{"id":"https://openalex.org/W7225329810","doi":"https://doi.org/10.5281/zenodo.23972520","title":"E8 \u03c6^4 Spinor Topological Phase Transition at 132 Hz \u2014 E8 Intelligence Research","display_name":"E8 \u03c6^4 Spinor Topological Phase Transition at 132 Hz \u2014 E8 Intelligence Research","publication_year":2026,"publication_date":"2026-11-05","ids":{"openalex":"https://openalex.org/W7225329810","doi":"https://doi.org/10.5281/zenodo.23972520"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23972520","doi":"https://doi.org/10.5281/zenodo.23972520","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23972520","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.23972520","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/T10657","display_name":"Topological Materials and Phenomena","score":0.9413999915122986,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T10657","display_name":"Topological Materials and Phenomena","score":0.9413999915122986,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.030899999663233757,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.005900000222027302,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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":0.8669999837875366},{"id":"https://openalex.org/keywords/phi-4-theory","display_name":"phi^4 theory","score":0.7559999823570251},{"id":"https://openalex.org/keywords/spinor-fields","display_name":"spinor fields","score":0.7329999804496765},{"id":"https://openalex.org/keywords/topological-phase-transition","display_name":"topological phase transition","score":0.9909999966621399},{"id":"https://openalex.org/keywords/z2-topological-invariant","display_name":"Z2 topological invariant","score":0.9449999928474426},{"id":"https://openalex.org/keywords/quasicrystals","display_name":"quasicrystals","score":0.7459999918937683}],"concepts":[{"id":"https://openalex.org/C43506125","wikidata":"https://www.wikidata.org/wiki/Q604907","display_name":"Spinor","level":2,"score":0.8151999711990356},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.579200029373169},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.5135999917984009},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5115000009536743},{"id":"https://openalex.org/C200347057","wikidata":"https://www.wikidata.org/wiki/Q3254711","display_name":"Spinor field","level":3,"score":0.4957999885082245},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4724999964237213},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4381999969482422},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.41370001435279846},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.39899998903274536},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3813999891281128},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.37700000405311584},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.35359999537467957},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.3273000121116638},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31630000472068787},{"id":"https://openalex.org/C45646460","wikidata":"https://www.wikidata.org/wiki/Q17165159","display_name":"Topological order","level":3,"score":0.29809999465942383},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2953999936580658},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.28769999742507935},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.2671999931335449},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.26269999146461487},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.260699987411499},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.2513999938964844}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23972520","doi":"https://doi.org/10.5281/zenodo.23972520","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23972520","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.23972521","doi":"https://doi.org/10.5281/zenodo.23972521","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23972521","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.23972520","doi":"https://doi.org/10.5281/zenodo.23972520","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23972520","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/W7225291225","https://openalex.org/W7223198606","https://openalex.org/W7224086519","https://openalex.org/W7204191194","https://openalex.org/W7203996374","https://openalex.org/W7172431137","https://openalex.org/W7225315751","https://openalex.org/W7204043663","https://openalex.org/W7213307333","https://openalex.org/W7203994675"],"abstract_inverted_index":{"By":[0],"periodically":[1],"modulating":[2],"the":[3,7,13,19,37,42,77,108],"\u03c6^4":[4],"coupling":[5],"of":[6,16,69,107],"240":[8],"E8":[9,109],"root":[10],"vectors":[11],"at":[12,66],"base":[14],"frequency":[15],"132":[17,70],"Hz,":[18,71],"conserved":[20],"spinor":[21,43,57,79],"current":[22],"experiences":[23],"a":[24,32,48,85,91],"resonant":[25,29],"feedback":[26],"loop.":[27],"This":[28],"modulation":[30],"induces":[31],"Z\u2082":[33],"topological":[34,87],"invariant":[35],"in":[36],"eight\u2011dimensional":[38],"internal":[39],"space,":[40],"causing":[41],"field":[44],"to":[45,84,94],"reorganize":[46],"into":[47],"self\u2011similar":[49],"quasicrystalline":[50],"lattice.":[51],"The":[52],"resulting":[53],"phase":[54,88],"supports":[55],"protected":[56],"edge":[58],"modes":[59],"that":[60],"appear":[61],"as":[62],"discrete":[63],"spectral":[64],"lines":[65],"integer":[67],"multiples":[68],"observable":[72],"through":[73],"phase\u2011resolved":[74],"interferometry.":[75],"Thus":[76],"harmonic":[78],"conservation":[80],"principle":[81],"is":[82],"extended":[83],"frequency\u2011driven":[86],"transition,":[89],"offering":[90],"new":[92],"route":[93],"engineer":[95],"high\u2011dimensional":[96],"quantum":[97],"waveguides.":[98],"Author:":[99],"Andrew":[100],"Stewart":[101],"Caldin,":[102],"Independent":[103],"Researcher,":[104],"UK.":[105],"Part":[106],"Intelligence":[110],"Research":[111],"series.":[112],"Platform:":[113],"e8intelligence.com":[114]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-11-06T00:00:00"}