{"id":"https://openalex.org/W7225249096","doi":"https://doi.org/10.5281/zenodo.23934988","title":"A History-Tagged Wheel \u2014 Unified v1+v2 \u2014 Complete Axiomatization with Forced Soft Charge and Ramanujan Grading","display_name":"A History-Tagged Wheel \u2014 Unified v1+v2 \u2014 Complete Axiomatization with Forced Soft Charge and Ramanujan Grading","publication_year":2026,"publication_date":"2026-11-04","ids":{"openalex":"https://openalex.org/W7225249096","doi":"https://doi.org/10.5281/zenodo.23934988"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23934988","doi":"https://doi.org/10.5281/zenodo.23934988","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23934988","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23934988","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5158691077","display_name":"Robert Aaron Tseglin","orcid":"https://orcid.org/0000-0002-7898-1393","observed_orcids":["https://orcid.org/0000-0002-7898-1393"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tseglin, Robert Aaron","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5158691077"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.91611185,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"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/T10126","display_name":"Logic, programming, and type systems","score":0.3041999936103821,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.3041999936103821,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.295199990272522,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.10830000042915344,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/division-by-zero","display_name":"division by zero","score":0.9589999914169312},{"id":"https://openalex.org/keywords/provenance","display_name":"provenance","score":0.7049999833106995},{"id":"https://openalex.org/keywords/retrocausality","display_name":"retrocausality","score":0.8849999904632568},{"id":"https://openalex.org/keywords/ramanujan-congruences","display_name":"Ramanujan congruences","score":0.6470000147819519},{"id":"https://openalex.org/keywords/celestial-holography","display_name":"celestial holography","score":0.7450000047683716}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7513999938964844},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.5430999994277954},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.4814000129699707},{"id":"https://openalex.org/C131220774","wikidata":"https://www.wikidata.org/wiki/Q1441456","display_name":"Ramanujan's sum","level":2,"score":0.4404999911785126},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43389999866485596},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4049000144004822},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.37369999289512634},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35690000653266907},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34360000491142273},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.33739998936653137},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.33059999346733093},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.3181000053882599},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.31139999628067017},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.29840001463890076},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C141603448","wikidata":"https://www.wikidata.org/wiki/Q134830","display_name":"Prefix","level":2,"score":0.2727000117301941},{"id":"https://openalex.org/C2780345915","wikidata":"https://www.wikidata.org/wiki/Q11185","display_name":"Backslash","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.25369998812675476}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23934988","doi":"https://doi.org/10.5281/zenodo.23934988","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23934988","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.5281/zenodo.23934989","doi":"https://doi.org/10.5281/zenodo.23934989","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23934989","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