{"id":"https://openalex.org/W7225613671","doi":"https://doi.org/10.5281/zenodo.24077992","title":"Theoretical Foundations of the Phi-Network Dynamics (Phi-ND) Framework: Discrete Quantum Geometry, Topological Matter Emergence, and Inhomogeneous Network Cosmology","display_name":"Theoretical Foundations of the Phi-Network Dynamics (Phi-ND) Framework: Discrete Quantum Geometry, Topological Matter Emergence, and Inhomogeneous Network Cosmology","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225613671","doi":"https://doi.org/10.5281/zenodo.24077992"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24077992","doi":"https://doi.org/10.5281/zenodo.24077992","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24077992","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":"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.24077992","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5161351877","display_name":"Ferenc Jord\u00e1n","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jord\u00e1n, Ferenc","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5161351877"],"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9970999956130981,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9970999956130981,"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":0.0017000000225380063,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.00019999999494757503,"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/causal-set-theory","display_name":"causal sets","score":0.9160000085830688},{"id":"https://openalex.org/keywords/causal-dynamical-triangulations","display_name":"causal dynamical triangulations","score":0.996999979019165},{"id":"https://openalex.org/keywords/entropic-gravity","display_name":"entropic gravity","score":0.9319999814033508},{"id":"https://openalex.org/keywords/group-field-theory","display_name":"group field theory","score":0.8500000238418579},{"id":"https://openalex.org/keywords/spectral-dimension","display_name":"spectral dimension","score":0.7929999828338623},{"id":"https://openalex.org/keywords/dimensional-reduction","display_name":"dimensional reduction","score":0.5590000152587891},{"id":"https://openalex.org/keywords/topological-matter","display_name":"topological matter","score":0.5830000042915344},{"id":"https://openalex.org/keywords/zitterbewegung","display_name":"Zitterbewegung","score":0.7730000019073486},{"id":"https://openalex.org/keywords/gauge-invariance","display_name":"gauge invariance","score":0.5540000200271606},{"id":"https://openalex.org/keywords/quantum-measurement-problem","display_name":"measurement problem","score":0.847000002861023},{"id":"https://openalex.org/keywords/hidden-variables","display_name":"hidden variables","score":0.8529999852180481},{"id":"https://openalex.org/keywords/decoherence","display_name":"decoherence","score":0.8529999852180481},{"id":"https://openalex.org/keywords/cosmic-filaments","display_name":"cosmic filaments","score":0.6029999852180481},{"id":"https://openalex.org/keywords/voids","display_name":"voids","score":0.7590000033378601},{"id":"https://openalex.org/keywords/dark-energy","display_name":"dark energy","score":0.9710000157356262},{"id":"https://openalex.org/keywords/dark-matter","display_name":"dark matter","score":0.9980000257492065},{"id":"https://openalex.org/keywords/hubble-tension","display_name":"Hubble tension","score":0.9490000009536743},{"id":"https://openalex.org/keywords/background-independence","display_name":"background independence","score":0.5559999942779541},{"id":"https://openalex.org/keywords/quantum-gravity","display_name":"quantum gravity","score":0.4440000057220459}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8112000226974487},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.5611000061035156},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.45239999890327454},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.43880000710487366},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.41659998893737793},{"id":"https://openalex.org/C172790937","wikidata":"https://www.wikidata.org/wiki/Q18343","display_name":"Dark energy","level":3,"score":0.4147999882698059},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4018999934196472},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.40139999985694885},{"id":"https://openalex.org/C104862878","wikidata":"https://www.wikidata.org/wiki/Q1770567","display_name":"Topological defect","level":2,"score":0.39579999446868896},{"id":"https://openalex.org/C2779625871","wikidata":"https://www.wikidata.org/wiki/Q22811512","display_name":"Extra dimensions","level":2,"score":0.383899986743927},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.37049999833106995},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.3700999915599823},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.36239999532699585},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.3612000048160553},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3499000072479248},{"id":"https://openalex.org/C45018233","wikidata":"https://www.wikidata.org/wiki/Q780685","display_name":"Quantum cosmology","level":4,"score":0.3377000093460083},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.3345000147819519},{"id":"https://openalex.org/C159249277","wikidata":"https://www.wikidata.org/wiki/Q79925","display_name":"Dark matter","level":2,"score":0.33079999685287476},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.3188000023365021},{"id":"https://openalex.org/C70943382","wikidata":"https://www.wikidata.org/wiki/Q505356","display_name":"Antipodal point","level":2,"score":0.31279999017715454},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3124000132083893},{"id":"https://openalex.org/C58801389","wikidata":"https://www.wikidata.org/wiki/Q739962","display_name":"Loop quantum gravity","level":4,"score":0.3075999915599823},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.2985000014305115},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2867000102996826},{"id":"https://openalex.org/C198459414","wikidata":"https://www.wikidata.org/wiki/Q1391812","display_name":"Faddeev\u2013Popov