>\sqrt{2}</math>, <math>r_9</math>, <math>r_{10}</math>, <math>r_{12}</math>, <math>r_{15}</math> occur in the 600-cell, which is a construct of 24 Petrie {30}-gons of edge length <math>r_3</math>, six of which intersect in each icosahedral vertex figure. In the skew {30}-gons the chord lengths are: [[File:600-cell vertex geometry.png|thumb|Planar geometry of the 600-cell, showing its 5 regular great circle polygons and its 8 chord lengths with angles of arc. The golden ratio governs the fractional roots of every other chord, and the radial golden triangles which meet at the center.|400x400px]] :<math>r_1=2 \times \sin (\tfrac{\pi}{5}/2)=\phi^{-1} \approx 0.618</math> :<math>r_2=2 \times \sin (\tfrac{\pi}{5}/2)=\phi^{-1} \approx 0.618</math> :<math>r_3=2 \times \sin (\tfrac{\pi}{5}/2)=\phi^{-1} \approx 0.618</math> :<math>r_4=2 \times \sin (\tfrac{\pi}{3}/2)=\sqrt{1}</math> :<math>r_5=2 \times \sin (\tfrac{\pi}{3}/2)=\sqrt{1}</math> :<math>r_6=2 \times \sin (\tfrac{2\pi}{5}/2)=\sqrt{3-\phi} \approx 1.176</math> :<math>r_7=2 \times \sin (\tfrac{\pi}{2}/2)=\sqrt{2}</math> :<math>r_8=2 \times \sin (\tfrac{\pi}{2}/2)=\sqrt{2}</math> :<math>r_9=2 \times \sin (\tfrac{3\pi}{5}/2)=\phi \approx 1.618</math> :<math>r_{10}=2 \times \sin (\tfrac{2\pi}{3}/2)=\sqrt{3}</math> :<math>r_{11}=2 \times \sin (\tfrac{2\pi}{3}/2)=\sqrt{3}</math> :<math>r_{12}=2 \times \sin (\tfrac{4\pi}{5}/2)=\sqrt{2+\phi} \approx 1.902</math> :<math>r_{13}=2 \times \sin (\tfrac{4\pi}{5}/2)=\sqrt{2+\phi} \approx 1.902</math> :<math>r_{14}=2 \times \sin (\tfrac{4\pi}{5}/2)=\sqrt{2+\phi} \approx 1.902</math> :<math>r_{15}=2 \times \sin (\pi/2)=\sqrt{4}</math> Where chords are the same length, they are distinct only in the context of a rotation. {| class="wikitable floatright" style="white-space:nowrap;text-align:center" ! colspan="7" |15 chords (4 distinct 180° pairs) make 4 distinct section polyhedra |- ! colspan="3" |Short chords ! Section ! colspan="3" |Long chords |- style="background: palegreen;" | | rowspan="4" |<math>r_0</math> |0° | rowspan="4" | | rowspan="4" | | rowspan="4" |[[File:Regular_star_figure_15(2,1).svg|100px]]<br>{30/15}=15{2} |180° | rowspan="4" |<math>r_{15}</math> |- style="background: palegreen;" | |{{radic|0}} |{{radic|4}} |- style="background: palegreen;" | |0 |2 |- style="background: palegreen;" | |180° |0° |- style="background: palegreen;" | | rowspan="4" |<math>r_1</math> |36° | rowspan="4" |[[File:Regular_polygon_30.svg|100px]]<br>{30/1} | rowspan="4" | | rowspan="4" |[[File:Regular_star_figure_2(15,7).svg|100px]]<br>{30/14}=2{15/7} |144° | rowspan="4" |<math>r_{14}</math> |- style="background: palegreen;" | |{{radic|0.382~}} |{{radic|3.618~}} |- style="background: palegreen;" | |0.618~ |1.902~ |- style="background: palegreen;" | |168° |12° |- style="background: gainsboro;" | | rowspan="4" |<math>r_2</math> |36° | rowspan="4" |[[File:Regular_star_figure_2(15,1).svg|100px]]<br>{30/2}=2{15} | rowspan="4" | | rowspan="4" |[[File:Regular_star_polygon_30-13.svg|100px]]<br>{30/13} |144° | rowspan="4" |<math>r_{13}</math> |- style="background: gainsboro;" | |{{radic|0.382~}} |{{radic|3.618~}} |- style="background: gainsboro;" | |0.618~ |1.902~ |- style="background: gainsboro;" | |156° |24° |- style="background: yellow;" | | rowspan="4" |<math>r_3</math> |36° | rowspan="4" |[[File:Regular_star_figure_3(10,1).svg|100px]]<br>{30/3}=3{10} | rowspan="4" |[[File:V1 icosahedron.png|100px]]<br>Icosahedron | rowspan="4" |[[File:Regular_star_figure_6(5,2).svg|100px]]<br>{30/12}=6{5/2} |144° | rowspan="4" |<math>r_{12}</math> |- style="background: yellow;" | |{{radic|0.382~}} |{{radic|3.618~}} |- style="background: yellow;" | |0.618~ |1.902~ |- style="background: yellow;" | |144° |36° |- style="background: palegreen;" | | rowspan="4" |<math>r_4</math> |60° | rowspan="4" |[[File:Regular_star_figure_2(15,2).svg|100px]]<br>{30/4}=2{15/2} | rowspan="4" | | rowspan="4" |[[File:Regular_star_polygon_30-11.svg|100px]]<br>{30/11} |120° | rowspan="4" |<math>r_{11}</math> |- style="background: palegreen;" | |{{radic|1}} |{{radic|3}} |- style="background: palegreen;" | |1 |1.732~ |- style="background: palegreen;" | |132° |48° |- style="background: palegreen;" | | rowspan="4" |<math>r_5</math> |60° | rowspan="4" |[[File:Regular_star_figure_5(6,1).svg|100px]]<br>{30/5}=5{6} | rowspan="4" |[[File:V2 dodecahedron.png|100px]]<br>Dodecahedron | rowspan="4" |[[File:Regular_star_figure_10(3,1).svg|100px]]<br>{30/10}=10{3} |120° | rowspan="4" |<math>r_{10}</math> |- style="background: palegreen;" | |{{radic|1}} |{{radic|3}} |- style="background: palegreen;" | |1 |1.732~ |- style="background: palegreen;" | |120° |60° |- style="background: yellow;" | | rowspan="4" |<math>r_{6}</math> |72° | rowspan="4" |[[File:Regular_star_figure_6(5,1).svg|100px]]<br>{30/6}=6{5} | rowspan="4" |[[File:V3 icosahedron.png|100px]]<br>Icosahedron | rowspan="4" |[[File:Regular_star_figure_3(10,3).svg|100px]]<br>{30/9}=3{10/3} |108° | rowspan="4" |<math>r_{9}</math> |- style="background: yellow;" | |{{radic|1.382~}} |{{radic|2.618~}} |- style="background: yellow;" | |1.176~ |1.618~ |- style="background: yellow;" | |108° |72° |- style="background: seashell;" | | rowspan="4" |<math>r_{7}</math> |90° | rowspan="4" |[[File:Regular_star_polygon_30-7.svg|100px]]<br>{30/7} | rowspan="4" |[[File:V4 icosidodecahedron.png|100px]]<br>Icosidodecahedron | rowspan="4" |[[File:Regular_star_figure_2(15,4).svg|100px]]<br>{30/8}=2{15/4} |90° | rowspan="4" |<math>r_{8}</math> |- style="background: seashell;" | |{{radic|2}} |{{radic|2}} |- style="background: seashell;" | |1.414~ |1.414~ |- style="background: seashell;" | |96° |84° |} The list of 600-cell chords <math>r_{i}</math> can be rearranged into a table of 8 rows with a pair of 180° complements in each row. The short chord and long chord each have their characteristic {30/n}-gon. Each row identifies a distinct isoclinic rotation of the 600-cell, which occurs in right and left chiral forms. In both forms the long chord is the isocline chord of the stationary Clifford polygon over which vertices circle in 4-space. Each distinct pair of complementary chord lengths is also identified with a distinct [[w:600-cell#Polyhedral sections|polyhedral section of the 600-cell]] beginning with a vertex. In spherical [[w:3-sphere|3-dimensional space <math>\mathbb{S}^3</math>]], every vertex is the center of a set of 7 concentric polyhedra of increasing radii that nest like [[w:Matryoshka_doll|Russian dolls.]] The smallest polyhedral section at radial distance <math>\phi^{-1}</math> is a icosahedron vertex figure, and the largest section at radial distance <math>\sqrt{2}</math> is an [[W:Icosidodecahedron|icosidodecahedron]] central section bisecting the 600-cell. Because [[w:3-sphere|<math>\mathbb{S}^3</math>]] is spherical, at radial distances greater than <math>\sqrt{2}</math> the successive complement-radius polyhedra decrease in size, to the antipodal icosahedron vertex figure at distance <math>\sqrt{2+\phi}</math>. In Euclidean 4-dimensional space <math>\mathbb{R}^4</math>, every vertex is the apex of 7 [[w:Hyperpyramid|polyhedral pyramids]] where the lateral edge length is the chordal distance to the base polyhedron section. Each section lies parallel to a congruent complement-radius section (or coincident with it, in the case of the central section). [[File:Regular_star_figure_3(8,3).svg|thumb|left|150px|{24/9}=3{8/3} <math>\sqrt{2}</math>]] We can rotate the 600-cell isoclinically in the great square rotation characteristic of the 16-cell, with parallel effect on 15 disjoint 16-cells. Each 90° displacement takes 15 pairs of completely orthogonal invariant great square planes to each other. In the course of a 720° revolution each vertex departs from all 8 vertex positions of its 16-cell just once and returns to its original position, without visiting other vertex positions. The rotational curve over each 90° chord makes three 45° turns. Fifteen Clifford parallel {8/3} octagram geodesic isoclines of circumference <math>6\pi</math> form a circular fibration of 15 twisted parallel strands 5{24/9}=15{8/3} that intersects each 600-cell vertex once. The 600-cell has another distinct isoclinic rotation in invariant great square planes, which has period 30 and visits every vertex of a 600-cell Petrie polygon. This ''great square rotation characteristic of the 600-cell'' takes place over <math>r_7</math> edge chords and <math>r_8</math> isocline chords. The {30/7} edge polygon is a skew helix of circumference <math>14\pi</math> with each <math>r_7</math> edge belonging to a distinct great square. The four {30/7} polygrams contribute one edge each to 30 great squares. Each 90° displacement takes every 16-cell to another 16-cell. The vertices of the invariant great squares each make seven orbits on a great circle within the moving invariant plane in the course of one complete revolution. The rotational curve over each 90° {30/7} edge makes seven 12° turns. Four Clifford parallel {30/7} geodesics of circumference <math>16\pi</math> form a circular quadruple helix that intersects each 600-cell vertex once. The {30/8}=2{15/4} Clifford polygon is a compound of two skew {15/4} pentadecagrams of circumference <math>16\pi</math> with each <math>r_8</math> isocline chord belonging to a distinct 16-cell. The four {30/8} polygrams contribute one edge each to 30 great squares. The rotational curve over each 90° {30/8} isocline chord makes eight 12° turns. Four Clifford parallel {30/8} geodesics of circumference <math>16\pi</math> form a circular quadruple helix that intersects each 600-cell vertex once. {{Clear}} [[File:Regular star figure 2(12,5).svg|thumb|left|150px|{24/10}=2{12/5} <math>\sqrt{3}</math>]] We can rotate the 600-cell isoclinically in the great hexagon rotation characteristic of the 24-cell, over <math>\sqrt{1}</math> edge chords and <math>\sqrt{3}</math> isocline chords, with parallel effect on 5 disjoint 24-cells. In the course of a 720° revolution each vertex departs from 12 vertex positions of its 24-cell just once and returns to its original position, without visiting other vertex positions. Ten Clifford parallel {12/5} dodecagram geodesic isoclines of circumference <math>10\pi</math> form a circular fibration of ten twisted parallel strands 5{24/10}=10{12/5} that intersects each 600-cell vertex once. The 600-cell has another distinct isoclinic rotation in invariant great hexagon planes, over <math>r_{4}=\sqrt{1}</math> edge chords and <math>r_{11}=\sqrt{3}</math> isocline chords This ''great hexagon rotation characteristic of the 600-cell'' has 4 parallel orbits of period 30. The {30/11} Clifford polygon is a skew helix where each <math>r_{11}</math> isocline chord is the <math>\sqrt{3}</math> diagonal of a great hexagon of a 24-cell. The vertices in the invariant planes of this rotation each make eleven orbits on a great circle within the moving invariant plane in the course of one complete revolution. The rotational curve over each 120° <math>r_{11}</math> isocline chord makes eleven 12° turns. Four Clifford parallel {30/11} geodesic isoclines of circumference <math>22\pi</math> over <math>r_{11}</math> chords form a circular quadruple helix that intersects each 600-cell vertex once. We can rotate the 600-cell isoclinically in 12 Clifford parallel invariant decagon central planes containing its 36° <math>r_{3}</math> edges, over 144° <math>r_{12}</math> isocline chords. This ''great pentagon rotation characteristic of the 600-cell'' has period 5 and takes disjoint 24-cells to each other. The rotational curve over each <math>r_{12}</math> chord of its {5/2} Clifford polygon makes twelve 12° turns. 24 Clifford parallel {5/2} pentagram geodesic isoclines of circumference <math>4\pi</math> over five <math>r_{12}</math> chords form a circular fibration of 24 twisted parallel strands 4{30/12}=24{5/2} that intersects each 600-cell vertex once. The rotation of the 600-cell by 36° in any invariant decagon central plane takes every great decagon to a Clifford parallel great decagon in a twisting displacement, as all the central planes tilt sideways 36° while rotating 36° internally. It also takes every great hexagon to a Clifford parallel great hexagon, and every great square to a Clifford parallel great square. The 24-cells revolve within the 600-cell, as the 16-cells revolve within the 24-cells. All 120 vertices move at once on four Clifford parallel geodesic isoclines, displaced 144° in different directions. The 600-cell has another distinct isoclinic rotation in invariant great decagon planes containing its 36° <math>r_{2}</math> edges, over 144° <math>r_{13}</math> isocline chords. This rotation has 4 parallel orbits of period 30. The rotational curve over each 144° <math>r_{13}</math> isocline chord makes thirteen 12° turns. Four Clifford parallel {30/13} geodesic isoclines of circumference <math>26\pi</math> form a circular quadruple helix that intersects each 600-cell vertex once. {{Clear}} == Finally the 120-cell == {| class="wikitable floatright" style="white-space:nowrap;text-align:center" ! colspan="7" |30 chords (15 180° pairs) make 15 distinct section polyhedra |- ! colspan="3" |Short chords ! Section ! colspan="3" |Long chords |- style="background: palegreen;" | | rowspan="4" |<math>c_0</math> |0° | rowspan="4" | | rowspan="4" | | rowspan="4" |[[File:Regular_star_figure_15(2,1).svg|100px]]<br>{30/15}=15{2} |180° | rowspan="4" |<math>c_{30}</math> |- style="background: palegreen;" | |{{radic|0}} |{{radic|4}} |- style="background: palegreen;" | |0 |2 |- style="background: palegreen;" | |180° |0° |- style="background: palegreen;" | | rowspan="4" |<math>c_1</math> |15.5~° | rowspan="4" |[[File:Regular_polygon_30.svg|100px]]<br>{30/1} | rowspan="4" | | rowspan="4" |[[File:Regular_star_figure_2(15,7).svg|100px]]<br>{30/14} |164.5~° | rowspan="4" |<math>c_{29}</math> |- style="background: palegreen;" | |{{radic|0.073~}} |{{radic|3.927~}} |- style="background: palegreen;" | |0.270~ |1.982~ |- style="background: palegreen;" | |168° |12° |- style="background: gainsboro;" | | rowspan="4" |<math>c_2</math> |25.2~° | rowspan="4" |[[File:Regular_star_figure_2(15,1).svg|100px]]<br>{30/2}=2{15} | rowspan="4" | | rowspan="4" |[[File:Regular_star_polygon_30-13.svg|100px]]<br>{30/13} |154.8~° | rowspan="4" |<math>c_{28}</math> |- style="background: gainsboro;" | |{{radic|0.191~}} |{{radic|3.809~}} |- style="background: gainsboro;" | |0.437~ |1.952~ |- style="background: gainsboro;" | |156° |24° |- style="background: yellow;" | | rowspan="4" |<math>c_3</math> |36° | rowspan="4" |[[File:Regular_star_figure_3(10,1).svg|100px]]<br>{30/3}=3{10} | rowspan="4" | | rowspan="4" |[[File:Regular_star_figure_6(5,2).svg|100px]]<br>{30/12}=6{5/2} |144° | rowspan="4" |<math>c_{27}</math> |- style="background: yellow;" | |{{radic|0.382~}} |{{radic|3.618~}} |- style="background: yellow;" | |0.618~ |1.902~ |- style="background: yellow;" | |144° |36° |- style="background: gainsboro;" | | rowspan="4" |<math>c_4</math> |41.4~° | rowspan="4" | | rowspan="4" | | rowspan="4" | |138.6~° | rowspan="4" |<math>c_{26}</math> |- style="background: gainsboro;" | |{{radic|0.5}} |{{radic|3.5}} |- style="background: gainsboro;" | |0.707~ |1.871~ |- style="background: gainsboro;" | |138° |42° |- style="background: palegreen;" | | rowspan="4" |<math>c_5</math> |44.5~° | rowspan="4" |[[File:Regular_star_figure_2(15,2).svg|100px]]<br>{30/4}=2{15/2} | rowspan="4" | | rowspan="4" |[[File:Regular_star_polygon_30-11.svg|100px]]<br>{30/11} |135.5~° | rowspan="4" |<math>c_{25}</math> |- style="background: palegreen;" | |{{radic|0.573~}} |{{radic|3.427~}} |- style="background: palegreen;" | |0.757~ |1.851~ |- style="background: palegreen;" | |132° |48° |- style="background: gainsboro; height:50px" | | rowspan="4" |<math>c_6</math> |49.1~° | rowspan="4" | | rowspan="4" | | rowspan="4" | |130.9~° | rowspan="4" |<math>c_{24}</math> |- style="background: gainsboro;" | |{{radic|0.691~}} |{{radic|3.309~}} |- style="background: gainsboro;" | |0.831~ |1.819~ |- style="background: gainsboro;" | |128° |52° |- style="background: gainsboro; height:50px" | | rowspan="4" |<math>c_7</math> |56° | rowspan="4" | | rowspan="4" | | rowspan="4" | |124° | rowspan="4" |<math>c_{23}</math> |- style="background: gainsboro;" | |{{radic|0.882~}} |{{radic|3.118~}} |- style="background: gainsboro;" | |0.939~ |1.766~ |- style="background: gainsboro;" | |124° |56° |- style="background: palegreen;" | | rowspan="4" |<math>c_8</math> |60° | rowspan="4" |[[File:Regular_star_figure_5(6,1).svg|100px]]<br>{30/5}=5{6} | rowspan="4" | | rowspan="4" |[[File:Regular_star_figure_10(3,1).svg|100px]]<br>{30/10}=10{3} |120° | rowspan="4" |<math>c_{22}</math> |- style="background: palegreen;" | |{{radic|1}} |{{radic|3}} |- style="background: palegreen;" | |1 |1.732~ |- style="background: palegreen;" | |120° |60° |- style="background: gainsboro; height:50px" | | rowspan="4" |<math>c_9</math> |66.1~° | rowspan="4" | | rowspan="4" | | rowspan="4" | |113.9~° | rowspan="4" |<math>c_{21}</math> |- style="background: gainsboro;" | |{{radic|1.191~}} |{{radic|2.809~}} |- style="background: gainsboro;" | |1.091~ |1.676~ |- style="background: gainsboro;" | |116° |64° |- style="background: gainsboro; height:50px" | | rowspan="4" |<math>c_{10}</math> |69.8~° | rowspan="4" | | rowspan="4" | | rowspan="4" | |110.2~° | rowspan="4" |<math>c_{20}</math> |- style="background: gainsboro;" | |{{radic|1.309~}} |{{radic|2.691~}} |- style="background: gainsboro;" | |1.144~ |1.640~ |- style="background: gainsboro;" | |112° |68° |- style="background: yellow;" | | rowspan="4" |<math>c_{11}</math> |72° | rowspan="4" |[[File:Regular_star_figure_6(5,1).svg|100px]]<br>{30/6}=6{5} | rowspan="4" | | rowspan="4" |[[File:Regular_star_figure_3(10,3).svg|100px]]<br>{30/9}=3{10/3} |108° | rowspan="4" |<math>c_{19}</math> |- style="background: yellow;" | |{{radic|1.382~}} |{{radic|2.618~}} |- style="background: yellow;" | |1.176~ |1.618~ |- style="background: yellow;" | |108° |72° |- style="background: palegreen; height:50px" | | rowspan="4" |<math>c_{12}</math> |75.5~° | rowspan="4" | | rowspan="4" | | rowspan="4" |[[File:Regular_star_figure_2(15,4).svg|100px]]<br>{30/8}=2{15/4} |104.5~° | rowspan="4" |<math>c_{18}</math> |- style="background: palegreen;" | |{{radic|1.5}} |{{radic|2.5}} |- style="background: palegreen;" | |1.224~ |1.581~ |- style="background: palegreen;" | |96° |84° |- style="background: gainsboro; height:50px" | | rowspan="4" |<math>c_{13}</math> |81.1~° | rowspan="4" | | rowspan="4" | | rowspan="4" | |98.9~° | rowspan="4" |<math>c_{17}</math> |- style="background: gainsboro;" | |{{radic|1.691~}} |{{radic|2.309~}} |- style="background: gainsboro;" | |1.300~ |1.520~ |- style="background: gainsboro;" | |° |° |- style="background: gainsboro; height:50px" | | rowspan="4" |<math>c_{14}</math> |84.5~° | rowspan="4" | | rowspan="4" | | rowspan="4" | |95.5~° | rowspan="4" |<math>c_{16}</math> |- style="background: gainsboro;" | |{{radic|0.809~}} |{{radic|2.191~}} |- style="background: gainsboro;" | |1.345~ |1.480~ |- style="background: gainsboro;" | |° |° |- style="background: seashell;" | | rowspan="4" |<math>c_{15}</math> |90° | rowspan="4" |[[File:Regular_star_polygon_30-7.svg|100px]]<br>{30/7} | rowspan="4" | | rowspan="4" |[[File:Regular_star_polygon_30-7.svg|100px]]<br>{30/7} |90° | rowspan="4" |<math>c_{15}</math> |- style="background: seashell;" | |{{radic|2}} |{{radic|2}} |- style="background: seashell;" | |1.414~ |1.414~ |- style="background: seashell;" | |90° |90° |} The [[120-cell]] is the regular convex 4-polytope with Schläfli symbol <math>\{5,3,3\}</math>. It has 600 vertices, 1200 edges, 720 pentagon faces, and 120 dodecahedron cells. It is the four-dimensional analogue of the dodecahedron. The [[User:Dc.samizdat/Golden chords of the 120-cell#Thirty distinguished distances|list of 30 120-cell chords]] <math>c_{t}</math> can be rearranged into a table of 16 rows with a pair of 180° complements in each row. This table first appears in [[w:Regular_Polytopes_(book)|''Regular Polytopes'']] (1947),{{Sfn|Coxeter|1973|loc=Table V(v): Simplified sections of {5,3,3} beginning with a vertex|pp=300-301}} where Coxeter identified each row with a distinct [[w:120-cell#Concentric_hulls|polyhedral section of the 120-cell]] beginning with a vertex. He showed that in spherical [[w:3-sphere|3-dimensional space <math>\mathbb{S}^3</math>]] every vertex is the center of a set of 29 concentric polyhedra of increasing radii that nest like [[w:Matryoshka_doll|Russian dolls.]] The smallest polyhedral section at radial distance <math>c_1</math> is a tetrahedron vertex figure, and the largest section at radial distance <math>c_{15}</math> is a central section bisecting the 120-cell. Because [[w:3-sphere|<math>\mathbb{S}^3</math>]] is spherical, at radial distances greater than <math>c_{15}</math> the successive complement-radius polyhedra decrease in size, to the antipodal tetrahedron vertex figure at distance <math>c_{29}</math>. In Euclidean 4-dimensional space <math>\mathbb{R}^4</math>, every vertex is the apex of 29 [[w:Hyperpyramid|polyhedral pyramids]], where the pyramid's lateral edge length is the radial distance in <math>\mathbb{S}^3</math> and its base polyhedron is the section. Each section lies parallel to a congruent complement-radius section (or coincident with it, in the case of the central section). In the 120-cell, each section also lies completely orthogonal to another congruent section. The 120-cell is the [[W:Dual polytope|dual polytope]] of the 600-cell. They have the same Petrie polygon, the regular skew triacontagon {30}, but the 120-cell is a construct of 40 Petrie {30}-gons of edge length <math>c_1</math>, two of which intersect in each tetrahedral vertex figure. Only 8 of the 30 chords in the 120-cell occur in the 600-cell. The 120-cell's additional chords arise originally from the regular 5-cell 4-simplex, in its interaction with the other regular 4-polytopes that compound to make the 120-cell. Since all those polytopes except the 5-cell occur in the 600-cell, and the 600-cell and the 120-cell have the same symmetry group, the 5-cell's symmetry group is the entirety of what's new in the 120-cell. ... {{Clear}} == Conclusions == Fontaine and Hurley's discovery is more than a geometric formula for the reciprocal of a regular ''n''-polygon diagonal. It also yields the discrete sequence of isocline chords of the characteristic isoclinic rotation of a ''d''-dimensional polytope. The characteristic rotational chord sequence of the ''d''-polytope can be represented geometrically in two dimensions on a distinct star polygon, but it lies on a geodesic circle through ''d''-dimensional space. Fontaine and Hurley discovered the geodesic topology of polytopes generally. Their procedure will reveal the geodesics of arbitrary non-uniform polytopes, since it can be applied to a polytope of any dimensionality and irregularity, by first fitting the polytope to the smallest regular polygon whose chords include its chords. [If what is meant by this is its Petrie polygon, it is not quite necessary or possible with respect to the planar polygon chords, e.g. the planar Petrie polygon of the 600-cell does not contain the <math>\sqrt{2}</math> chord. But perhaps it would work if the fit is to the smallest regular skew polygon in the ''d''-space.] The discovery of a chordal construction for discrete isoclinic rotations generally closes the circuit on Kappraff and Adamson's discovery of a rotational connection between dynamical systems, Steinbach's golden fields, and Coxeter's Euclidean geometry of reflections in ''n'' dimensions. Application of the Fontaine and Hurley procedure to the 120-cell demonstrates why the connection exists: because polytope sequences generally, from Steinbach's golden chord sequences in polygons, to sequences of star polygons in isoclinic rotations, to subsumption relations in the sequence of regular 4-polytopes, arise as expressions of the reflections and rotations of distinct Coxeter symmetry groups, when those various groups interact. == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == Notes == {{Notelist}} == Citations == {{Reflist}} == References == {{Refbegin}} * {{Cite journal | last=Steinbach | first=Peter | year=1997 | title=Golden fields: A case for the Heptagon | journal=Mathematics Magazine | volume=70 | issue=Feb 1997 | pages=22–31 | doi=10.1080/0025570X.1997.11996494 | jstor=2691048 | ref={{SfnRef|Steinbach|1997}} }} * {{Cite journal | last=Steinbach | first=Peter | year=2000 | title=Sections Beyond Golden| journal=Bridges: Mathematical Connections in Art, Music and Science | issue=2000 | pages=35-44 | url=https://archive.bridgesmathart.org/2000/bridges2000-35.pdf | ref={{SfnRef|Steinbach|2000}}}} * {{Cite journal | last1=Kappraff | first1=Jay | last2=Jablan | first2=Slavik | last3=Adamson | first3=Gary | last4=Sazdanovich | first4=Radmila | year=2004 | title=Golden Fields, Generalized Fibonacci Sequences, and Chaotic Matrices | journal=Forma | volume=19 | pages=367-387 | url=https://archive.bridgesmathart.org/2005/bridges2005-369.pdf | ref={{SfnRef|Kappraff, Jablan, Adamson & Sazdanovich|2004}} }} * {{Cite journal | last1=Kappraff | first1=Jay | last2=Adamson | first2=Gary | year=2004 | title=Polygons and Chaos | journal=Dynamical Systems and Geometric Theories | url=https://archive.bridgesmathart.org/2001/bridges2001-67.pdf | ref={{SfnRef|Kappraff & Adamson|2004}} }} * {{Cite journal | last1=Fontaine | first1=Anne | last2=Hurley | first2=Susan | year=2006 | title=Proof by Picture: Products and Reciprocals of Diagonal Length Ratios in the Regular Polygon | journal=Forum Geometricorum | volume=6 | pages=97-101 | url=https://scispace.com/pdf/proof-by-picture-products-and-reciprocals-of-diagonal-length-1aian8mgp9.pdf }} {{Refend}} 99env6h58s5v305lrmw6vssgn3g862o 0 330494 2821136 2820612 2026-08-09T07:56:06Z NDM2024 2984088 2821136 wikitext text/x-wiki '''<big>The John Snow Prediabetes Institute.