{"id":"https://openalex.org/W7204705140","doi":"https://doi.org/10.5281/zenodo.22180625","title":"THE THEORY OF EMERGENT DIMENSIONS FROM \u03a6","display_name":"THE THEORY OF EMERGENT DIMENSIONS FROM \u03a6","publication_year":2026,"publication_date":"2026-08-30","ids":{"openalex":"https://openalex.org/W7204705140","doi":"https://doi.org/10.5281/zenodo.22180625"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.22180625","doi":"https://doi.org/10.5281/zenodo.22180625","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22180625","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.22180625","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5117447835","display_name":"Michael Chodounsk\u00fd","orcid":"https://orcid.org/0009-0004-8595-8679","observed_orcids":["https://orcid.org/0009-0004-8595-8679"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Chodounsky, Michael","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0004-8595-8679","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5117447835"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.5292649,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.421099990606308,"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":0.421099990606308,"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":0.3158999979496002,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.1979999989271164,"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/emergent-dimensions","display_name":"emergent dimensions","score":0.8159999847412109},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"quantum entanglement","score":0.734000027179718},{"id":"https://openalex.org/keywords/topological-entanglement","display_name":"topological entanglement","score":0.871999979019165},{"id":"https://openalex.org/keywords/dimensionality","display_name":"dimensionality","score":0.5849999785423279},{"id":"https://openalex.org/keywords/fourth-spatial-dimension","display_name":"fourth spatial dimension","score":0.7409999966621399},{"id":"https://openalex.org/keywords/critical-threshold","display_name":"critical threshold","score":0.5049999952316284},{"id":"https://openalex.org/keywords/second-order-phase-transition","display_name":"second-order phase transition","score":0.9589999914169312},{"id":"https://openalex.org/keywords/gravitational-wave-dispersion","display_name":"gravitational wave dispersion","score":0.8230000138282776},{"id":"https://openalex.org/keywords/variation-of-fundamental-constants","display_name":"variation of fundamental constants","score":0.859000027179718},{"id":"https://openalex.org/keywords/inflation","display_name":"inflation","score":0.5860000252723694},{"id":"https://openalex.org/keywords/consciousness","display_name":"consciousness","score":0.8569999933242798},{"id":"https://openalex.org/keywords/multiverse","display_name":"multiverse","score":0.9480000138282776},{"id":"https://openalex.org/keywords/nature-of-time","display_name":"nature of time","score":0.8450000286102295},{"id":"https://openalex.org/keywords/substrate","display_name":"substrate","score":0.7580000162124634}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6782000064849854},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6593999862670898},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.5999000072479248},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.550000011920929},{"id":"https://openalex.org/C144386022","wikidata":"https://www.wikidata.org/wiki/Q1332997","display_name":"Scale factor (cosmology)","level":5,"score":0.45899999141693115},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.42419999837875366},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4154999852180481},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.40959998965263367},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.40369999408721924},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3831999897956848},{"id":"https://openalex.org/C207297109","wikidata":"https://www.wikidata.org/wiki/Q15605","display_name":"Cosmic microwave background","level":3,"score":0.376800000667572},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.3725000023841858},{"id":"https://openalex.org/C2779625871","wikidata":"https://www.wikidata.org/wiki/Q22811512","display_name":"Extra dimensions","level":2,"score":0.35109999775886536},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3422999978065491},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.33550000190734863},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.3337000012397766},{"id":"https://openalex.org/C207789793","wikidata":"https://www.wikidata.org/wiki/Q3028070","display_name":"Critical dimension","level":2,"score":0.3328000009059906},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.3312999904155731},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.32600000500679016},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.30559998750686646},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.3043999969959259},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.30059999227523804},{"id":"https://openalex.org/C20154449","wikidata":"https://www.wikidata.org/wiki/Q1129469","display_name":"Metric expansion of space","level":4,"score":0.29980000853538513},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.29280000925064087},{"id":"https://openalex.org/C115311070","wikidata":"https://www.wikidata.org/wiki/Q5347255","display_name":"Effective