{"id":"https://openalex.org/W7225340608","doi":"https://doi.org/10.5281/zenodo.23985877","title":"Yang-Mills\u2013\u03a9: Entropic Gauge Spectra and Mass-Gap Structure Euclidean Construction, Spectral Relations, and the UEFT\u2013\u03a9 Ecosystem","display_name":"Yang-Mills\u2013\u03a9: Entropic Gauge Spectra and Mass-Gap Structure Euclidean Construction, Spectral Relations, and the UEFT\u2013\u03a9 Ecosystem","publication_year":2026,"publication_date":"2026-11-05","ids":{"openalex":"https://openalex.org/W7225340608","doi":"https://doi.org/10.5281/zenodo.23985877"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23985877","doi":"https://doi.org/10.5281/zenodo.23985877","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23985877","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":null,"license_id":null,"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.23985877","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5139680777","display_name":"Nazim Ari","orcid":"https://orcid.org/0009-0004-2131-5930","observed_orcids":["https://orcid.org/0009-0004-2131-5930"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ari, Nazim","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":"https://orcid.org/0009-0004-2131-5930","affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5139680777"],"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/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.6693999767303467,"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"}},"topics":[{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.6693999767303467,"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"}},{"id":"https://openalex.org/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.28859999775886536,"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"}},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.012199999764561653,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/yang-mills-theory","display_name":"Yang-Mills theory","score":0.8100000023841858},{"id":"https://openalex.org/keywords/mass-gap","display_name":"mass gap","score":0.9169999957084656},{"id":"https://openalex.org/keywords/reflection-positivity","display_name":"reflection positivity","score":0.9139999747276306},{"id":"https://openalex.org/keywords/confinement","display_name":"confinement","score":0.5960000157356262},{"id":"https://openalex.org/keywords/renormalization-group","display_name":"renormalization group","score":0.9919999837875366},{"id":"https://openalex.org/keywords/exponential-decay-of-correlations","display_name":"exponential decay of correlations","score":0.8759999871253967}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5406000018119812},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.5040000081062317},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.46889999508857727},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.46059998869895935},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4065000116825104},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.39730000495910645},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.390500009059906},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3799999952316284},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.35249999165534973},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C40976572","wikidata":"https://www.wikidata.org/wiki/Q2330873","display_name":"Gauge (firearms)","level":2,"score":0.3352999985218048},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33340001106262207},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.3271999955177307},{"id":"https://openalex.org/C40325409","wikidata":"https://www.wikidata.org/wiki/Q2360668","display_name":"Mass spectrum","level":3,"score":0.32580000162124634},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.3109999895095825},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.2994999885559082},{"id":"https://openalex.org/C130327152","wikidata":"https://www.wikidata.org/wiki/Q748349","display_name":"Mathematical structure","level":2,"score":0.29339998960494995},{"id":"https://openalex.org/C138817895","wikidata":"https://www.wikidata.org/wiki/Q386769","display_name":"Lattice gauge theory","level":3,"score":0.289000004529953},{"id":"https://openalex.org/C98306654","wikidata":"https://www.wikidata.org/wiki/Q2409122","display_name":"Spectral