</big>''' https://w.wiki/Skm7 The John Snow prediabetes Institute is an international research network focused on prediabetes (prevention) remission, early risk identification, and metabolic health education. <big>Millions are at increased risk of developing metabolic syndromes with prediabetes, diabetes type 2, high blood pressure and overweight. All can lower their risks by staying physical active and eating well. Early diagnosis and education of prediabetes is a cost-effective preventive strategy that can improve long-term health outcomes. A practical strategy for prediabetes remission in low- and middle-income countries (LMICs) must assume that laboratory capacity, workforce, and financing are constrained. For early identification of the risks we propose to register weight and height (BMI), the fasting blood sugar (glucometer), blood pressure, age, gender in the '''Prevalence studies''' at the schools for seafarers, nurses, medical students and the kids schools followed by giving educational materials.The 16-weeks '''intervention studies''' include learnings by short video sequences and self-monitoring of blood sugar with glucometer and self-evaluation of diet and physical activity. Educational materials is available from the international diabetes organisations e.g from the ADA: <ref>https://professional.diabetes.org/diabetes-support-resources</ref>[[File:Lifestyle Medicine Pillars.png|300px|right|<big>The focus of Lifestyle Medicine is on these 6 pillars.</big>]] [[File:Cholera in London 1866.gif|thumb|250px|<big>Map of a later cholera outbreak in London, in 1866</big>]] [[File:Choleramaplondon1866.png|thumb|right|250px|<big>Legend for the map above</big>]]<big>1. '<nowiki/>'''Prevalence studies''''</big> <big>1.1 The-International-Maritime-Health-Database <ref>https://www.dropbox.com/scl/fi/z3cq5ciiev06y8v9duw7u/A-International-Maritime-Health-Database.docx?cloud_editor=word&dl=0&rlkey=pt0kdesvmagcxaa2wez3tmza3 </ref></big> <big>1.2 Nursing Students Health Database <ref> https://www.dropbox.com/scl/fi/tcznmmd2y3nona5e3h1ro/The-Nursing-students-health-database.docx?cloud_editor=word&dl=0&rlkey=onbjh4o8ko1lzdvgyi8nlrotk </ref></big> <big>1.3. Medical student's Health Database <ref>https://www.dropbox.com/scl/fi/f16h9b60u4gxgt56un2jf/The-Medical-students-Health-database.docx?cloud_editor=word&dl=0&rlkey=xyfqen5trdc5lniaovipl548n </ref></big> <big>1.4. School childrens Health database <ref> https://www.dropbox.com/scl/fi/u6u50c8bxwhte9t2t6ck8/The-School-children-s-Health-database.docx?cloud_editor=word&dl=0&rlkey=zlyz5wn673wf7owettq3nx3h5 </ref></big> <big><br /> 2. '''Intervention studies''' Englsh <ref>https://www.dropbox.com/scl/fi/oi6cx6tlwwvoko3ed37tn/Invitation-to-the-course-English.docx?cloud_editor=word&dl=0&rlkey=7kzg91tqfgjskxf5aji8khicx </ref> Danish <ref>https://www.dropbox.com/scl/fi/2qahc3q9hmf4skbvk77ab/Invitation-to-the-course-in-Danish.docx?cloud_editor=word&dl=0&rlkey=x63w8oqvarz284zg2btq2johv </ref> Spanish <ref> https://www.dropbox.com/scl/fi/bn71inqeeth4o4mc1fjth/Invitation-to-the-course-Spanish.docx?cloud_editor=word&dl=0&rlkey=popmr1fnodh1v951v9l7k9ezv </ref></big> <big>- General research protocol draft <ref> https://www.dropbox.com/scl/fi/gau25oy5y1s57046icjt2/Research-protocol-draft.docx?cloud_editor=word&dl=0&rlkey=wat63e25ritmujwcpss8s4v0s </ref></big> <big>- Health Promoting Schools <ref> https://www.dropbox.com/scl/fi/0rm7honrezbjwrcy3h3yk/Health-promoting-schools.docx?cloud_editor=word&dl=0&rlkey=673jyzcmwbfw7k9ui9nmtp0zh </ref></big> <big>- John Snow Institute bylaws <ref> https://www.dropbox.com/scl/fi/lccr7jtnga1u0x75117zn/John-Snow-revision-2-March-11.doc?cloud_editor=word&dl=0&rlkey=lz2gi7mslcoay5dzygg8h6n6r </ref></big> <big>3. '''Publications and pptx''' 2016-2026 <ref>https://en.wikiversity.org/wiki/Maritime_Health_Research_and_Education-NET/The_International_Type_2_Diabetes_Mellitus_and_Hypertension_Research_Group#The_John_Snow_Institute </ref><ref name=":0"> https://www.dropbox.com/scl/fi/mw7ft423lkkpjoxywd2bf </ref></big> <big>4. '''Prediabetes-Remission Research Network:'''</big> <small>Cordinator and Director MBA Christian Acheampong, Turkey, Prof. Magda Medir Mb, Spain, Prof. Ing. MSc. Nailet Delgado; Prof. Dr. Olaf Jensen, MD, PhD, o147248@gmail.com; MSc.Ph.D. Bishal Gyawali Prof. SDU; MSc.PhD Vivi Just-Nørregaard; Dr. Johan Hviid Andersen MD, PhD. Prof Århus University; Prof. MSc. Agnes Flores, UMECIT, Panama; Dr. Maite, Vacamonte, Panama; Bruno Nørdam, Randers; Dr. Maite Duque, Venezuela; Dr. Indira Santos Panama; Med.Stud. Ashley Lezcano, Panama; Dr. Joseph Abesamis MD Filippines; Dr. Jen Mendoza, MD, Filippines; Dr. Andra Ergle MD, Latvia; Prof. MSc. Ingrid Morató, Tarragona/Cadiz, Spain; Dr. Alejandro Martinez, MPH, Costa Rica; Dr. Med. Sci Finn Gyntelberg; NFA.and Bispebj. Hosp. Denmark</small> ==References== <references /> [[Category:Prediabetes ]]Education 1: Research Methodology <ref>https://en.wikiversity.org/wiki/Maritime_Health_Research_and_Education-NET/EDUCATION/Education_module_links</ref> <references /> tdipngbeqnfmikcpgk38jvw601g39wn 2 330941 2821134 2820633 2026-08-09T07:54:24Z U3269672 3105208 2821134 wikitext text/x-wiki {{title|Akrasia:<br>Why do people act against their better judgement?}} <div align=center>Edit the title and sub-title to match the wording (and casing) in the [[Motivation and emotion/Book/2025|2026 list of topics]].<br>[[Motivation and emotion/About/Staff|Seek approval]] for any changes.<br>Do not include your name (authorship is as per [[Special:History/{{PAGENAME}}|the page history]]).</div> __TOC__ ==Overview== {{RoundBoxTop|theme=3}} [[File:A picture is worth a thousand words.jpg|right|thumb|150px|'''Figure 1'''. Use a captioned image to illustrate the scenario]] ; Imagine this ... or Scenario ... or Case study or ... ?) Start with an engaging [[#Scenarios|scenario, example, or case study]] which illustrates the problem and engages reader interest. Present the scenario in a [[#Feature box|feature box]]. To change the box colour: # Edit source # Change "theme=3" to another number Include an image and cite it (e.g., see Figure 1). {{RoundBoxBottom}} The Overview section should provide: # '''Scenario''': A short, engaging case study or real-world example in a feature box, with an accompanying image (see above) # '''Explanation of the problem, issue, or topc''': Briefly explain the problem, why it is important, and outline how psychological science can help # '''Focus questions''': Unpack the sub-title into focus questions in a feature box Recommended length: 180 to 330 words. This template provides key headings, examples, and tips for each section. Gradually remove this generic information as the chapter develops. It is OK to retain some of the template material for the topic development, but it should all be removed for the final book chapter. Key resources: * [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 02]] explains about how to edit * [[Motivation and emotion/Assessment/Topic|Topic development guidelines]] * [[Motivation and emotion/Assessment/Chapter|Book chapter guidelines]] {{RoundBoxTop|theme=3}} '''Focus questions''' Break the sub-title down into three to five [[Motivation and emotion/Assessment/Chapter/Focus questions|focus questions]]. Align the top-level headings with these focus questions. * What is the first focus question? * What is the second focus question? * What is the third focus question? Ask [[w:Open-ended question|open-ended]] focus questions. For example: * Is there a relationship between weather and criminal behaviour? (closed-ended) * What is the relationship between weather and criminal