dimension","level":3,"score":0.28859999775886536},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.2818000018596649},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.2809000015258789},{"id":"https://openalex.org/C187268509","wikidata":"https://www.wikidata.org/wiki/Q1402884","display_name":"Field theory (psychology)","level":2,"score":0.28040000796318054},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.2741999924182892},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C23707678","wikidata":"https://www.wikidata.org/wiki/Q164262","display_name":"Lebesgue covering dimension","level":3,"score":0.2727000117301941},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.26109999418258667},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.258899986743927},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.25429999828338623},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.22180625","doi":"https://doi.org/10.5281/zenodo.22180625","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22180625","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.22180626","doi":"https://doi.org/10.5281/zenodo.22180626","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22180626","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.22180625","doi":"https://doi.org/10.5281/zenodo.22180625","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22180625","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/W6930818555","https://openalex.org/W7154461608","https://openalex.org/W6929624081","https://openalex.org/W6912064722","https://openalex.org/W6930671758","https://openalex.org/W7090838441","https://openalex.org/W7142551208","https://openalex.org/W244769366","https://openalex.org/W7124445310","https://openalex.org/W7118127130"],"abstract_inverted_index":{"This":[0,147],"paper":[1],"presents":[2],"the":[3,13,45,54,76,80,99,128,154,162,167,171,176,179,183,187,222,226,234,240,245,267,288,291,301,314],"Theory":[4,17],"of":[5,12,18,27,79,98,108,121,209,225,269,290,303,308,316,321],"Emergent":[6],"Dimensions":[7],"(TED),":[8],"a":[9,25,49,117,133,141,306,319],"significant":[10],"extension":[11],"\u03a6-theory":[14],"framework.":[15],"The":[16,195],"\u03a6":[19,122,157,299],"posits":[20],"that":[21,68,84],"reality":[22],"is":[23,70,124,149],"fundamentally":[24],"field":[26],"quantum":[28],"entanglement":[29,109],"from":[30,75],"which":[31,94,140,244],"space,":[32],"time,":[33],"matter,":[34,263],"and":[35,43,61,175,186,229,271,313],"consciousness":[36],"emerge":[37],"as":[38,293,305,318],"derived":[39],"phenomena.":[40],"While":[41],"elegant":[42],"comprehensive,":[44],"current":[46],"formulation":[47],"lacks":[48],"fundamental":[50,72,96,216],"explanation":[51],"for":[52,277],"why":[53],"universe":[55],"exhibits":[56],"exactly":[57],"three":[58,85,90,198],"spatial":[59,86,143],"dimensions":[60,87,276],"one":[62],"temporal":[63],"dimension.":[64],"Our":[65],"investigation":[66],"reveals":[67],"dimensionality":[69],"not":[71],"but":[73,111],"emerges":[74],"specific":[77],"configuration":[78],"\u03a6-field.":[81],"We":[82,131,160],"demonstrate":[83],"correspond":[88],"to":[89,153,221,239,274],"independent":[91,106],"ways":[92],"in":[93,127,203,215,233,310],"informions\u2014the":[95],"quanta":[97],"\u03a6-field\u2014can":[100],"form":[101],"topological":[102],"entanglements.":[103],"A":[104],"fourth":[105,142,172,246],"mode":[107],"exists":[110],"remains":[112],"\"frozen\"":[113],"because":[114],"it":[115],"requires":[116],"higher":[118,275],"local":[119,177],"density":[120],"than":[123],"currently":[125,150],"present":[126,161],"cosmological":[129,155],"average.":[130],"derive":[132],"critical":[134],"threshold":[135],"\u03a6_crit":[136],"=":[137],"0.92":[138],"above":[139],"dimension":[144,148,173,247],"becomes":[145],"accessible.":[146],"inaccessible":[151],"due":[152],"average":[156],"\u2248":[158],"0.75.":[159],"complete":[163],"mathematical":[164],"formalism,":[165],"including":[166],"functional":[168],"relationship":[169],"between":[170,258],"w(x)":[174],"\u03a6-field,":[178],"extended":[180],"metric":[181],"incorporating":[182],"new":[184],"dimension,":[185,228],"second-order":[188],"phase":[189,241],"transition":[190,242],"mechanism":[191],"governing":[192],"dimensional":[193,254,294],"opening.":[194],"theory":[196],"yields":[197],"testable":[199],"predictions:":[200],"anomalous":[201],"dispersion":[202],"gravitational":[204],"waves":[205],"passing":[206],"through":[207],"regions":[208],"high":[210],"\u03a6,":[211],"spatially":[212],"correlated":[213],"variations":[214],"constants":[217],"with":[218,279],"amplitude":[219],"proportional":[220],"scale":[223],"factor":[224],"extra":[227,311],"characteristic":[230],"non-Gaussian":[231],"signatures":[232],"cosmic":[235],"microwave":[236],"background":[237],"corresponding":[238],"during":[243],"closed":[248],"after":[249],"inflation.":[250],"Technological":[251],"implications":[252],"include":[253,287],"shortcuts":[255],"enabling":[256],"travel":[257],"distant":[259],"points":[260],"without":[261],"exotic":[262],"spacetime-independent":[264],"communication":[265],"exceeding":[266],"speed":[268],"light,":[270],"consciousness-mediated":[272],"access":[273],"entities":[278],"recursive":[280],"depth":[281],"R":[282],"\u2265":[283],"8.":[284],"Philosophical":[285],"consequences":[286],"reinterpretation":[289],"multiverse":[292],"layers":[295],"emerging":[296],"at":[297],"different":[298],"values,":[300],"understanding":[302],"time":[304],"manifestation":[307],"motion":[309],"dimensions,":[312],"characterization":[315],"Substrate*":[317],"state":[320],"fully":[322],"open":[323],"dimensions.":[324]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-08-31T00:00:00"}
