{"id":"https://openalex.org/W7166314819","doi":"https://doi.org/10.5281/zenodo.20970516","title":"Topological Classification of Solitons and Derivation of the Elementary Particle Mass Spectrum in the 26 Vertex Oh Lattice","display_name":"Topological Classification of Solitons and Derivation of the Elementary Particle Mass Spectrum in the 26 Vertex Oh Lattice","publication_year":2026,"publication_date":"2026-06-27","ids":{"openalex":"https://openalex.org/W7166314819","doi":"https://doi.org/10.5281/zenodo.20970516"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.20970516","doi":"https://doi.org/10.5281/zenodo.20970516","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20970516","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":"article-journal"},"volume":null,"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.20970516","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133500212","display_name":"Ivan Davidenko","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ivan Davidenko","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0008-7610-9404","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5133500212"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.51878746,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.7749000191688538,"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"}},"topics":[{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.7749000191688538,"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"}},{"id":"https://openalex.org/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.11749999970197678,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.06780000030994415,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/elementary-particle-masses","display_name":"elementary particle masses","score":0.8009999990463257},{"id":"https://openalex.org/keywords/topological-invariants","display_name":"topological invariants","score":0.6499999761581421},{"id":"https://openalex.org/keywords/hadron-masses","display_name":"hadron masses","score":0.5389999747276306},{"id":"https://openalex.org/keywords/higgs-boson-mass","display_name":"Higgs boson mass","score":0.7720000147819519},{"id":"https://openalex.org/keywords/golden-ratio","display_name":"golden ratio","score":0.5929999947547913},{"id":"https://openalex.org/keywords/lattice-geometry","display_name":"lattice geometry","score":0.35100001096725464},{"id":"https://openalex.org/keywords/quasiparticles","display_name":"quasiparticles","score":0.5360000133514404},{"id":"https://openalex.org/keywords/neutrinos","display_name":"neutrinos","score":0.593999981880188},{"id":"https://openalex.org/keywords/electron-mass","display_name":"electron mass","score":0.531000018119812}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6676999926567078},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5437999963760376},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4440999925136566},{"id":"https://openalex.org/C197617374","wikidata":"https://www.wikidata.org/wiki/Q755991","display_name":"Atiyah\u2013Singer index theorem","level":2,"score":0.428600013256073},{"id":"https://openalex.org/C158129726","wikidata":"https://www.wikidata.org/wiki/Q402","display_name":"Higgs boson","level":2,"score":0.42559999227523804},{"id":"https://openalex.org/C79118098","wikidata":"https://www.wikidata.org/wiki/Q43101","display_name":"Boson","level":2,"score":0.40529999136924744},{"id":"https://openalex.org/C77223115","wikidata":"https://www.wikidata.org/wiki/Q634781","display_name":"Topological quantum number","level":2,"score":0.3714999854564667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3580000102519989},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34860000014305115},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C15580451","wikidata":"https://www.wikidata.org/wiki/Q3077640","display_name":"Mass formula","level":2,"score":0.33880001306533813},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.33410000801086426},{"id":"https://openalex.org/C151987854","wikidata":"https://www.wikidata.org/wiki/Q1097654","display_name":"Invariant mass","level":2,"score":0.3221000134944916},{"id":"https://openalex.org/C2777925532","wikidata":"https://www.wikidata.org/wiki/Q5357201","display_name":"Mass gap","level":2,"score":0.32030001282691956},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.31520000100135803},{"id":"https://openalex.org/C54937798","wikidata":"https://www.wikidata.org/wiki/Q2024141","display_name":"Massless particle","level":2,"score":0.31459999084472656},{"id":"https://openalex.org/C102999125","wikidata":"https://www.wikidata.org/wiki/Q43116","display_name":"Elementary particle","level":2,"score":0.31209999322891235},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.3028999865055084},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.29190000891685486},{"id":"https://openalex.org/C159867001","wikidata":"https://www.wikidata.org/wiki/Q904942","display_name":"Topological