behaviour? (open-ended) {{RoundBoxBottom}} ==Headings== Use this heading structure: * [[#Overview|Overview]] * 3 to 6 major headings tailored to the topic; can have sub-headings, but: ** avoid having only one sub-heading ** provide an introductory paragraph before breaking into sub-sections * [[#Conclusion|Conclusion]] * See also * References * External links ==Key points== For the topic development, for each heading and sub-heading: * Provide at least three bullet-points, including for the Overview and Conclusion * Include key citations ==Figures== [[File:Thought bubble.svg|right|140px|thumb|'''Figure 2'''. Example of an image with a descriptive caption.]] * Use figures to illustrate concepts, add interest, and to serve as examples * Figures can show photos, diagrams, graphs, video, audio, etc. * Embed figures throughout the chapter, starting with the scenario in the Overview section * Caption figures (use '''Figure #'''. and explain the relevance of the image to the text) * Images must be embedded from [[commons:|Wikimedia Commons]] * Images can be uploaded to [[commons:|Wikimedia Commons]] if they are openly licensed * Cite each figure at least once in the main text (e.g., see Figure 2) ==Learning features== Interactive learning features help to bring book chapters to life and can be embedded throughout the chapter. {{anchor|Scenarios}} ;Scenarios * Scenarios, case studies, or examples describe concepts in action * Can be real or fictional; if real, provide citations * Can be split into multiple boxes throughout a chapter (e.g., to illustrate different theories or stages) * Present using [[#Feature boxes|feature boxes]] {{anchor|Feature box}} ;Feature boxes * Highlight key content using [[Motivation and emotion/Wikiversity/Feature box|feature boxes]], but don't overuse, otherwise they lose their effect * Consider using feature boxes for: ** [[#Scenarios|Scenarios]], case studies, or examples ** Focus questions ** Tips ** Quiz questions ** Take-home messages ;Embedded links * When key words are introduced, use [[Help:Links|interwiki links]] to: ** Wikipedia articles (e.g., "An early psychological view [[w:Dreams|dreams]]) of dreams was provided by [[w:Sigmund Freud|Sigmund Freud]]") or ** Related book chapters (e.g., "If you're feeling stuck, check out the chapter about [[Motivation and emotion/Book/2020/Writer's block|writer's block]]") {{anchor|Tables}} ;Tables * Use to tables to organise and summarise information * Cite each table at least once in the main text (e.g., see Table 1) * Tables should be captioned * [[Motivation and emotion/Wikiversity/Tables|More example tables]] which can be adapted '''Table 1''' A Descriptive Caption Which Explains The Table Contents and its Relevance to the Text e.g., The 2 x 2 Johari Window Model Showing Knowing x Self/Other {| class="wikitable" style="margin: auto; |- ! !! Known to self !! Not known to self |- | '''Known to others''' || Open area || Blind spot |- | '''Not known to others''' || Hidden area || Unknown |} ;Quizzes * Using one or two quiz questions for each main section is better than a long quiz at the end * Quiz ''conceptual'' understanding, rather than trivia. Ask about important information such as take-home messages * Ask easy rather than hard questions * Different types of quiz questions are possible; see [[Help:Quiz|Quiz]] Example simple quiz questions. Choose your answers and click "Submit": <quiz display=simple> {The purpose of quizzes is to provide an interactive learning feature: |type="()"} + True - False {Long and complex quiz questions are recommended: |type="()"} - True + False </quiz> ==Conclusion== * The Conclusion is arguably the most important section * Draft clear take-home message(s), even at the topic development stage * Together, the [[#Overview|Overview]] and Conclusion should summarise the problem, its significance, and how psychological science contributes to understanding and addressing it * Recommended length: 150 to 330 words {{tip|Suggestions for this section: * What is the answer to the sub-title question based on psychological theory and research? * What are the answers to the focus questions? * What are the practical, take-home messages? }} ==See also== Provide [[Help:Contents/Links#Interwiki_links|internal (wiki) links]] to the most relevant Wikiversity pages (esp. related [[Motivation and emotion/Book|motivation and emotion book chapters]]) and [[w:|Wikipedia articles]]. Use [[w:Letter case#Sentence casing|sentence casing]] and alphabetical order. For example: * [[Motivation and emotion/Book/About/Collaborative authoring using wiki|Collaborative authoring using wiki]] (Wikiversity) * [[Motivation and emotion/Book/2021/Light triad|Light triad]] (Book chapter, 2021) * [[w:Self determination theory|Self determination theory]] (Wikipedia) {{tip|Suggestions for this section: * Only select links to major internal resources about the topic * Include the source in parentheses }} ==References== This section lists the cited references in [[w:APA style|APA style]] (7th ed.) or [[w:Wikipedia:Citing sources|wiki style]]. APA style example: {{Hanging indent|1= Rosenberg, B. D., & Siegel, J. T. (2018). A 50-year review of psychological reactance theory: Do not read this article. ''Motivation Science'', ''4''(4), 281–300. https://doi.org/10.1037/mot0000091 Sacks, O. (1985). ''The man who mistook his wife for a hat and other clinical tales''. Harper & Row. }} {{tip|Suggestions for this section: * Wrap the set of references in the [[Template:Hanging indent|hanging indent template]]: ** Use "Edit source" ** <nowiki>{{Hanging indent|1= the full list of references}}</nowiki> * Important aspects of APA referencing style ** Author surname, followed by a comma, then the author initials separated by full stops and spaces ** Year of publication in parentheses ** Title of work in lower case (except first letter and proper names), ending in a full-stop ** Journal title in italics, volume number in italics, issue number in parentheses, first and last page numbers separated by an en-dash(–), followed by a full-stop ** doi as a URL which is a working hyperlink (i.e., clickable) * The most common mistakes include: ** Incorrect capitalisation ** Incorrect italicisation ** dois which aren't clickable as working hyperlinks ** Citing sources that haven't been consulted }} ==External links== Provide [[Help:Contents/Links#External_links|external links]] to highly relevant resources such as podcasts and videos, news articles, and professional sites. Use [[w:Letter case#Sentence casing|sentence casing]] and alphabetical order. For example: * [https://students.unimelb.edu.au/academic-skills/explore-our-resources/essay-writing/six-top-tips-for-writing-a-great-essay Six top tips for writing a great essay] (University of Melbourne) * [http://www.skillsyouneed.com/write/structure.html The importance of structure] (skillsyouneed.com) {{tip|Suggestions for this section: * Only select links to major external resources about the topic * Include the source in parentheses after the link }} [[Category:{{#titleparts:{{PAGENAME}}|3}}]]. n1pvwyqzls36d9bhdd4rjmnthqkbl3i 2821135 2821134 2026-08-09T07:55:06Z U3269672 3105208 2821135 wikitext text/x-wiki {{title|Akrasia:<br>Why do people act against their better judgement?