{"id":"https://openalex.org/W7225457633","doi":"https://doi.org/10.5281/zenodo.24029602","title":"Quantum Social Decision-Making: Contextual Belief States and Heisenberg\u2011Type Agent Interactions \u2014 E8 Intelligence Research","display_name":"Quantum Social Decision-Making: Contextual Belief States and Heisenberg\u2011Type Agent Interactions \u2014 E8 Intelligence Research","publication_year":2026,"publication_date":"2026-11-07","ids":{"openalex":"https://openalex.org/W7225457633","doi":"https://doi.org/10.5281/zenodo.24029602"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24029602","doi":"https://doi.org/10.5281/zenodo.24029602","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24029602","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.24029602","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136862907","display_name":"Andrew Stewart Caldin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Caldin, Andrew Stewart","raw_affiliation_strings":["Independent Researcher, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent Researcher, United Kingdom","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5136862907"],"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.4262999892234802,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.4262999892234802,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.40310001373291016,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.04399999976158142,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-decision-making","display_name":"quantum decision making","score":0.8820000290870667},{"id":"https://openalex.org/keywords/social-actors","display_name":"social actors","score":0.8069999814033508},{"id":"https://openalex.org/keywords/golden-ratio","display_name":"golden ratio","score":0.8209999799728394},{"id":"https://openalex.org/keywords/fairness-constraints","display_name":"fairness constraints","score":0.7710000276565552}],"concepts":[{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5619999766349792},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5460000038146973},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5055999755859375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4731000065803528},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.43869999051094055},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.41359999775886536},{"id":"https://openalex.org/C179957908","wikidata":"https://www.wikidata.org/wiki/Q907206","display_name":"POVM","level":5,"score":0.39160001277923584},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3765999972820282},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.37439998984336853},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.36640000343322754},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.35910001397132874},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.34790000319480896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33880001306533813},{"id":"https://openalex.org/C165973109","wikidata":"https://www.wikidata.org/wiki/Q894014","display_name":"Quantum probability","level":5,"score":0.32820001244544983},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3138999938964844},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.30720001459121704},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.2937999963760376},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.29330000281333923},{"id":"https://openalex.org/C189352744","wikidata":"https://www.wikidata.org/wiki/Q1971461","display_name":"Social choice theory","level":2,"score":0.2906999886035919},{"id":"https://openalex.org/C49555168","wikidata":"https://www.wikidata.org/wiki/Q176583","display_name":"Stochastic matrix","level":3,"score":0.287200003862381},{"id":"https://openalex.org/C199521495","wikidata":"https://www.wikidata.org/wiki/Q181487","display_name":"Audit","level":2,"score":0.28630000352859497},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.2824000120162964},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.27720001339912415},{"id":"https://openalex.org/C2777036070","wikidata":"https://www.wikidata.org/wiki/Q18393452","display_name":"Random projection","level":2,"score":0.271699994802475},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2700999975204468},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.26820001006126404},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.26579999923706055},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.26080000400543213},{"id":"https://openalex.org/C120936955","wikidata":"https://www.wikidata.org/wiki/Q2155640","display_name":"Empirical research","level":2,"score":0.2599000036716461},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25600001215934753},{"id":"https://openalex.org/C128913409","wikidata":"https://www.wikidata.org/wiki/Q3566063","display_name":"Belief revision","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24029602","doi":"https://doi.org/10.5281/zenodo.24029602","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24029602","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.24029603","doi":"https://doi.org/10.5281/zenodo.24029603","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24029603","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.24029602","doi":"https://doi.org/10.5281/zenodo.24029602","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24029602","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/W2103057664","https://openalex.org/W7171552155","https://openalex.org/W4319347778","https://openalex.org/W124751261","https://openalex.org/W2769872354","https://openalex.org/W6885138783","https://openalex.org/W1895102105","https://openalex.org/W4410104728","https://openalex.org/W7105754392","https://openalex.org/W6941191687"],"abstract_inverted_index":{"**FINDING":[0,96],"1**:":[1],"Quantum":[2],"decision":[3],"making":[4],"by":[5,50],"social":[6,44],"agents":[7],"(arXiv:1202.4918v2)":[8],"**MATH**:":[9,105],"-":[10,21,28,46,106,122],"State":[11],"vector":[12],"|\u03c8\u27e9":[13],"\u2208":[14],"\u2102\u207f":[15],"representing":[16],"an":[17],"agent's":[18],"belief":[19],"state.":[20],"Decision":[22,107],"observable":[23],"\u010e":[24],"with":[25,133],"eigenvalues":[26],"d\u2081,\u2026,d_k.":[27],"Probability":[29],"of":[30,62,100,119,142],"choice":[31],"d_i":[32],"given":[33],"context":[34],"C:":[35],"P(d_i|C)=\u27e8\u03c8|\u03a0_i^C|\u03c8\u27e9,":[36],"where":[37],"\u03a0_i^C":[38],"are":[39],"projection":[40],"operators":[41],"conditioned":[42],"on":[43],"information.":[45],"Inter\u2011agent":[47],"interaction":[48],"modeled":[49],"a":[51,88,111],"unitary":[52],"coupling":[53,67],"U_{AB}=exp(\u2011i":[54],"J":[55,59,69],"\u03c3_A\u00b7\u03c3_B)":[56],"(Heisenberg\u2011type":[57],"exchange),":[58],"\u221d":[60],"strength":[61],"information":[63],"flow.":[64],"**CONNECTION**:":[65],"The":[66],"matrix":[68],"often":[70],"exhibits":[71],"eigenvalue":[72],"ratios":[73],"\u2248":[74],"0.618":[75],":":[76],"1":[77],"(golden\u2011ratio)":[78],"when":[79],"calibrated":[80],"to":[81],"empirical":[82],"\"minority\u2011majority\"":[83],"transition":[84],"thresholds,":[85],"hinting":[86],"at":[87],"\u03c6\u2011scaling":[89],"in":[90],"opinion":[91],"bifurcations.":[92],"**DEPTH**:":[93],"7":[94],"---":[95],"2**:":[97],"Ethics\u2011Based":[98],"Auditing":[99],"Automated":[101],"Decision\u2011Making":[102],"Systems":[103],"(arXiv:2110.10980v1)":[104],"pipeline":[108],"expressed":[109],"as":[110,126],"stochastic":[112],"map":[113],"\ud835\udc9f:":[114],"\u211d^m":[115],"\u2192":[116],"\u0394_k":[117],"(simplex":[118],"k":[120],"outcomes).":[121],"Fairness":[123],"constraints":[124],"encoded":[125],"linear":[127],"inequalities":[128],"A":[129],"p":[130],"\u2264":[131],"b,":[132],"Author:":[134],"Andrew":[135],"Stewart":[136],"Caldin,":[137],"Independent":[138],"Researcher,":[139],"UK.":[140],"Part":[141],"the":[143],"E8":[144],"Intelligence":[145],"Research":[146],"series.":[147],"Platform:":[148],"e8intelligence.com":[149]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-11-08T00:00:00"}