{"id":"https://openalex.org/W7225323511","doi":"https://doi.org/10.5281/zenodo.23987510","title":"Spacetime As An Agreement","display_name":"Spacetime As An Agreement","publication_year":2026,"publication_date":"2026-11-05","ids":{"openalex":"https://openalex.org/W7225323511","doi":"https://doi.org/10.5281/zenodo.23987510"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23987510","doi":"https://doi.org/10.5281/zenodo.23987510","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23987510","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23987510","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133859422","display_name":"James Johan Sebastian Allen","orcid":"https://orcid.org/0009-0009-9594-6803","observed_orcids":["https://orcid.org/0009-0009-9594-6803"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Allen, James Johan Sebastian","raw_affiliation_strings":["Pattern Field Theory"],"raw_orcid":"https://orcid.org/0009-0009-9594-6803","affiliations":[{"raw_affiliation_string":"Pattern Field Theory","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5133859422"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spacetime","display_name":"spacetime","score":0.9110000133514404},{"id":"https://openalex.org/keywords/luminiferous-aether","display_name":"aether","score":0.8529999852180481},{"id":"https://openalex.org/keywords/special-relativity","display_name":"special relativity","score":0.7419999837875366},{"id":"https://openalex.org/keywords/general-relativity","display_name":"general relativity","score":1.0},{"id":"https://openalex.org/keywords/lorentz","display_name":"Lorentz","score":0.7049999833106995},{"id":"https://openalex.org/keywords/henri-poincare","display_name":"Henri Poincar\u00e9","score":0.9660000205039978},{"id":"https://openalex.org/keywords/albert-einstein","display_name":"Albert Einstein","score":0.8980000019073486},{"id":"https://openalex.org/keywords/hermann-minkowski","display_name":"Minkowski","score":0.9879999756813049},{"id":"https://openalex.org/keywords/problem-of-time","display_name":"problem of time","score":0.6470000147819519},{"id":"https://openalex.org/keywords/spacetime-interval","display_name":"spacetime interval","score":0.7839999794960022},{"id":"https://openalex.org/keywords/metric-tensor","display_name":"metric tensor","score":0.9850000143051147},{"id":"https://openalex.org/keywords/dimensionality","display_name":"dimensionality","score":0.4350000023841858},{"id":"https://openalex.org/keywords/light-propagation","display_name":"light propagation","score":0.3889999985694885},{"id":"https://openalex.org/keywords/history-of-relativity","display_name":"history of relativity","score":0.6790000200271606}],"concepts":[{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.6797999739646912},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.5598000288009644},{"id":"https://openalex.org/C149324446","wikidata":"https://www.wikidata.org/wiki/Q43514","display_name":"Theory of relativity","level":2,"score":0.49630001187324524},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.49459999799728394},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.4648999869823456},{"id":"https://openalex.org/C40422974","wikidata":"https://www.wikidata.org/wiki/Q741248","display_name":"Assertion","level":2,"score":0.45239999890327454},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.44449999928474426},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4253000020980835},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.42160001397132874},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.38499999046325684},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36149999499320984},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3596000075340271},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.3458999991416931},{"id":"https://openalex.org/C75195261","wikidata":"https://www.wikidata.org/wiki/Q945995","display_name":"Principle of relativity","level":4,"score":0.33550000190734863},{"id":"https://openalex.org/C89747612","wikidata":"https://www.wikidata.org/wiki/Q19314","display_name":"Absolute time and space","level":3,"score":0.3352999985218048},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3237999975681305},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2962999939918518},{"id":"https://openalex.org/C23134205","wikidata":"https://www.wikidata.org/wiki/Q11455","display_name":"Special