ghost","level":5,"score":0.28369998931884766},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.28349998593330383},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.28279998898506165},{"id":"https://openalex.org/C45646460","wikidata":"https://www.wikidata.org/wiki/Q17165159","display_name":"Topological order","level":3,"score":0.2655999958515167},{"id":"https://openalex.org/C88850056","wikidata":"https://www.wikidata.org/wiki/Q3274262","display_name":"Imaginary time","level":5,"score":0.26499998569488525},{"id":"https://openalex.org/C20154449","wikidata":"https://www.wikidata.org/wiki/Q1129469","display_name":"Metric expansion of space","level":4,"score":0.26269999146461487},{"id":"https://openalex.org/C71993908","wikidata":"https://www.wikidata.org/wiki/Q1093427","display_name":"Lorentz covariance","level":3,"score":0.26100000739097595},{"id":"https://openalex.org/C53250935","wikidata":"https://www.wikidata.org/wiki/Q2122184","display_name":"Quantum geometry","level":5,"score":0.2556999921798706},{"id":"https://openalex.org/C7503960","wikidata":"https://www.wikidata.org/wiki/Q721094","display_name":"Topological quantum field theory","level":2,"score":0.2540000081062317},{"id":"https://openalex.org/C120484201","wikidata":"https://www.wikidata.org/wiki/Q2246697","display_name":"Quantum field theory in curved spacetime","level":4,"score":0.25290000438690186},{"id":"https://openalex.org/C166126730","wikidata":"https://www.wikidata.org/wiki/Q725309","display_name":"Planck","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24077992","doi":"https://doi.org/10.5281/zenodo.24077992","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24077992","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":"Preprint"},{"id":"doi:10.5281/zenodo.24077993","doi":"https://doi.org/10.5281/zenodo.24077993","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24077993","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":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24077992","doi":"https://doi.org/10.5281/zenodo.24077992","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24077992","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":"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/W7172136736","https://openalex.org/W7208820656","https://openalex.org/W2218431483","https://openalex.org/W2793161659","https://openalex.org/W7225314501","https://openalex.org/W7105985963","https://openalex.org/W7223972975","https://openalex.org/W7162105616","https://openalex.org/W7163423521","https://openalex.org/W7139966264"],"abstract_inverted_index":{"Modern":[0],"theoretical":[1,33],"physics":[2],"faces":[3],"persistent":[4],"foundational":[5],"challenges":[6],"arising":[7],"from":[8,98,128],"the":[9,12,20,31,36,64,99,111,125,133,141,165,197,231,236,250],"incompatibility":[10],"between":[11],"smooth":[13],"Lorentzian":[14],"manifolds":[15],"of":[16,24,35,102,124,243],"General":[17],"Relativity":[18],"and":[19,80,115,152,172,178,181,201,211,223,249],"discrete,":[21],"algebraic":[22],"structure":[23],"Quantum":[25,69],"Field":[26,82],"Theory.":[27],"This":[28],"monograph":[29],"presents":[30],"complete":[32],"formulation":[34],"Phi-Network":[37],"Dynamics":[38],"(Phi-ND)":[39],"framework,":[40],"a":[41,52,90,103,239],"background-independent":[42],"model":[43],"in":[44,132,185],"which":[45],"physical":[46],"reality":[47],"is":[48],"represented":[49],"fundamentally":[50],"as":[51,159],"finite,":[53],"dynamical":[54],"quantum-geometric":[55],"graph":[56],"G":[57],"=":[58,130,138],"(V,":[59],"E).":[60],"Part":[61,144,194],"I":[62],"establishes":[63],"spacetime":[65],"substrate":[66],"by":[67,121],"synthesizing":[68],"Graphity,":[70],"Causal":[71,74],"Set":[72],"Theory,":[73],"Dynamical":[75],"Triangulations":[76],"(CDT),":[77],"Entropic":[78],"Gravity,":[79],"Group":[81],"Theory":[83],"(GFT)":[84],"condensates.":[85],"Macroscopic":[86],"geometry":[87],"emerges":[88],"via":[89],"thermodynamic":[91],"phase":[92],"transition":[93],"(geometrogenesis),":[94],"gravitational":[95,182],"curvature":[96,192],"arises":[97],"spatial":[100,166],"gradients":[101],"coarse-grained":[104],"local":[105],"topological":[106,188],"node-saturation":[107],"field":[108],"Phi(x)":[109],"through":[110,204],"Benincasa-Dowker":[112],"discrete":[113,148],"action,":[114],"ultraviolet":[116],"divergences":[117],"are":[118,157],"naturally":[119],"regulated":[120],"dimensional":[122],"reduction":[123],"spectral":[126],"dimension":[127],"D_S":[129,137],"4":[131],"infrared":[134],"regime":[135],"to":[136,150,175],"2":[139],"near":[140],"Planck":[142],"scale.":[143],"II":[145],"extends":[146],"this":[147],"ontology":[149],"matter":[151,247],"gauge":[153,168],"interactions:":[154],"elementary":[155],"fermions":[156],"modeled":[158],"helically":[160],"propagating":[161],"Zitterbewegung":[162],"braids":[163],"on":[164],"subgraph,":[167],"symmetries":[169],"U(1),":[170],"SU(2),":[171],"SU(3)":[173],"correspond":[174],"combinatorial":[176],"edge-twisting":[177],"braiding":[179],"invariants,":[180],"collapse":[183],"terminates":[184],"finite-valence":[186],"jammed":[187],"cores":[189],"rather":[190],"than":[191],"singularities.":[193],"III":[195],"addresses":[196],"quantum":[198],"measurement":[199],"problem":[200],"observational":[202],"cosmology":[203],"deterministic":[205],"graph-local":[206],"hidden":[207],"variables,":[208],"environmental":[209],"decoherence,":[210],"kinematic":[212],"backreaction":[213],"(Q_D).":[214],"By":[215],"accounting":[216],"for":[217],"cosmic":[218],"segregation":[219],"into":[220],"dense":[221],"filaments":[222],"expanding":[224],"voids":[225],"alongside":[226],"elastic":[227],"network":[228],"response":[229],"below":[230],"critical":[232],"acceleration":[233],"scale":[234],"a_0,":[235],"framework":[237],"offers":[238],"unified,":[240],"singularity-free":[241],"interpretation":[242],"dark":[244,246],"energy,":[245],"phenomenology,":[248],"Hubble":[251],"tension.":[252]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}