theory","level":3,"score":0.28200000524520874},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.26660001277923584},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.250900000333786}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23985877","doi":"https://doi.org/10.5281/zenodo.23985877","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23985877","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23985878","doi":"https://doi.org/10.5281/zenodo.23985878","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23985878","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23985877","doi":"https://doi.org/10.5281/zenodo.23985877","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23985877","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":null,"license_id":null,"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/W6887710765","https://openalex.org/W4415249514","https://openalex.org/W6930694374","https://openalex.org/W6949825138","https://openalex.org/W7115943649","https://openalex.org/W4412485020","https://openalex.org/W7128921342","https://openalex.org/W7214898431","https://openalex.org/W6968317485","https://openalex.org/W7127388187"],"abstract_inverted_index":{"This":[0,132],"article":[1,234],"develops":[2,31,235],"a":[3,111,138,227],"mathematical":[4,50,230],"formulation":[5],"of":[6,80,137,156],"non-Abelian":[7],"Yang\u2013Mills":[8,237],"gauge":[9,34,157],"dynamics":[10],"and":[11,46,57,65,83,92,101,110,148,161,170,181,192,202,210,214,245,253,255],"mass-gap":[12,71],"structure":[13],"within":[14],"the":[15,24,29,62,236,240,249],"Unified":[16,197,203],"Entropic":[17,167,188],"Field":[18],"Theory":[19],"framework":[20,87],"(UEFT\u2013\u03a9).":[21],"Starting":[22],"from":[23,124],"probabilistic":[25],"entropy":[26],"field":[27],"(S(x,t)),":[28],"study":[30],"entropy-weighted":[32],"Euclidean":[33],"measures,":[35],"reflection-positivity":[36],"conditions,":[37],"transfer-operator":[38],"spectral":[39,75,95],"relations,":[40],"gauge-invariant":[41,81],"correlation":[42],"functions,":[43],"confinement-related":[44],"estimates,":[45,106],"renormalization-group":[47],"structures.":[48],"The":[49,86,218,232],"investigation":[51],"includes":[52],"twelve":[53],"lemmas,":[54],"associated":[55],"theorems,":[56],"detailed":[58],"derivation":[59],"chains":[60],"addressing":[61],"theoretical":[63],"construction":[64],"its":[66],"conditional":[67],"implications.":[68],"Three":[69],"complementary":[70],"formulations":[72,155],"are":[73,117],"examined:":[74],"eigenvalue":[76],"separation,":[77],"exponential":[78],"decay":[79],"correlations,":[82],"entropy-curvature":[84],"scaling.":[85],"integrates":[88],"UCAT\u2013\u03a9/UCAT-GP,":[89],"ECO\u2013\u03a9,":[90],"EWC\u2013\u03a9,":[91],"SCOUT\u2013\u03a9":[93],"for":[94],"analysis,":[96],"robust":[97],"estimation,":[98],"uncertainty":[99],"assessment,":[100],"consistency":[102],"verification.":[103],"Analytical":[104],"numerical":[105,126],"exploratory":[107],"computational":[108],"implementations,":[109],"proposed":[112,121],"36-setting":[113],"lattice":[114],"simulation":[115],"protocol":[116],"also":[118],"presented,":[119],"with":[120],"simulations":[122],"distinguished":[123],"completed":[125],"calculations.":[127],"Five-Article":[128],"UEFT\u2013\u03a9":[129,229],"Research":[130],"Series":[131],"publication":[133],"is":[134],"Article":[135,163,173,184,194,206],"I":[136,164],"coordinated":[139],"five-article":[140],"research":[141],"programme,":[142],"developed":[143],"between":[144],"16":[145],"October":[146],"2025":[147],"9":[149],"March":[150],"2026":[151],"to":[152],"investigate":[153,220],"entropy-based":[154],"dynamics,":[158],"particle":[159],"masses,":[160],"gravity:":[162],"\u2014":[165,175,186,196,208],"Yang\u2013Mills:":[166],"Gauge":[168],"Spectra":[169],"Mass-Gap":[171],"Structure.":[172,183],"II":[174],"Higgs:":[176],"Entropy-Dependent":[177],"Scalar":[178],"Potential,":[179],"Mass":[180,189,204],"Vacuum":[182],"III":[185],"Neutrinos:":[187],"Matrices,":[190],"Hierarchies":[191],"Mixing.":[193],"IV":[195],"Mass:":[198],"Sectoral":[199],"Entropy-Curvature":[200],"Architecture":[201],"Generation.":[205],"V":[207],"Gravity":[209,213],"QEP\u2013\u03a9:":[211],"Mass,":[212],"Branchwise":[215],"Quantum":[216],"Equivalence.":[217],"articles":[219,242],"distinct":[221],"but":[222],"interconnected":[223],"physical":[224],"sectors":[225],"under":[226],"common":[228],"foundation.":[231],"present":[233],"contribution,":[238],"while":[239],"companion":[241],"address":[243],"scalar":[244],"neutrino":[246],"mass":[247,251],"generation,":[248],"unified":[250],"architecture,":[252],"gravitational":[254],"quantum-equivalence":[256],"relationships.":[257]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-11-06T00:00:00"}