index","level":2,"score":0.2793999910354614},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.26759999990463257},{"id":"https://openalex.org/C75577371","wikidata":"https://www.wikidata.org/wiki/Q6497124","display_name":"Lattice model (finance)","level":3,"score":0.2639999985694885},{"id":"https://openalex.org/C104862878","wikidata":"https://www.wikidata.org/wiki/Q1770567","display_name":"Topological defect","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C42238305","wikidata":"https://www.wikidata.org/wiki/Q5370778","display_name":"Lattice field theory","level":3,"score":0.2581000030040741},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.25209999084472656}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.20970516","doi":"https://doi.org/10.5281/zenodo.20970516","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20970516","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":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.5281/zenodo.20970517","doi":"https://doi.org/10.5281/zenodo.20970517","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20970517","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":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.5281/zenodo.20970516","doi":"https://doi.org/10.5281/zenodo.20970516","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20970516","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":"article-journal"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W7166372917"],"related_works":[],"abstract_inverted_index":{"Within":[0],"the":[1,10,28,187,199,216,229],"framework":[2],"of":[3,27,34,215,239],"Discrete":[4],"Geometric":[5,166],"Physics":[6],"(DGP)":[7],"based":[8],"on":[9],"26\u2011vertex":[11],"cubic":[12],"lattice":[13,55],"with":[14,79,132],"topological":[15,19,235],"invariant":[16,231],"\u03a3w=14\u03a3w=14,":[17],"a":[18,41,202],"Hopf":[20,234],"index":[21,236],"H(u)H(u)":[22],"is":[23,38,122,201],"introduced":[24],"for":[25,45,67,162],"configurations":[26],"deformation":[29],"field":[30],"uu.":[31],"The":[32,219,233],"quantisation":[33,238],"hierarchy":[35,220],"levels":[36,240],"N(H)N(H)":[37],"proved,":[39],"yielding":[40],"discrete":[42],"mass":[43,65,91,102,113,121],"spectrum":[44,130],"solitonic":[46],"excitations.":[47],"All":[48],"particle":[49,74],"masses":[50,244],"are":[51,191],"derived":[52],"strictly":[53],"from":[54,221,228],"geometry":[56],"without":[57,245],"empirical":[58],"fitting":[59,246],"parameters.":[60,247],"Key":[61],"results:":[62],"1.":[63],"Unified":[64],"formula":[66,92,103,114,161],"fundamental":[68],"solitons:":[69],"m(N)=64\u22c5\u210fca(N)\u22c5cos\u2061\u03b8\u22c5Ftop\u22c5\u03d5\u2212N,a(N)=2N\u2113Pl.m(N)=64\u22c5a(N)\u210fc\u22c5cos\u03b8\u22c5Ftop\u22c5\u03d5\u2212N,a(N)=2N\u2113Pl.":[70],"2.":[71],"Distinction":[72],"between":[73],"types":[75],"(in":[76],"full":[77],"accordance":[78],"Volume":[80,211],"1,":[81,212],"Chapter":[82,213],"5):":[83],"o":[84,97,109,134,140,146,152,169,171,173,175,177],"Fundamental":[85],"solitons":[86],"(electron,":[87,99],"muon,":[88,100],"tau,":[89],"neutrinos):":[90],"includes":[93,104],"cos\u2061\u03b8cos\u03b8":[94,105,118],"and":[95,189,241],"\u03d5\u2212N\u03d5\u2212N.":[96,108],"Quasiparticles":[98],"tau):":[101],"but":[106],"not":[107,116],"Hadrons":[110],"(proton,":[111],"neutron):":[112],"does":[115],"include":[117],"or":[119],"\u03d5\u2212N\u03d5\u2212N;":[120],"determined":[123],"by":[124],"quark":[125],"binding":[126],"energy.":[127],"3.":[128],"Mass":[129],"agreement":[131],"PDG:":[133],"Proton:":[135],"938.272":[136],"MeV":[137,143,149],"(<0.01%":[138,144,157],"deviation)":[139,145,151,158],"Neutron:":[141],"939.565":[142],"Electron:":[147],"0.511":[148],"(<0.1%":[150],"Higgs":[153],"boson:":[154],"125.1":[155],"GeV":[156],"4.":[159],"Explicit":[160],"N(H)N(H):":[163],"N(H)=\u230a\u03b1H+\u03b2\u230b,\u03b1\u22480.3173,\u03b2\u22480.5.N(H)=\u230a\u03b1H+\u03b2\u230b,\u03b1\u22480.3173,\u03b2\u22480.5.":[164],"5.":[165],"invariants":[167],"used:":[168],"\u03a3w=14\u03a3w=14":[170],"\u03b8=arcsin\u2061(1/3)\u224835.264\u2218\u03b8=arcsin(1/3)\u224835.264\u2218":[172],"\u03d5=(1+5)/2\u22481.618034\u03d5=(1+5)/2\u22481.618034":[174],"Ftop=0.088534Ftop=0.088534":[176],"\u2113Pl=1.616259\u00d710\u221235":[178],"m\u2113Pl=1.616259\u00d710\u221235m":[179],"This":[180],"revised":[181],"version":[182],"explicitly":[183],"clarifies:":[184],"\u00b7":[185,197,208],"Why":[186,198],"proton":[188],"neutron":[190],"hadrons":[192],"(no":[193],"cos\u2061\u03b8cos\u03b8,":[194],"no":[195,206],"\u03d5\u2212N\u03d5\u2212N).":[196,207],"electron":[200],"quasiparticle":[203],"(cos\u2061\u03b8cos\u03b8":[204],"only,":[205],"Cross\u2011references":[209],"to":[210,224],"5":[214],"base":[217],"theory.":[218],"sub\u2011Planckian":[222],"(N\u2192\u2212\u221eN\u2192\u2212\u221e)":[223],"cosmological":[225],"(N\u2248204N\u2248204)":[226],"follows":[227],"single":[230],"\u03a3w=14\u03a3w=14.":[232],"ensures":[237],"gives":[242],"exact":[243]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2026-06-28T00:00:00"}