{"id":"https://openalex.org/W7166319733","doi":"https://doi.org/10.5281/zenodo.20967817","title":"Quantum Entanglement and Gravity in Discrete Geometric Physics: Geometric Derivation of ER = EPR from the 26 Vertex Cubic Lattice","display_name":"Quantum Entanglement and Gravity in Discrete Geometric Physics: Geometric Derivation of ER = EPR from the 26 Vertex Cubic Lattice","publication_year":2026,"publication_date":"2026-06-27","ids":{"openalex":"https://openalex.org/W7166319733","doi":"https://doi.org/10.5281/zenodo.20967817"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.20967817","doi":"https://doi.org/10.5281/zenodo.20967817","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20967817","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.20967817","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":0.51894114,"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":0.7645999789237976,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.7645999789237976,"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":0.1476999968290329,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.058800000697374344,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/er-epr","display_name":"ER=EPR","score":0.8790000081062317},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"quantum entanglement","score":0.9639999866485596},{"id":"https://openalex.org/keywords/bell-inequality-violation","display_name":"Bell inequality violation","score":0.7870000004768372},{"id":"https://openalex.org/keywords/entanglement-entropy","display_name":"entanglement entropy","score":0.7450000047683716},{"id":"https://openalex.org/keywords/bekenstein-hawking-formula","display_name":"Bekenstein-Hawking formula","score":0.9679999947547913},{"id":"https://openalex.org/keywords/dark-matter","display_name":"dark matter","score":0.7369999885559082},{"id":"https://openalex.org/keywords/dark-energy","display_name":"dark energy","score":0.9980000257492065},{"id":"https://openalex.org/keywords/bounce-cosmology","display_name":"bounce cosmology","score":0.7760000228881836},{"id":"https://openalex.org/keywords/gravitational-waves","display_name":"gravitational waves","score":0.6259999871253967},{"id":"https://openalex.org/keywords/axis-of-evil","display_name":"Axis of Evil","score":0.7950000166893005},{"id":"https://openalex.org/keywords/cosmic-microwave-background-anomalies","display_name":"cosmic microwave background anomalies","score":0.7039999961853027},{"id":"https://openalex.org/keywords/topological-invariants","display_name":"topological invariants","score":0.6899999976158142}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.8314999938011169},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7626000046730042},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.49619999527931213},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.4729999899864197},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.4219000041484833},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.35179999470710754},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3440999984741211},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.3434000015258789},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.3253999948501587},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3215000033378601},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.31459999084472656},{"id":"https://openalex.org/C86294171","wikidata":"https://www.wikidata.org/wiki/Q18373","display_name":"Gravitational constant","level":3,"score":0.2971000075340271},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.2825999855995178},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26190000772476196},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.25429999828338623},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.25279998779296875}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.20967817","doi":"https://doi.org/10.5281/zenodo.20967817","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20967817","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.20967818","doi":"https://doi.org/10.5281/zenodo.20967818","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20967818","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.20967817","doi":"https://doi.org/10.5281/zenodo.20967817","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20967817","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":{"This":[0,200],"work":[1,223],"presents":[2],"a":[3,32,70,101],"complete":[4],"geometric":[5],"derivation":[6],"of":[7,166,175],"quantum":[8],"entanglement":[9,115,130,133,155],"and":[10,40,92,121,142,149,191,214,231],"its":[11],"equivalence":[12],"to":[13],"gravity":[14,125],"(ER":[15],"=":[16,63,74,108,209],"EPR)":[17],"from":[18,46,78,128,184],"the":[19,41,47,55,59,82,106,129,136,146,176,185,195,204,216],"26\u2011vertex":[20],"cubic":[21],"lattice":[22,48],"within":[23],"Discrete":[24],"Geometric":[25],"Physics":[26],"(DGP).":[27],"Entanglement":[28],"is":[29,44,111,126],"defined":[30],"as":[31,173],"common":[33,177],"spiral":[34],"contour":[35,178],"passing":[36],"through":[37],"two":[38],"particles,":[39],"correlation":[42,56],"function":[43,57],"derived":[45,127,183],"geometry.":[49,179],"The":[50,222],"key":[51],"results":[52,181],"are:":[53],"(i)":[54],"has":[58],"form":[60],"\u27e8\u03c3_A":[61],"\u03c3_B\u27e9":[62],"cos\u03b8":[64],"\u00b7":[65,67],"(w_k/\u03a3w)":[66],"e^(\u2212d/\u03bb_coh)":[68],"with":[69,157],"coherence":[71,147,206],"length":[72,148,207],"\u03bb_coh":[73,208],"9.3968":[75,210],"m":[76,80,211],"(corrected":[77],"7.5":[79],"using":[81],"exact":[83],"integer":[84],"level":[85],"N=113);":[86],"(ii)":[87],"Bell":[88],"inequalities":[89],"are":[90,171,182],"modified":[91],"violation":[93],"decays":[94],"on":[95,194],"scales":[96],"beyond":[97],"~15":[98],"m,":[99],"providing":[100],"testable":[102,158],"experimental":[103,232],"threshold;":[104],"(iii)":[105],"ER":[107],"EPR":[109],"theorem":[110],"proved":[112],"rigorously":[113],"\u2014":[114],"(common":[116],"contour)":[117],"generates":[118],"gravitational":[119,159,217],"interaction":[120],"vice":[122],"versa;":[123],"(iv)":[124],"gradient;":[131],"(v)":[132],"entropy":[134],"matches":[135],"Bekenstein\u2011Hawking":[137],"formula;":[138],"(vi)":[139],"dark":[140,143],"matter":[141],"energy":[144],"affect":[145],"phase;":[150],"(vii)":[151],"bounce":[152],"creates":[153],"an":[154],"echo":[156],"wave":[160],"signals;":[161],"(viii)":[162],"cosmological":[163],"anomalies":[164],"(Axis":[165],"Evil,":[167],"CMB":[168],"peaks,":[169],"BAO)":[170],"explained":[172],"manifestations":[174],"All":[180],"topological":[186],"invariants":[187],"\u03a3w=14,":[188],"\u03b8=arcsin(1/\u221a3),":[189],"\u03c6=(1+\u221a5)/2,":[190],"variational":[192],"minimisation":[193],"lattice,":[196],"without":[197],"empirical":[198],"fitting.":[199],"corrected":[201],"version":[202],"uses":[203],"precise":[205],"(a(113)=0.1678":[212],"m)":[213],"clarifies":[215],"basis":[218],"N=116":[219],"(a(116)=1.343":[220],"m).":[221],"includes":[224],"full":[225],"derivations,":[226],"numerical":[227],"tests,":[228],"Python":[229],"code,":[230],"protocols.":[233]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2026-06-28T00:00:00"}