relativity","level":3,"score":0.29350000619888306},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.2840999960899353},{"id":"https://openalex.org/C151602998","wikidata":"https://www.wikidata.org/wiki/Q485287","display_name":"Analytic continuation","level":2,"score":0.2840999960899353},{"id":"https://openalex.org/C96402334","wikidata":"https://www.wikidata.org/wiki/Q3030793","display_name":"Space time","level":2,"score":0.275299996137619},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C130327152","wikidata":"https://www.wikidata.org/wiki/Q748349","display_name":"Mathematical structure","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C2982717780","wikidata":"https://www.wikidata.org/wiki/Q107","display_name":"Physical space","level":2,"score":0.26489999890327454},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.262800008058548},{"id":"https://openalex.org/C4621756","wikidata":"https://www.wikidata.org/wiki/Q18344764","display_name":"Problem of time","level":4,"score":0.2567000091075897},{"id":"https://openalex.org/C2482559","wikidata":"https://www.wikidata.org/wiki/Q206330","display_name":"Objectivity (philosophy)","level":2,"score":0.25380000472068787},{"id":"https://openalex.org/C111806380","wikidata":"https://www.wikidata.org/wiki/Q81745","display_name":"Classical physics","level":3,"score":0.25290000438690186}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.5281/zenodo.23987510","doi":"https://doi.org/10.5281/zenodo.23987510","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23987510","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23987511","doi":"https://doi.org/10.5281/zenodo.23987511","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23987511","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24045845","doi":"https://doi.org/10.5281/zenodo.24045845","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24045845","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24095404","doi":"https://doi.org/10.5281/zenodo.24095404","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24095404","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23987510","doi":"https://doi.org/10.5281/zenodo.23987510","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23987510","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2779407462","https://openalex.org/W7127961967","https://openalex.org/W1969028028","https://openalex.org/W4377834105","https://openalex.org/W7052661856","https://openalex.org/W4221013171","https://openalex.org/W7128646239","https://openalex.org/W2060904289","https://openalex.org/W623631126","https://openalex.org/W7154664288"],"abstract_inverted_index":{"Spacetime":[0,166,782],"as":[1,26,66,224,252,296,363,783,876,962],"an":[2,67,225,297,489,784],"Agreement:":[3,167,785],"Native":[4,371,786],"Continuation":[5,787],"and":[6,28,30,55,101,103,122,148,187,196,276,281,307,320,349,357,385,408,415,440,450,477,504,511,519,532,547,563,593,602,620,625,647,667,677,712,719,743,758,761,788,794,802,816,827,851,864,872,893,903,911,929,941,970,991,1005,1011],"Manifest":[7,789],"Geometry":[8,790],"examines":[9,59,112],"one":[10],"of":[11,35,43,48,71,77,88,116,120,136,185,256,270,300,340,376,388,395,428,435,465,472,484,496,529,599,636,660,669,687,693,704,747,781,805,824,841,846,869,944,965,985,997],"the":[12,21,33,40,46,60,63,74,85,89,110,117,134,142,149,169,181,191,243,253,313,317,321,331,343,374,399,425,432,463,469,473,482,497,523,526,557,565,597,633,642,654,684,690,713,725,745,751,759,832,838,855,889,922,939,945,956,963,966,982],"most":[13],"fundamental":[14],"questions":[15],"in":[16,157,239,263,304,680,717,731,739],"physics:":[17],"what":[18,31],"physically":[19],"establishes":[20,84,699,921],"relations":[22,184,608],"that":[23,153,206,222,245,481,632,663,673],"we":[24],"measure":[25],"space":[27,121,207],"time,":[29,708],"carries":[32],"propagation":[34,72,178],"light?":[36],"The":[37,138,165,338,393,421,551,628,797,914,952,994],"paper":[38,552],"revisits":[39],"historical":[41,170,685,822],"development":[42],"relativity":[44,102,688],"through":[45,155,380,418,609,623,641,926],"contributions":[47,163,830],"Hendrik":[49],"Lorentz,":[50],"Henri":[51],"Poincar\u00e9,":[52],"Albert":[53],"Einstein":[54,675],"Hermann":[56],"Minkowski.":[57],"It":[58],"transition":[61,171],"from":[62,172,330,431,468,567,653,765,981,988],"luminiferous":[64],"ether":[65,100,209,223],"attempted":[68],"physical":[69,86,118,146,177,197,308,332,369,426,470,500,512,561,585,634,705,755,839,858,919,1006],"explanation":[70],"to":[73,180,236,368,443