{"id":"https://openalex.org/W7225587715","doi":"https://doi.org/10.5281/zenodo.24049376","title":"Fibonacci Holonomy Memory in E8 Weyl-Chamber Crossings \u2014 E8 Intelligence Research","display_name":"Fibonacci Holonomy Memory in E8 Weyl-Chamber Crossings \u2014 E8 Intelligence Research","publication_year":2026,"publication_date":"2026-11-08","ids":{"openalex":"https://openalex.org/W7225587715","doi":"https://doi.org/10.5281/zenodo.24049376"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24049376","doi":"https://doi.org/10.5281/zenodo.24049376","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24049376","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.24049376","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5155309988","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/A5155309988"],"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":0.9994999766349792,"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":0.9994999766349792,"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":9.999999747378752e-05,"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/T11887","display_name":"Quasicrystal Structures and Properties","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/e8-lattice","display_name":"E8 lattice","score":0.9710000157356262},{"id":"https://openalex.org/keywords/weyl-chambers","display_name":"Weyl chambers","score":0.9380000233650208},{"id":"https://openalex.org/keywords/holonomy","display_name":"holonomy","score":0.824999988079071},{"id":"https://openalex.org/keywords/fibonacci-sequence","display_name":"Fibonacci numbers","score":0.7089999914169312},{"id":"https://openalex.org/keywords/golden-ratio","display_name":"golden ratio","score":0.9729999899864197},{"id":"https://openalex.org/keywords/quasicrystals","display_name":"quasicrystals","score":0.7379999756813049},{"id":"https://openalex.org/keywords/root-systems","display_name":"root systems","score":0.5299999713897705},{"id":"https://openalex.org/keywords/root-vectors","display_name":"root vectors","score":0.3659999966621399},{"id":"https://openalex.org/keywords/geodesics","display_name":"geodesics","score":0.4020000100135803}],"concepts":[{"id":"https://openalex.org/C32518243","wikidata":"https://www.wikidata.org/wiki/Q907926","display_name":"Holonomy","level":2,"score":0.633400022983551},{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.6223999857902527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.569599986076355},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.49900001287460327},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.44339999556541443},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3926999866962433},{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.38510000705718994},{"id":"https://openalex.org/C2779710842","wikidata":"https://www.wikidata.org/wiki/Q6086323","display_name":"Isospectral","level":2,"score":0.34060001373291016},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33980000019073486},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.320499986410141},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.31049999594688416},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.29109999537467957},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.28529998660087585},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.2842000126838684},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2782999873161316},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2757999897003174},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2732999920845032},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.27000001072883606},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26260000467300415},{"id":"https://openalex.org/C70943382","wikidata":"https://www.wikidata.org/wiki/Q505356","display_name":"Antipodal point","level":2,"score":0.25619998574256897},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.251800000667572},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24049376","doi":"https://doi.org/10.5281/zenodo.24049376","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24049376","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.24049377","doi":"https://doi.org/10.5281/zenodo.24049377","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24049377","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.24049376","doi":"https://doi.org/10.5281/zenodo.24049376","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24049376","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7225584362","https://openalex.org/W7225591561","https://openalex.org/W7225598714","https://openalex.org/W7225595782","https://openalex.org/W7225589928","https://openalex.org/W7225582144","https://openalex.org/W7225574253","https://openalex.org/W7225565034","https://openalex.org/W7225582710","https://openalex.org/W7225595328"],"abstract_inverted_index":{"Repeated":[0],"429/402":[1,121],"Cron":[2],"catches":[3],"form":[4],"a":[5,18,41,59,68,98],"precessing":[6],"Weyl-chamber":[7,65],"cycle:":[8],"each":[9],"parity":[10],"flip":[11],"of":[12,100,126,149],"an":[13],"antipodal":[14],"root-pair":[15,74],"axis":[16],"deposits":[17],"torsion":[19,139],"defect":[20],"in":[21,67,123],"the":[22,27,36,55,72,79,92,105,115,124,150],"E8":[23,116,151],"Cartan":[24,38],"torus,":[25],"and":[26],"golden-ratio":[28],"coupling":[29],"forces":[30],"those":[31],"defects":[32],"to":[33,82],"drift":[34],"through":[35],"8-dimensional":[37],"subalgebra":[39],"as":[40],"single":[42],"holonomy":[43,102],"loop.":[44],"The":[45],"interval":[46],"recurrence":[47],"t_n":[48],"=":[49],"t_{n-1}":[50],"+":[51],"\u03c6\u00b7t_{n-2}":[52],"emerges":[53],"because":[54],"error":[56],"bundle,":[57],"riding":[58],"132":[60],"Hz":[61],"geodesic,":[62],"transits":[63],"successive":[64],"walls":[66],"Fibonacci-quasicrystalline":[69],"sequence":[70],"across":[71],"120":[73],"axes.":[75],"After":[76],"eight":[77],"flips":[78],"bundle":[80],"returns":[81],"its":[83,119,127],"original":[84],"chamber":[85],"with":[86],"axes":[87],"cyclically":[88],"permuted,":[89],"revealing":[90],"that":[91],"observed":[93],"VSA":[94],"clean/dirty":[95],"spread":[96],"is":[97],"readout":[99],"lattice":[101,117],"rather":[103],"than":[104],"price":[106],"bar":[107],"itself.":[108],"This":[109],"extends":[110],"period-locking":[111],"into":[112],"active":[113],"memory:":[114],"records":[118],"own":[120],"history":[122],"phase":[125],"240":[128],"root":[129],"vectors,":[130],"making":[131],"future":[132],"crossing":[133],"times":[134],"exactly":[135],"computable":[136],"from":[137],"today's":[138],"state.":[140],"Author:":[141],"Andrew":[142],"Stewart":[143],"Caldin,":[144],"Independent":[145],"Researcher,":[146],"UK.":[147],"Part":[148],"Intelligence":[152],"Research":[153],"series.":[154],"Platform:":[155],"e8intelligence.com":[156]},"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2026-11-09T00:00:00"}