}} __TOC__ ==Overview== {{RoundBoxTop|theme=3}} [[File:A picture is worth a thousand words.jpg|right|thumb|150px|'''Figure 1'''. Use a captioned image to illustrate the scenario]] ; Imagine this ... or Scenario ... or Case study or ... ?) Start with an engaging [[#Scenarios|scenario, example, or case study]] which illustrates the problem and engages reader interest. Present the scenario in a [[#Feature box|feature box]]. To change the box colour: # Edit source # Change "theme=3" to another number Include an image and cite it (e.g., see Figure 1). {{RoundBoxBottom}} The Overview section should provide: # '''Scenario''': A short, engaging case study or real-world example in a feature box, with an accompanying image (see above) # '''Explanation of the problem, issue, or topc''': Briefly explain the problem, why it is important, and outline how psychological science can help # '''Focus questions''': Unpack the sub-title into focus questions in a feature box Recommended length: 180 to 330 words. This template provides key headings, examples, and tips for each section. Gradually remove this generic information as the chapter develops. It is OK to retain some of the template material for the topic development, but it should all be removed for the final book chapter. Key resources: * [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 02]] explains about how to edit * [[Motivation and emotion/Assessment/Topic|Topic development guidelines]] * [[Motivation and emotion/Assessment/Chapter|Book chapter guidelines]] {{RoundBoxTop|theme=3}} '''Focus questions''' Break the sub-title down into three to five [[Motivation and emotion/Assessment/Chapter/Focus questions|focus questions]]. Align the top-level headings with these focus questions. * What is the first focus question? * What is the second focus question? * What is the third focus question? Ask [[w:Open-ended question|open-ended]] focus questions. For example: * Is there a relationship between weather and criminal behaviour? (closed-ended) * What is the relationship between weather and criminal behaviour? (open-ended) {{RoundBoxBottom}} ==Headings== Use this heading structure: * [[#Overview|Overview]] * 3 to 6 major headings tailored to the topic; can have sub-headings, but: ** avoid having only one sub-heading ** provide an introductory paragraph before breaking into sub-sections * [[#Conclusion|Conclusion]] * See also * References * External links ==Key points== For the topic development, for each heading and sub-heading: * Provide at least three bullet-points, including for the Overview and Conclusion * Include key citations ==Figures== [[File:Thought bubble.svg|right|140px|thumb|'''Figure 2'''. Example of an image with a descriptive caption.]] * Use figures to illustrate concepts, add interest, and to serve as examples * Figures can show photos, diagrams, graphs, video, audio, etc. * Embed figures throughout the chapter, starting with the scenario in the Overview section * Caption figures (use '''Figure #'''. and explain the relevance of the image to the text) * Images must be embedded from [[commons:|Wikimedia Commons]] * Images can be uploaded to [[commons:|Wikimedia Commons]] if they are openly licensed * Cite each figure at least once in the main text (e.g., see Figure 2) ==Learning features== Interactive learning features help to bring book chapters to life and can be embedded throughout the chapter. {{anchor|Scenarios}} ;Scenarios * Scenarios, case studies, or examples describe concepts in action * Can be real or fictional; if real, provide citations * Can be split into multiple boxes throughout a chapter (e.g., to illustrate different theories or stages) * Present using [[#Feature boxes|feature boxes]] {{anchor|Feature box}} ;Feature boxes * Highlight key content using [[Motivation and emotion/Wikiversity/Feature box|feature boxes]], but don't overuse, otherwise they lose their effect * Consider using feature boxes for: ** [[#Scenarios|Scenarios]], case studies, or examples ** Focus questions ** Tips ** Quiz questions ** Take-home messages ;Embedded links * When key words are introduced, use [[Help:Links|interwiki links]] to: ** Wikipedia articles (e.g., "An early psychological view [[w:Dreams|dreams]]) of dreams was provided by [[w:Sigmund Freud|Sigmund Freud]]") or ** Related book chapters (e.g., "If you're feeling stuck, check out the chapter about [[Motivation and emotion/Book/2020/Writer's block|writer's block]]") {{anchor|Tables}} ;Tables * Use to tables to organise and summarise information * Cite each table at least once in the main text (e.g., see Table 1) * Tables should be captioned * [[Motivation and emotion/Wikiversity/Tables|More example tables]] which can be adapted '''Table 1''' A Descriptive Caption Which Explains The Table Contents and its Relevance to the Text e.g., The 2 x 2 Johari Window Model Showing Knowing x Self/Other {| class="wikitable" style="margin: auto; |- ! !! Known to self !! Not known to self |- | '''Known to others''' || Open area || Blind spot |- | '''Not known to others''' || Hidden area || Unknown |} ;Quizzes * Using one or two quiz questions for each main section is better than a long quiz at the end * Quiz ''conceptual'' understanding, rather than trivia. Ask about important information such as take-home messages * Ask easy rather than hard questions * Different types of quiz questions are possible; see [[Help:Quiz|Quiz]] Example simple quiz questions. Choose your answers and click "Submit": <quiz display=simple> {The purpose of quizzes is to provide an interactive learning feature: |type="()"} + True - False {Long and complex quiz questions are recommended: |type="()"} - True + False </quiz> ==Conclusion== * The Conclusion is arguably the most important section * Draft clear take-home message(s), even at the topic development stage * Together, the [[#Overview|Overview]] and Conclusion should summarise the problem, its significance, and how psychological science contributes to understanding and addressing it * Recommended length: 150 to 330 words {{tip|Suggestions for this section: * What is the answer to the sub-title question based on psychological theory and research? * What are the answers to the focus questions? * What are the practical, take-home messages? }} ==See also== Provide [[Help:Contents/Links#Interwiki_links|internal (wiki) links]] to the most relevant Wikiversity pages (esp. related [[Motivation and emotion/Book|motivation and emotion book chapters]]) and [[w:|Wikipedia articles]]. Use [[w:Letter case#Sentence casing|sentence casing]] and alphabetical order. For example: * [[Motivation and emotion/Book/About/Collaborative authoring using wiki|Collaborative authoring using wiki]] (Wikiversity) * [[Motivation and emotion/Book/2021/Light triad|Light triad]] (Book chapter, 2021) * [[w:Self determination theory|Self determination theory]] (Wikipedia) {{tip|Suggestions for this section: * Only select links to major internal resources about the topic * Include the source in parentheses }} ==References== This section lists the cited references in [[w:APA style|APA style]] (7th ed.) or [[w:Wikipedia:Citing sources|wiki style]]. APA style example: {{Hanging indent|1= Rosenberg, B. D., & Siegel, J. T. (2018). A 50-year review of psychological reactance theory: Do not read this article. ''Motivation Science'', ''4''(4), 281–300. https://doi.org/10.1037/mot0000091 Sacks, O. (1985). ''The man who mistook his wife for a hat and other clinical tales''. Harper & Row. }} {{tip|Suggestions for this section: * Wrap the set of references in the [[Template:Hanging indent|hanging indent template]]: ** Use "Edit source" ** <nowiki>{{Hanging indent|1= the full list of references}}</nowiki> * Important aspects of APA referencing style ** Author surname, followed by a comma, then the author initials separated by full stops and spaces ** Year of publication in parentheses ** Title of work in lower case (except first letter and proper names), ending in a full-stop ** Journal title in italics, volume number in italics, issue number in parentheses, first and last page numbers separated by an en-dash(–), followed by a full-stop ** doi as a URL which is a working hyperlink (i.e., clickable) * The most common mistakes include: ** Incorrect capitalisation ** Incorrect italicisation ** dois which aren't clickable as working hyperlinks ** Citing sources that haven't been consulted }} ==External links== Provide [[Help:Contents/Links#External_links|external links]] to highly relevant resources such as podcasts and videos, news articles, and professional sites. Use [[w:Letter case#Sentence casing|sentence casing]] and alphabetical order. For example: * [https://students.unimelb.edu.au/academic-skills/explore-our-resources/essay-writing/six-top-tips-for-writing-a-great-essay Six top tips for writing a great essay] (University of Melbourne) * [http://www.skillsyouneed.com/write/structure.html The importance of structure] (skillsyouneed.com) {{tip|Suggestions for this section: * Only select links to major external resources about the topic * Include the source in parentheses after the link }} [[Category:{{#titleparts:{{PAGENAME}}|3}}]]. p1y8bqfbhfxl4n89et1vui5znf16j10 2821137 2821135 2026-08-09T08:19:51Z U3269672 3105208 2821137 wikitext text/x-wiki {{title|Akrasia:<br>Why do people act against their better judgement?