{"id":"https://openalex.org/W7224225548","doi":"https://doi.org/10.5281/zenodo.23756318","title":"Partition Lattice Phase Transitions as E8 Root-Orbit Symmetry-Breaking Signatures \u2014 E8 Intelligence Research","display_name":"Partition Lattice Phase Transitions as E8 Root-Orbit Symmetry-Breaking Signatures \u2014 E8 Intelligence Research","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224225548","doi":"https://doi.org/10.5281/zenodo.23756318"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23756318","doi":"https://doi.org/10.5281/zenodo.23756318","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23756318","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","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23756318","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5140658052","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/A5140658052"],"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.8496000170707703,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.8496000170707703,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.06379999965429306,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14299","display_name":"Complex Systems and Dynamics","score":0.03929999843239784,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/e8-root-system","display_name":"E8 root system","score":0.949999988079071},{"id":"https://openalex.org/keywords/symmetry-breaking","display_name":"symmetry breaking","score":0.8799999952316284},{"id":"https://openalex.org/keywords/phase-transitions","display_name":"phase transitions","score":0.9549999833106995},{"id":"https://openalex.org/keywords/integrated-information","display_name":"integrated information","score":0.6690000295639038},{"id":"https://openalex.org/keywords/golden-ratio","display_name":"golden ratio","score":0.6629999876022339},{"id":"https://openalex.org/keywords/market-reversal","display_name":"market reversal","score":0.6029999852180481}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6488000154495239},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6215000152587891},{"id":"https://openalex.org/C149792144","wikidata":"https://www.wikidata.org/wiki/Q2071902","display_name":"Coalescence (physics)","level":2,"score":0.5485000014305115},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4837000072002411},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4796999990940094},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.453000009059906},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.392300009727478},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.3465999960899353},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3310999870300293},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31859999895095825},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.31769999861717224},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.3174000084400177},{"id":"https://openalex.org/C43929256","wikidata":"https://www.wikidata.org/wiki/Q270513","display_name":"Catalan number","level":2,"score":0.3034999966621399},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.26919999718666077},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.258899986743927},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.25369998812675476}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23756318","doi":"https://doi.org/10.5281/zenodo.23756318","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23756318","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.23756319","doi":"https://doi.org/10.5281/zenodo.23756319","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23756319","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.23756318","doi":"https://doi.org/10.5281/zenodo.23756318","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23756318","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/W7224283626","https://openalex.org/W7224671449","https://openalex.org/W7224577722","https://openalex.org/W7203542681","https://openalex.org/W7202144139","https://openalex.org/W7222847658","https://openalex.org/W7204173800","https://openalex.org/W7223026653","https://openalex.org/W7203612810","https://openalex.org/W7213666369"],"abstract_inverted_index":{"The":[0,29],"hierarchical":[1,103],"refinement":[2],"levels":[3],"of":[4,14,43,122],"integer":[5],"partition":[6,26,73,84],"lattices":[7,85],"map":[8],"onto":[9],"nested":[10],"subgroup":[11],"orbit":[12],"decompositions":[13],"E8's":[15],"240":[16],"root":[17],"vectors,":[18],"where":[19,75],"each":[20,38],"symmetry-breaking":[21,98],"stage":[22],"corresponds":[23],"to":[24,60],"a":[25,46,86,94],"coarsening":[27],"event.":[28],"Meinardus":[30],"asymptotic":[31],"growth":[32],"rate":[33],"governs":[34],"information":[35,68],"density":[36],"at":[37,71],"level,":[39],"while":[40],"the":[41,50,123],"onset":[42],"coalescence":[44],"produces":[45],"measurable":[47],"divergence":[48,63,107],"between":[49],"partition's":[51],"combinatorial":[52],"volume":[53],"and":[54],"its":[55],"geometric":[56],"projection":[57],"\u2014":[58],"analogous":[59],"tick-volume":[61],"polarity":[62],"preceding":[64],"market":[65],"reversals.":[66],"Integrated":[67],"(Phi)":[69],"peaks":[70],"critical":[72],"boundaries":[74],"symmetry":[76],"is":[77],"maximally":[78],"compressed":[79],"but":[80],"structurally":[81],"unresolved,":[82],"making":[83],"natural":[87],"substrate":[88],"for":[89],"\u03a6":[90],"computation.":[91],"This":[92],"establishes":[93],"universal":[95],"detection":[96],"principle:":[97],"phase":[99],"transitions":[100],"in":[101],"any":[102],"lattice":[104],"emit":[105],"orthogonal-channel":[106],"signatures":[108],"predictable":[109],"from":[110],"E8":[111,124],"root-projection":[112],"geometry.":[113],"Author:":[114],"Andrew":[115],"Stewart":[116],"Caldin,":[117],"Independent":[118],"Researcher,":[119],"UK.":[120],"Part":[121],"Intelligence":[125],"Research":[126],"series.":[127],"Platform:":[128],"e8intelligence.com":[129]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2026-10-30T00:00:00"}