,488,525,542,813,831,888],"geometrical":[75,151,183,328,573,621,760,849],"structure":[76],"spacetime,":[78,1004],"questioning":[79],"whether":[80,127],"mathematical":[81,194,322,510,658,942],"invariance":[82],"alone":[83],"origin":[87,635],"processes":[90,333,566,643],"being":[91],"described.":[92],"Drawing":[93],"upon":[94],"Einstein's":[95,113,199,203,229,233,806],"1920":[96,204,807],"Leiden":[97,808],"address":[98],"on":[99,175,556],"his":[104,123,217,259,810],"1954":[105,234,811],"correspondence":[106],"with":[107,216,354,412,689],"Michele":[108,237,814],"Besso,":[109,238,815],"investigation":[111,139,524],"own":[114],"recognition":[115],"qualities":[119],"expressed":[124,417],"uncertainty":[125],"about":[126],"continuous":[128,246],"field":[129,247,721,874,905],"structures":[130,152,248,715],"could":[131],"ultimately":[132],"provide":[133],"foundation":[135,255],"physics.":[137],"then":[140,676],"develops":[141],"distinction":[143,192,344,856],"between":[144,193,324,345,401,559,754,857],"native":[145,346,402,505,543,591,847,883,918,989,998],"continuation":[147,407,546,595,646,920],"measurable":[150,616],"emerge":[154],"manifestation":[156,624,1007],"Pattern":[158,588,694,732,740,880,957],"Field":[159,534,589,695,733,737,741,771,881,958],"Theory":[160,742,959],"(PFT).":[161],"Principal":[162],"include:":[164],"Examines":[168,232,312,398,452],"explanations":[173],"based":[174],"a":[176,266,290,364,389,466,485,665,700],"medium":[179],"invariant":[182,314],"Special":[186],"General":[188,213,530,729,870],"Relativity,":[189,214],"identifying":[190,582],"description":[195,666],"construction.":[198,586],"Physical":[200,605],"Foundations:":[201],"Investigates":[202],"assertion":[205],"without":[208,580],"is":[210,631],"inconceivable":[211],"within":[212,879],"together":[215],"explicit":[218],"restriction":[219],"against":[220],"treating":[221],"ordinary":[226],"mechanical":[227],"medium.":[228],"Later":[230],"Doubts:":[231],"letter":[235,812],"which":[240,568],"he":[241],"acknowledged":[242],"possibility":[244],"might":[249],"be":[250,639],"insufficient":[251],"ultimate":[254],"physics,":[257],"including":[258,854],"gravitational":[260],"theory.":[261,722],"Lost":[262],"Translation?:":[264],"Provides":[265],"comparative":[267],"linguistic":[268],"examination":[269,804],"original":[271,818],"German":[272,819],"statements":[273],"by":[274,284],"Minkowski":[275],"Einstein,":[277],"established":[278,578],"English":[279],"translations,":[280],"independent":[282],"translations":[283,801],"James":[285,767],"Johan":[286,768],"Sebastian":[287,769],"Allen.":[288],"Swedish,":[289],"closely":[291],"related":[292],"Germanic":[293],"language,":[294],"serves":[295],"intermediate":[298],"language":[299],"comprehension,":[301],"revealing":[302],"distinctions":[303],"terminology,":[305,910],"emphasis":[306,555],"interpretation.":[309],"Geometrical":[310,478,502],"Invariance:":[311],"spacetime":[315,637,661,670,927],"interval,":[316],"metric":[318,900],"tensor":[319],"relationship":[323,400,753],"coordinate":[325,455],"descriptions,":[326],"distinguishing":[327,462,978],"consistency":[329],"responsible":[334,644],"for":[335,517,645,973],"observable":[336,446],"relations.":[337],"Problem":[339],"Time:":[341],"Establishes":[342],"successor":[347,381],"ordering":[348,375],"measured":[350,433,603,707,930],"duration.":[351,604],"PFT":[352,527,891],"begins":[353],"Identity,":[355],"Relation":[356],"Continuation,":[358],"while":[359,613,977],"time":[360],"enters":[361],"downstream":[362,548,877],"Mensural":[365,419,549,626,852,1003],"measurement":[366,840],"assigned":[367],"transitions.":[370],"Continuation:":[372],"Develops":[373],"admissible":[377,545,610],"relational":[378,429,594,691],"configurations":[379],"dependencies,":[382],"identity":[383,992],"inheritance":[384],"persistence,":[386],"independently":[387,581],"primitive":[390],"temporal":[391,618],"coordinate.":[392],"Emergence":[394],"Spatial":[396],"Geometry:":[397],"lateral":[403],"routing,":[404],"inherited":[405,499],"depth":[406],"three-dimensional":[409],"manifested":[410,486],"geometry,":[411,710,901],"spatial":[413,600,709],"separation":[414],"dimensionality":[416],"assignments.":[420],"Manifestation":[422],"Boundary:":[423],"Distinguishes":[424],"construction":[427],"states":[430],"quantities":[434],"velocity,":[436],"acceleration,":[437],"force,":[438],"distance":[439],"duration":[441],"used":[442,716],"describe":[444,458],"their":[445,583],"behaviour.":[447