}} __TOC__ ==Overview== {{RoundBoxTop|theme=3}} [[File:A picture is worth a thousand words.jpg|right|thumb|150px|'''Figure 1'''. Use a captioned image to illustrate the scenario]] ; Imagine this ... or Scenario ... or Case study or ... ?) Start with an engaging [[#Scenarios|scenario, example, or case study]] which illustrates the problem and engages reader interest. Present the scenario in a [[#Feature box|feature box]]. To change the box colour: # Edit source # Change "theme=3" to another number Include an image and cite it (e.g., see Figure 1). {{RoundBoxBottom}} The Overview section should provide: # '''Scenario''': A short, engaging case study or real-world example in a feature box, with an accompanying image (see above) # '''Explanation of the problem, issue, or topc''': Briefly explain the problem, why it is important, and outline how psychological science can help # '''Focus questions''': Unpack the sub-title into focus questions in a feature box Recommended length: 180 to 330 words. This template provides key headings, examples, and tips for each section. Gradually remove this generic information as the chapter develops. It is OK to retain some of the template material for the topic development, but it should all be removed for the final book chapter. Key resources: * [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 02]] explains about how to edit * [[Motivation and emotion/Assessment/Topic|Topic development guidelines]] * [[Motivation and emotion/Assessment/Chapter|Book chapter guidelines]] {{RoundBoxTop|theme=3}} '''Focus questions''' Break the sub-title down into three to five [[Motivation and emotion/Assessment/Chapter/Focus questions|focus questions]]. Align the top-level headings with these focus questions. * What is the first focus question? * What is the second focus question? * What is the third focus question? Ask [[w:Open-ended question|open-ended]] focus questions. For example: * Is there a relationship between weather and criminal behaviour? (closed-ended) * What is the relationship between weather and criminal behaviour? (open-ended) {{RoundBoxBottom}} ==Headings== Use this heading structure: * [[#Overview|Overview]] * 3 to 6 major headings tailored to the topic; can have sub-headings, but: ** avoid having only one sub-heading ** provide an introductory paragraph before breaking into sub-sections * [[#Conclusion|Conclusion]] * See also * References * External links ==Key points== For the topic development, for each heading and sub-heading: * Provide at least three bullet-points, including for the Overview and Conclusion * Include key citations == Akrasia == - General definition/introduction == Akrasia as a motivational and emotional conflict == '''Overview/introduction to argument'''; Explain how akrasia arises from competing internal processes. Discuss the tension between long‑term goals and short‑term impulses. Introduce the idea that akrasia is not simply “laziness” but a predictable psychological phenomenon. === Modelling the conceptual relationship === * Provide a model '''Evidence of facilitative relationship''' == Self‑regulation and self‑control == Explain how failures in self‑regulation contribute to akrasia. Discuss ego depletion, temporal discounting, and implementation intentions. Provide examples of how these processes play out in everyday life. add figure / model == Motivational theories == Explain how motivational deficits or conflicts lead to akrasia. Discuss self‑determination theory, expectancy‑value theory, and goal‑setting theory. Show how motivation quality affects the likelihood of acting in line with long‑term goals. add figure / model == Emotion and akrasia == Explain how emotional avoidance, anxiety, and affect regulation influence decisions. Discuss how people often choose short‑term emotional relief over long‑term outcomes. add figure / model ==Figures== [[File:Thought bubble.svg|right|140px|thumb|'''Figure 2'''. Example of an image with a descriptive caption.]] * Use figures to illustrate concepts, add interest, and to serve as examples * Figures can show photos, diagrams, graphs, video, audio, etc. * Embed figures throughout the chapter, starting with the scenario in the Overview section * Caption figures (use '''Figure #'''. and explain the relevance of the image to the text) * Images must be embedded from [[commons:|Wikimedia Commons]] * Images can be uploaded to [[commons:|Wikimedia Commons]] if they are openly licensed * Cite each figure at least once in the main text (e.g., see Figure 2) ==Learning features== Interactive learning features help to bring book chapters to life and can be embedded throughout the chapter. {{anchor|Scenarios}} ;Scenarios * Scenarios, case studies, or examples describe concepts in action * Can be real or fictional; if real, provide citations * Can be split into multiple boxes throughout a chapter (e.g., to illustrate different theories or stages) * Present using [[#Feature boxes|feature boxes]] {{anchor|Feature box}} ;Feature boxes * Highlight key content using [[Motivation and emotion/Wikiversity/Feature box|feature boxes]], but don't overuse, otherwise they lose their effect * Consider using feature boxes for: ** [[#Scenarios|Scenarios]], case studies, or examples ** Focus questions ** Tips ** Quiz questions ** Take-home messages ;Embedded links * When key words are introduced, use [[Help:Links|interwiki links]] to: ** Wikipedia articles (e.g., "An early psychological view [[w:Dreams|dreams]]) of dreams was provided by [[w:Sigmund Freud|Sigmund Freud]]") or ** Related book chapters (e.g., "If you're feeling stuck, check out the chapter about [[Motivation and emotion/Book/2020/Writer's block|writer's block]]") {{anchor|Tables}} ;Tables * Use to tables to organise and summarise information * Cite each table at least once in the main text (e.g., see Table 1) * Tables should be captioned * [[Motivation and emotion/Wikiversity/Tables|More example tables]] which can be adapted '''Table 1''' A Descriptive Caption Which Explains The Table Contents and its Relevance to the Text e.g., The 2 x 2 Johari Window Model Showing Knowing x Self/Other {| class="wikitable" style="margin: auto; |- ! !! Known to self !! Not known to self |- | '''Known to others''' || Open area || Blind spot |- | '''Not known to others''' || Hidden area || Unknown |} ;Quizzes * Using one or two quiz questions for each main section is better than a long quiz at the end * Quiz ''conceptual'' understanding, rather than trivia. Ask about important information such as take-home messages * Ask easy rather than hard questions * Different types of quiz questions are possible; see [[Help:Quiz|Quiz]] Example simple quiz questions. Choose your answers and click "Submit": <quiz display=simple> {The purpose of quizzes is to provide an interactive learning feature: |type="()"} + True - False {Long and complex quiz questions are recommended: |type="()"} - True + False </quiz> ==Conclusion== * The Conclusion is arguably the most important section * Draft clear take-home message(s), even at the topic development stage * Together, the [[#Overview|Overview]] and Conclusion should summarise the problem, its significance, and how psychological science contributes to understanding and addressing it * Recommended length: 150 to 330 words {{tip|Suggestions for this section: * What is the answer to the sub-title question based on psychological theory and research? * What are the answers to the focus questions? * What are the practical, take-home messages? }} ==See also== Provide [[Help:Contents/Links#Interwiki_links|internal (wiki) links]] to the most relevant Wikiversity pages (esp. related [[Motivation and emotion/Book|motivation and emotion book chapters]]) and [[w:|Wikipedia articles]]. Use [[w:Letter case#Sentence casing|sentence casing]] and alphabetical order. For example: * [[Motivation and emotion/Book/About/Collaborative authoring using wiki|Collaborative authoring using wiki]] (Wikiversity) * [[Motivation and emotion/Book/2021/Light triad|Light triad]] (Book chapter, 2021) * [[w:Self determination theory|Self determination theory]] (Wikipedia) {{tip|Suggestions for this section: * Only select links to major internal resources about the topic * Include the source in parentheses }} ==References== This section lists the cited references in [[w:APA style|APA style]] (7th ed.) or [[w:Wikipedia:Citing sources|wiki style]]. APA style example: {{Hanging indent|1= Rosenberg, B. D., & Siegel, J. T. (2018). A 50-year review of psychological reactance theory: Do not read this article. ''Motivation Science'', ''4''(4), 281–300. https://doi.org/10.1037/mot0000091 