{"id":"https://openalex.org/W7212372382","doi":"https://doi.org/10.5281/zenodo.22720321","title":"Phi\u2011Root E8 Phase\u2011Locked Time Crystal \u2014 E8 Intelligence Research","display_name":"Phi\u2011Root E8 Phase\u2011Locked Time Crystal \u2014 E8 Intelligence Research","publication_year":2026,"publication_date":"2026-09-12","ids":{"openalex":"https://openalex.org/W7212372382","doi":"https://doi.org/10.5281/zenodo.22720321"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.22720321","doi":"https://doi.org/10.5281/zenodo.22720321","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22720321","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.22720321","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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9907000064849854,"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":0.9907000064849854,"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":0.0027000000700354576,"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":0.0010000000474974513,"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-root-system","display_name":"E8 root system","score":0.9169999957084656},{"id":"https://openalex.org/keywords/golden-ratio","display_name":"golden ratio","score":0.7639999985694885},{"id":"https://openalex.org/keywords/time-crystals","display_name":"time crystals","score":0.671999990940094},{"id":"https://openalex.org/keywords/phase-locking","display_name":"phase locking","score":0.8769999742507935},{"id":"https://openalex.org/keywords/fibonacci-ratios","display_name":"Fibonacci ratios","score":0.7609999775886536},{"id":"https://openalex.org/keywords/modular-group","display_name":"modular group","score":0.9490000009536743},{"id":"https://openalex.org/keywords/cross-ratio-invariance","display_name":"cross-ratio invariance","score":0.9129999876022339},{"id":"https://openalex.org/keywords/psl-2-z","display_name":"PSL(2,Z)","score":0.9440000057220459},{"id":"https://openalex.org/keywords/e8-lattice","display_name":"E8 lattice","score":0.5960000157356262},{"id":"https://openalex.org/keywords/temporal-synchronization","display_name":"temporal synchronization","score":0.6779999732971191},{"id":"https://openalex.org/keywords/quantum-information","display_name":"quantum information","score":0.5609999895095825}],"concepts":[{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.6011000275611877},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5877000093460083},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5805000066757202},{"id":"https://openalex.org/C66746571","wikidata":"https://www.wikidata.org/wiki/Q1134833","display_name":"ENCODE","level":3,"score":0.5074999928474426},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4999000132083893},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4625999927520752},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3846000134944916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3817000091075897},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3776000142097473},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.36149999499320984},{"id":"https://openalex.org/C2781285689","wikidata":"https://www.wikidata.org/wiki/Q21921428","display_name":"Crystal (programming language)","level":2,"score":0.3416000008583069},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.326200008392334},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30799999833106995},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3000999987125397},{"id":"https://openalex.org/C17269025","wikidata":"https://www.wikidata.org/wiki/Q3283","display_name":"Geometric phase","level":2,"score":0.29980000853538513},{"id":"https://openalex.org/C135393689","wikidata":"https://www.wikidata.org/wiki/Q1551588","display_name":"Phaser","level":2,"score":0.29100000858306885},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2888000011444092},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.28760001063346863},{"id":"https://openalex.org/C2779014939","wikidata":"https://www.wikidata.org/wiki/Q6510239","display_name":"Learning with errors","level":3,"score":0.28130000829696655},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2653999924659729},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.26269999146461487},{"id":"https://openalex.org/C203101518","wikidata":"https://www.wikidata.org/wiki/Q263214","display_name":"Quasicrystal","level":2,"score":0.26019999384880066},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2590999901294708},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.25769999623298645},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25519999861717224},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.25360000133514404},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.2531000077724457},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.2508000135421753},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.22720321","doi":"https://doi.org/10.5281/zenodo.22720321","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22720321","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":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.22720322","doi":"https://doi.org/10.5281/zenodo.22720322","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22720322","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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.22720321","doi":"https://doi.org/10.5281/zenodo.22720321","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22720321","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":[],"sustainable_development_goals_aurora":[],"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":{"By":[0],"coherently":[1],"phi\u2011coupling":[2],"the":[3,9,28,32,54,59,98],"240":[4],"E8":[5,55,99],"root":[6],"vectors":[7],"at":[8],"132":[10],"Hz":[11],"base":[12],"frequency,":[13],"we":[14],"generate":[15],"a":[16,39,70,78],"self\u2011synchronizing":[17],"phase":[18],"lattice":[19,36],"whose":[20],"temporal":[21,83],"steps":[22],"follow":[23],"Fibonacci":[24],"ratios":[25],"and":[26],"encode":[27],"cross\u2011ratio":[29],"invariance":[30],"of":[31,97],"modular":[33,66],"group.":[34],"This":[35],"behaves":[37],"as":[38],"discrete":[40],"time":[41],"crystal":[42],"that":[43],"predicts":[44],"quantized":[45],"vacuum":[46],"energy":[47],"gaps":[48],"aligned":[49],"with":[50],"PSL(2,Z)":[51],"actions":[52],"on":[53],"fiber.":[56],"It":[57],"extends":[58],"E8\u2011Fractal":[60],"Time":[61],"Synchronization":[62],"breakthrough":[63],"by":[64],"embedding":[65],"symmetry":[67],"directly":[68],"into":[69],"geometric":[71],"phase\u2011locked":[72],"structure.":[73],"The":[74],"resulting":[75],"framework":[76],"offers":[77],"new":[79],"route":[80],"for":[81],"ultra\u2011precise":[82],"coding":[84],"in":[85],"quantum":[86],"information":[87],"platforms.":[88],"Author:":[89],"Andrew":[90],"Stewart":[91],"Caldin,":[92],"Independent":[93],"Researcher,":[94],"UK.":[95],"Part":[96],"Intelligence":[100],"Research":[101],"series.":[102],"Platform:":[103],"e8intelligence.com":[104]},"counts_by_year":[],"updated_date":"2026-10-07T09:51:55.459714","created_date":"2026-09-13T00:00:00"}