{"id":"https://openalex.org/W7225757297","doi":"https://doi.org/10.5281/zenodo.24120716","title":"From Relational Gravity to Spectral Geometry: An EAS\u2013NCG Correspondence","display_name":"From Relational Gravity to Spectral Geometry: An EAS\u2013NCG Correspondence","publication_year":2026,"publication_date":"2026-11-10","ids":{"openalex":"https://openalex.org/W7225757297","doi":"https://doi.org/10.5281/zenodo.24120716"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24120716","doi":"https://doi.org/10.5281/zenodo.24120716","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24120716","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.24120716","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134082409","display_name":"Michael E. Labhard","orcid":"https://orcid.org/0009-0008-0231-7067","observed_orcids":["https://orcid.org/0009-0008-0231-7067"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michael E. Labhard\\, 0009-0008-0231-7067","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":"https://orcid.org/0009-0008-0231-7067","affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5134082409"],"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.7279999852180481,"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"}},"topics":[{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.7279999852180481,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.23319999873638153,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.01720000058412552,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5788999795913696},{"id":"https://openalex.org/C115304011","wikidata":"https://www.wikidata.org/wiki/Q72755","display_name":"Schwarzschild radius","level":3,"score":0.5138999819755554},{"id":"https://openalex.org/C136125196","wikidata":"https://www.wikidata.org/wiki/Q742969","display_name":"Schwarzschild metric","level":3,"score":0.48910000920295715},{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.4787999987602234},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.46860000491142273},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.4474000036716461},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.4221999943256378},{"id":"https://openalex.org/C49976459","wikidata":"https://www.wikidata.org/wiki/Q17103517","display_name":"Spectral triple","level":4,"score":0.37540000677108765},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36550000309944153},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3440999984741211},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.34150001406669617},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.3409999907016754},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.3208000063896179},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3165999948978424},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3109999895095825},{"id":"https://openalex.org/C134328617","wikidata":"https://www.wikidata.org/wiki/Q546984","display_name":"Linearized gravity","level":3,"score":0.3003000020980835},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.2996000051498413},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.28949999809265137},{"id":"https://openalex.org/C43506125","wikidata":"https://www.wikidata.org/wiki/Q604907","display_name":"Spinor","level":2,"score":0.28119999170303345},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27950000762939453},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.25920000672340393},{"id":"https://openalex.org/C82601208","wikidata":"https://www.wikidata.org/wiki/Q272621","display_name":"Dirac equation","level":2,"score":0.2542000114917755},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.25189998745918274}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24120716","doi":"https://doi.org/10.5281/zenodo.24120716","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24120716","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.24120717","doi":"https://doi.org/10.5281/zenodo.24120717","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24120717","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.24120716","doi":"https://doi.org/10.5281/zenodo.24120716","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24120716","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":[],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2],"archived":[3],"as":[4,232],"a":[5,95,166,184,190],"speculative":[6],"research":[7],"work.Entanglement\u2013Algebraic":[8],"Spacetime":[9],"(EAS)":[10],"formulates":[11],"its":[12,161,175,218],"Scalar":[13],"Fields":[14],"(SFs)":[15],"in":[16,71,213],"terms":[17],"of":[18,76,140,146],"reciprocal,":[19],"phase-indexed":[20],"binary":[21],"relationships":[22],"and":[23,45,57,60,100,114,144,165,217,228],"scalar-bearing":[24],"relational":[25,199],"organizations,":[26],"rather":[27],"than":[28],"an":[29,171,196],"antecedent":[30,216],"spacetime":[31],"metric.":[32],"The":[33,80,149,210],"EAS":[34],"gravitational":[35,147,208],"series":[36],"develops":[37],"qualified":[38],"source":[39,123,200],"registrations":[40],"from":[41,127,134,195],"this":[42],"algebraic":[43],"foundation":[44],"connects":[46],"them,":[47],"under":[48,170],"explicitly":[49],"admitted":[50],"gravitational-interface":[51],"hypotheses,":[52],"to":[53,179,206],"isolated":[54,91],"Schwarzschild":[55,92,130],"geometry":[56,78],"nonlinear":[58,141],"Brill\u2013Lindquist":[59],"Bowen\u2013York":[61],"Einstein":[62],"initial":[63,103],"data.":[64],"We":[65],"establish":[66,189],"the":[67,72,90,101,128,156,180,214,222,225,233],"corresponding":[68,234],"operator-theoretic":[69],"formulation":[70],"commutative":[73],"spin":[74,98],"sector":[75],"noncommutative":[77],"(NCG).":[79],"finite-source":[81],"spatial":[82],"manifolds":[83],"admit":[84,105],"complete":[85,96,106],"nonunital":[86],"Dirac":[87,152,227],"spectral":[88,153,207],"triples,":[89],"exterior":[93],"admits":[94],"Euclidean":[97,129],"representation,":[99],"multiple-source":[102],"data":[104],"four-dimensional":[107,151],"Riemannian":[108],"extensions":[109],"preserving":[110],"their":[111],"induced":[112],"metrics":[113],"signed":[115],"extrinsic":[116],"curvatures":[117],"on":[118,183],"marked,":[119],"cooriented":[120],"hypersurfaces.":[121],"Original":[122],"coefficients":[124],"are":[125],"recovered":[126],"bolt":[131],"area":[132],"or":[133],"marked":[135],"conformal":[136],"puncture":[137],"residues,":[138],"independently":[139,197],"geometric":[142,226],"contributions":[143],"changes":[145],"state.":[148],"localized":[150],"action":[154],"contains":[155],"Einstein\u2013Hilbert":[157],"curvature":[158],"term":[159],"with":[160],"standard":[162],"heat-kernel":[163],"coefficient":[164],"positive":[167],"effective":[168],"coupling":[169],"explicit":[172],"spectral-moment":[173],"condition;":[174],"weighted":[176],"variation":[177,182],"reduces":[178],"Einstein-tensor":[181],"localization":[185],"plateau.":[186],"These":[187],"results":[188],"certified":[191],"conditional,":[192],"source-preserving":[193],"correspondence":[194],"specified":[198],"foundation,":[201],"through":[202],"selected":[203],"general-relativistic":[204],"representations,":[205],"geometry.":[209],"novelty":[211],"resides":[212],"SF":[215],"recoverable":[219],"continuation":[220],"across":[221],"physical":[223],"interfaces;":[224],"spectral-action":[229],"mathematics":[230],"serve":[231],"interface":[235],"representation.":[236]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-11T00:00:00"}