Sacks, O. (1985). ''The man who mistook his wife for a hat and other clinical tales''. Harper & Row. }} {{tip|Suggestions for this section: * Wrap the set of references in the [[Template:Hanging indent|hanging indent template]]: ** Use "Edit source" ** <nowiki>{{Hanging indent|1= the full list of references}}</nowiki> * Important aspects of APA referencing style ** Author surname, followed by a comma, then the author initials separated by full stops and spaces ** Year of publication in parentheses ** Title of work in lower case (except first letter and proper names), ending in a full-stop ** Journal title in italics, volume number in italics, issue number in parentheses, first and last page numbers separated by an en-dash(–), followed by a full-stop ** doi as a URL which is a working hyperlink (i.e., clickable) * The most common mistakes include: ** Incorrect capitalisation ** Incorrect italicisation ** dois which aren't clickable as working hyperlinks ** Citing sources that haven't been consulted }} ==External links== Provide [[Help:Contents/Links#External_links|external links]] to highly relevant resources such as podcasts and videos, news articles, and professional sites. Use [[w:Letter case#Sentence casing|sentence casing]] and alphabetical order. For example: * [https://students.unimelb.edu.au/academic-skills/explore-our-resources/essay-writing/six-top-tips-for-writing-a-great-essay Six top tips for writing a great essay] (University of Melbourne) * [http://www.skillsyouneed.com/write/structure.html The importance of structure] (skillsyouneed.com) {{tip|Suggestions for this section: * Only select links to major external resources about the topic * Include the source in parentheses after the link }} [[Category:{{#titleparts:{{PAGENAME}}|3}}]]. arh8espzxq66fpu5x0rvn03kamaj2p8 6 330970 2821067 2820918 2026-08-08T14:04:39Z Young1lim 21186 /* Summary */ 2821067 wikitext text/x-wiki == Summary == {{Information |Description=Carry Lookahead Adders 2C Multi-Level (20260806 - 20260805) |Source={{own|Young1lim}} |Date=2026-08-07 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} == Licensing == {{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} ksy5bulytscgfrd5drpa3clzu9e2wh7 6 330978 2821066 2026-08-08T14:03:41Z Young1lim 21186 {{Information |Description=Carry Lookahead Adders 2B Single Level (20260807 - 20260806) |Source={{own|Young1lim}} |Date=2026-08-08 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2821066 wikitext text/x-wiki == Summary == {{Information |Description=Carry Lookahead Adders 2B Single Level (20260807 - 20260806) |Source={{own|Young1lim}} |Date=2026-08-08 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} == Licensing == {{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} 5ybd656914s8jamektxqbfucfq6lc3n 2821072 2821066 2026-08-08T14:08:25Z Young1lim 21186 /* Summary */ 2821072 wikitext text/x-wiki == Summary == {Information |Description=C04.SA0: Address and Dereference Operators (20260807 - 20260806) wrong file |Source={{own|Young1lim}} |Date=2026-08-08 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} == Licensing == {{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} 2n5mv7f4fdjn8wb9kxyqu4hs9d40ya3 6 330979 2821068 2026-08-08T14:04:56Z Young1lim 21186 {{Information |Description=Carry Lookahead Adders 2C Multi-Level (20260807 - 20260806) |Source={{own|Young1lim}} |Date=2026-08-08 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2821068 wikitext text/x-wiki == Summary == {{Information |Description=Carry Lookahead Adders 2C Multi-Level (20260807 - 20260806) |Source={{own|Young1lim}} |Date=2026-08-08 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} == Licensing == {{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} th5cobnnpohnzr7aihmii9d7lgakgi3 6 330980 2821071 2026-08-08T14:07:41Z Young1lim 21186 {{Information |Description=Carry Lookahead Adders 2B Single Level (20260807 - 20260806) |Source={{own|Young1lim}} |Date=2026-08-08 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2821071 wikitext text/x-wiki == Summary == {{Information |Description=Carry Lookahead Adders 2B Single Level (20260807 - 20260806) |Source={{own|Young1lim}} |Date=2026-08-08 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} == Licensing == {{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} 5ybd656914s8jamektxqbfucfq6lc3n 6 330981 2821073 2026-08-08T14:08:47Z Young1lim 21186 {Information |Description=C04.SA0: Address and Dereference Operators (20260807 - 20260806) |Source={{own|Young1lim}} |Date=2026-08-08 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2821073 wikitext text/x-wiki == Summary == {Information |Description=C04.SA0: Address and Dereference Operators (20260807 - 20260806) |Source={{own|Young1lim}} |Date=2026-08-08 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} == Licensing == {{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} sinqjbvims2rn6tbjlq81gtwnwawokg 6 330982 2821075 2026-08-08T14:14:50Z Young1lim 21186 {{Information |Description=Laurent.5: Permutation 6C (20260807 - 20260806) |Source={{own|Young1lim}} |Date=2026-08-08 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2821075 wikitext text/x-wiki == Summary == {{Information |Description=Laurent.5: Permutation 6C (20260807 - 20260806) |Source={{own|Young1lim}} |Date=2026-08-08 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} == Licensing == {{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} p2garz1zdhbmgnzpr816t1bmpiic6k8 2 330983 2821076 2026-08-08T16:32:34Z UnknownMindXD 3106026 /* */ 2821076 wikitext text/x-wiki Experiment: Self - realisation. 2rziv3kh68ordaox3uyk5zzbs6825x6 3 330984 2821131 2026-08-09T05:02:48Z Jtneill 10242 Created page with "{{subst:Welcomeip}}" 2821131 wikitext text/x-wiki {{#ifeq:{{NAMESPACE}}|User talk||{{error|Error: substitution required. Use <nowiki>{{subst:Welcomeip}}</nowiki> instead.}}[[Category:Template substitution errors]]<div style="display:none;">}}{{Robelbox|theme=9|title=Welcome!|width=100%}} <div style="{{Robelbox/pad}}"> Hello, and [[Wikiversity:Welcome, newcomers|welcome]] to [[Wikiversity]]. Thank you for your contributions. Currently, you are [[Help:Editing|editing]] without a permanent account. You can continue to do so, as you are not required to log in to Wikiversity to read and edit articles; however, logging in will result in a username being shown instead of a temporary account (which will expire 90 days after first edit). Logging in does not require any personal details, and there are many other '''[[Wikiversity:Why create an account|benefits for logging in]]'''. When you edit pages: * Please [[Wikiversity:Copyrights|respect others' copyrights]]; do not copy and paste the contents from webpages directly. * Please use a [[Wikiversity:Disclosures|neutral point of view]] when editing articles. * If you are testing, please use the [[Wikiversity:Sandbox|Sandbox]] to <span class="plainlinks">[http://en.wikiversity.org/w/index.php?title=Wikiversity:Sandbox&action=edit do so].</span> * Do not add unreasonable contents into any [[Wikiversity:Browse|articles]], such as copyrighted text, advertisement messages, and text that is not related to an areas's subject. Adding such content or editing articles maliciously is considered [[Wikiversity:Blocking policy|vandalism]]. The [[Wikiversity:Introduction|Introduction]] is a good place to start learning about Wikiversity. For now, if you are stuck, you can ask a question on {{#if:|[[user talk:{{{1}}}|my Talk page]]|my Talk page}}. I will answer your questions as far as I can! Thank you again for contributing to Wikiversity. -- -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 05:02, 9 August 2026 (UTC) </div> {{Robelbox/close}} {{#ifeq:{{NAMESPACE}}|User talk||</div>}} gu5tpm01xrzyhec5eu1zse1cr4z0dfz 3 330985 2821141 2026-08-09T11:24:13Z MathXplore 2888076 vandalism1 ([[m:User:ZbVl/VD|Vandoom]]) 2821141 wikitext text/x-wiki == 2026-08-09 == [[File:Information.svg|25px|alt=Information icon]] Hello, I’m letting you know that one or more of your recent contributions have been reverted because they did not appear constructive. If you would like to experiment, please use the [[Wikiversity:Sandbox|sandbox]] or ask for assistance at the [[Wikiversity:Colloquium|Colloquium]]. Thank you.<!-- Glow-vandalism1 @ 1786274646906s --><nowiki></nowiki> [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 11:24, 9 August 2026 (UTC) sjkpa7bpazfjj7eticwdtvuvy4g0vy1