],"Geometry,":[448],"Infinity":[449],"Representation:":[451],"how":[453,537],"bounded":[454],"representations":[456],"can":[457],"mathematically":[459],"unbounded":[460],"domains,":[461],"limits":[464,471],"representation":[467,574],"system":[474],"represented.":[475],"Recurrence":[476],"Closure:":[479],"Demonstrates":[480],"return":[483],"trajectory":[487],"observed":[490],"position":[491],"does":[492],"not":[493],"imply":[494],"recurrence":[495,506,711],"complete":[498],"configuration.":[501],"closure":[503],"are":[507],"therefore":[508],"distinct":[509],"conditions.":[513],"A":[514,572],"Common":[515],"Foundation":[516],"Gravitation":[518],"Quantum":[520,533,736,748],"Fields:":[521],"Connects":[522],"recovery":[528,894],"Relativity":[531,730,871],"Structure,":[535],"examining":[536],"both":[538],"continuum":[539,714],"descriptions":[540,622,763,878],"relate":[541],"Transport,":[544,1000],"measurement.":[550],"places":[553],"particular":[554],"difference":[558],"describing":[560],"observations":[562,570],"establishing":[564],"those":[569,986],"arise.":[571],"may":[575],"reproduce":[576],"experimentally":[577],"relationships":[579,923],"underlying":[584],"Within":[587],"Theory,":[590,696,734],"Transport":[592,756,884,960],"precede":[596],"assignment":[598],"coordinates":[601],"identities":[606],"inherit":[607],"successive":[611],"configurations,":[612],"observers":[614],"obtain":[615],"distances,":[617],"intervals":[619],"mapping.":[627],"central":[629,915],"conclusion":[630],"must":[638],"examined":[640],"manifestation,":[648],"rather":[649],"than":[650],"inferred":[651],"solely":[652],"many":[655],"times":[656],"repeated":[657],"successes":[659],"geometry":[662,928],"lack":[664],"derivation":[668,984],"itself.":[671],"Something":[672],"bothered":[674],"even":[678],"later":[679],"life.":[681],"By":[682],"connecting":[683],"foundations":[686],"architecture":[692],"this":[697,979],"work":[698],"unified":[701],"conceptual":[702],"treatment":[703,996],"succession,":[706,859],"gravitation":[718],"quantum":[720,873,904],"This":[723,778],"complements":[724],"connected":[726],"papers:":[727],"Recovering":[728,735],"Structure":[738],"Toward":[744],"Origin":[746],"Probability,":[749],"addressing":[750],"foundational":[752,995],"(Gravity)":[757],"probabilistic":[762],"constructed":[764],"it.":[766],"AllenPattern":[770],"Theoryhttps://patternfieldtheory.com/https://zenodo.org/communities/pft...............................Update":[772],"note":[773,933],"-":[774,934],"8":[775],"November":[776,936],"2026":[777],"updated":[779],"edition":[780],"incorporates":[791],"historical,":[792],"mathematical,":[793],"structural":[795],"refinements.":[796],"update":[798],"includes:":[799],"Revised":[800],"closer":[803],"address,":[809],"Minkowski's":[817],"terminology.":[820],"Expanded":[821],"analysis":[823],"Felix":[825],"Pirani":[826],"Richard":[828],"Feynman's":[829],"1957":[833],"Chapel":[834],"Hill":[835],"Conference,":[836],"particularly":[837],"gravitational-wave":[842],"energy":[843],"transfer.":[844],"Clarification":[845],"continuation,":[848],"closure,":[850],"measurement,":[853],"biological":[860],"cycles,":[861],"mechanical-clock":[862],"operation,":[863],"numerical":[865],"time.":[866],"Explicit":[867],"identification":[868],"theory":[875],"Theory's":[882],"architecture.":[885],"Added":[886],"references":[887],"relevant":[890],"derivations":[892],"papers":[895],"covering":[896],"dimensional":[897],"construction,":[898],"gravitation,":[899],"curvature,":[902],"structure.":[906],"Editorial":[907],"corrections,":[908],"improved":[909],"consolidated":[912],"references.":[913],"finding":[916],"remains:":[917],"subsequently":[924],"represented":[925],"duration.----":[931],"Update":[932],"10":[935],"2026.":[937],"Refined":[938],"attribution":[940],"qualifications":[943],"Allen":[946],"Orbital":[947],"Lattice":[948],"(AOL)":[949],"isotropy":[950,972],"result.":[951],"revised":[953],"text":[954],"identifies":[955],"Handbook":[961],"source":[964],"lattice":[967],"moment-matching":[968],"calculation":[969],"fourth-order":[971],"selected":[974],"transport":[975],"weights,":[976],"result":[980],"outstanding":[983],"weights":[987],"admissibility":[990],"continuation.":[993],"2D+1D(n)":[999],"recursive":[1001],"depth,":[1002],"remains":[1008],"unchanged.":[1009],"References":[1010],"pagination":[1012],"have":[1013],"also":[1014],"been":[1015],"updated.":[1016]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-06T00:00:00"}