23934988","doi":"https://doi.org/10.5281/zenodo.23934988","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23934988","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"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/W7225240171","https://openalex.org/W7225254836","https://openalex.org/W7225242827","https://openalex.org/W7162792961","https://openalex.org/W7225181623","https://openalex.org/W7221785425","https://openalex.org/W7202031719","https://openalex.org/W7221849194","https://openalex.org/W7221446229","https://openalex.org/W7222170091"],"abstract_inverted_index":{"v1":[0,112],"defined":[1],"RH":[2],"=":[3,9,22,76,247],"R":[4],"x":[5,78,80,82],"H":[6,8,73],"where":[7,67,84],"Sigma*":[10],"free":[11],"monoid":[12],"of":[13,89,180],"derivation":[14],"histories,":[15],"and":[16,27,44,93,109,136,152],"extended":[17],"division:":[18],"a":[19,221],"/":[20],"b":[21],"(1,":[23],"h1)":[24],"if":[25,31],"r1=r2=0":[26],"h1=h2,":[28],"else":[29],"bot":[30,154],"h1":[32],"!=":[33],"h2.":[34],"This":[35,54,215],"gives":[36,153],"same-zero":[37,151],"vs":[38],"different-zero":[39],"theorem:":[40],"E=(0,":[41],"[[e^{i":[42],"pi}+1]])":[43],"T=(0,":[45],"[[1-1]])":[46],"satisfy":[47],"E/E=1_H,":[48],"T/T=1_H,":[49],"E/T=bot,":[50],"T/E=bot,":[51],"despite":[52],"pi1(E)=pi1(T)=0.":[53],"preserves":[55,146],"same-origin":[56],"cancellation":[57],"while":[58],"flagging":[59],"different-origin":[60],"0/0":[61],"as":[62,220],"bot,":[63],"unlike":[64],"Carlstrom":[65],"wheel":[66,263],"(x-x)/(x-x)=bot":[68],"always.":[69],"We":[70],"then":[71],"extend":[72],"to":[74],"H_ext":[75,143],"H_past":[77],"H_future":[79],"Q_soft":[81,85,133,139,184,197],"P":[83,94],"is":[86,95,117,122,134,167,176,185,203,210,218,227,243],"abelian":[87],"group":[88],"supertranslation":[90,188],"charges":[91],"(Pasterski)":[92],"partition":[96],"grading":[97,100],"with":[98,252],"Ramanujan":[99,147,213,273],"|p|.":[101],"Operation":[102],"(h_p":[103],"h'_p,":[104],"h'_f":[105],"h_f,":[106],"Q+Q',":[107],"p+p')":[108],"involution":[110],"T(h_p,h_f,Q,p)=(h_f,h_p,-Q,p).":[111],"proves:":[113],"(4)":[114],"full":[115],"+":[116],"associative,":[118],"coherent":[119,181],"restriction":[120],"+_coh":[121],"associative":[123,171],"iff":[124,138],"retrocausal":[125],"chain":[126],"matches,":[127],"(5)":[128],"Q_soft:":[129],"ker":[130,194],"pi1":[131,195],"->":[132,144,196],"homomorphism":[135,193],"E/T=bot":[137,202],"differs,":[140],"(6)":[141],"deg:":[142],"N":[145],"class":[148],"mod5":[149],"for":[150,155,178,241],"different-zero.":[156],"v2":[157],"proves":[158],"these":[159],"are":[160],"forced,":[161],"not":[162],"ad":[163],"hoc:":[164],"(7)":[165],"H=Sigma*":[166],"initial":[168],"among":[169],"provenance-preserving":[170],"models,":[172],"(8)":[173],"coherence":[174],"T(h_f)=h_p":[175],"unique":[177],"associativity":[179],"product,":[182],"(9)":[183],"forced":[186,204,211],"by":[187,205,212,266],"invariance":[189],"\u2014":[190],"any":[191],"invariant":[192],"factors":[198],"through":[199],"projection,":[200],"hence":[201],"Q_E":[206],"!=0,":[207],"(10)":[208],"deg=|p|":[209],"detection.":[214],"unified":[216],"construction":[217],"new":[219],"combined":[222],"object,":[223],"though":[224],"each":[225],"component":[226],"built":[228],"from":[229],"known":[230],"ideas":[231],"(wheels,":[232],"provenance":[233],"semirings,":[234],"soft":[235],"charges,":[236],"partitions).":[237],"No":[238],"physical":[239],"law":[240],"lambda":[242],"claimed.":[244],"Formula":[245],"A_protected":[246],"A":[248],"e^{-lambda":[249],"V":[250],"S_loop}":[251],"S_loop=Omega":[253],"remains":[254],"conjecture.":[255],"Pure":[256],"math":[257],"stops":[258],"at":[259],"Theorem":[260],"10.":[261],"Keywords:":[262],"algebra,":[264],"division":[265],"zero,":[267],"provenance,":[268],"retrocausal,":[269],"celestial":[270],"holography,":[271],"supertranslation,":[272],"partitions,":[274],"Euler":[275],"identityv1:":[276],"10.5281/zenodo.23934709":[277]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-11-05T00:00:00"}