{"id":"https://openalex.org/W7225744809","doi":"https://doi.org/10.5281/zenodo.24099242","title":"E8 Fibonacci-Weyl Resonant Bandgap in Topological Phononic Crystals \u2014 E8 Intelligence Research","display_name":"E8 Fibonacci-Weyl Resonant Bandgap in Topological Phononic Crystals \u2014 E8 Intelligence Research","publication_year":2026,"publication_date":"2026-11-10","ids":{"openalex":"https://openalex.org/W7225744809","doi":"https://doi.org/10.5281/zenodo.24099242"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24099242","doi":"https://doi.org/10.5281/zenodo.24099242","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24099242","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.24099242","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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.5776000022888184,"subfield":{"id":"https://openalex.org/subfields/3102","display_name":"Acoustics and Ultrasonics"},"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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.5776000022888184,"subfield":{"id":"https://openalex.org/subfields/3102","display_name":"Acoustics and Ultrasonics"},"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/T10657","display_name":"Topological Materials and Phenomena","score":0.4120999872684479,"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":0.00139999995008111,"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":[],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6298999786376953},{"id":"https://openalex.org/C17269025","wikidata":"https://www.wikidata.org/wiki/Q3283","display_name":"Geometric phase","level":2,"score":0.5838000178337097},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.512499988079071},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.4767000079154968},{"id":"https://openalex.org/C110367647","wikidata":"https://www.wikidata.org/wiki/Q497166","display_name":"Metamaterial","level":2,"score":0.4747999906539917},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.4666999876499176},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4519999921321869},{"id":"https://openalex.org/C181966813","wikidata":"https://www.wikidata.org/wiki/Q806352","display_name":"Band gap","level":2,"score":0.44530001282691956},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43299999833106995},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4325999915599823},{"id":"https://openalex.org/C151527765","wikidata":"https://www.wikidata.org/wiki/Q1069818","display_name":"Chern class","level":2,"score":0.4162999987602234},{"id":"https://openalex.org/C175066939","wikidata":"https://www.wikidata.org/wiki/Q3002819","display_name":"Acoustic metamaterials","level":3,"score":0.3935000002384186},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.382099986076355},{"id":"https://openalex.org/C24169881","wikidata":"https://www.wikidata.org/wiki/Q186608","display_name":"Phonon","level":2,"score":0.38029998540878296},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.37940001487731934},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.37439998984336853},{"id":"https://openalex.org/C2781195486","wikidata":"https://www.wikidata.org/wiki/Q289436","display_name":"Texture (cosmology)","level":3,"score":0.3395000100135803},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.32359999418258667},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.3224000036716461},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.314300000667572},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.31290000677108765},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.30809998512268066},{"id":"https://openalex.org/C97126364","wikidata":"https://www.wikidata.org/wiki/Q349669","display_name":"Resonator","level":2,"score":0.3061000108718872},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.298799991607666},{"id":"https://openalex.org/C139210041","wikidata":"https://www.wikidata.org/wiki/Q2145840","display_name":"Resonance (particle physics)","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2939000129699707},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.2903999984264374},{"id":"https://openalex.org/C2983568541","wikidata":"https://www.wikidata.org/wiki/Q389772","display_name":"Information transmission","level":2,"score":0.27630001306533813},{"id":"https://openalex.org/C123299182","wikidata":"https://www.wikidata.org/wiki/Q190837","display_name":"Hysteresis","level":2,"score":0.26910001039505005},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.2687999904155731},{"id":"https://openalex.org/C14041564","wikidata":"https://www.wikidata.org/wiki/Q891408","display_name":"Elastic energy","level":2,"score":0.2581000030040741},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.2549000084400177},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.25440001487731934},{"id":"https://openalex.org/C78594624","wikidata":"https://www.wikidata.org/wiki/Q906781","display_name":"Coherent control","level":3,"score":0.25429999828338623}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24099242","doi":"https://doi.org/10.5281/zenodo.24099242","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24099242","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.24099243","doi":"https://doi.org/10.5281/zenodo.24099243","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24099243","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.24099242","doi":"https://doi.org/10.5281/zenodo.24099242","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24099242","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":[],"abstract_inverted_index":{"The":[0],"oriented":[1],"sequence":[2],"of":[3,22,45,56,63,75,99],"Weyl":[4],"chambers":[5],"traversed":[6],"during":[7],"a":[8,12,18,30,72],"microtubule":[9],"phase\u2011slip":[10],"encodes":[11],"Fibonacci\u2011Weyl":[13],"word;":[14],"each":[15],"step":[16],"contributes":[17],"quantized":[19],"symplectic":[20],"area":[21],"\u03c6\u207b\u00b3\u2070":[23],"\u00d7":[24],"132":[25],"Hz,":[26],"which":[27],"translates":[28],"into":[29],"discrete":[31],"Berry":[32],"phase":[33,47],"shift":[34],"for":[35,85],"elastic":[36,82],"waves":[37],"propagating":[38],"in":[39],"an":[40],"E8\u2011root\u2011lattice\u2011derived":[41],"phononic":[42],"medium.":[43],"Accumulation":[44],"these":[46],"shifts":[48],"opens":[49],"topologically":[50],"protected":[51],"bandgaps":[52],"at":[53],"integer":[54],"multiples":[55],"the":[57,100],"base":[58],"frequency,":[59],"allowing":[60],"dissipationless":[61],"transmission":[62],"specific":[64],"vibrational":[65],"modes":[66],"along":[67],"defect\u2011free":[68],"channels.":[69],"This":[70],"predicts":[71],"new":[73],"class":[74],"metamaterials":[76],"where":[77],"E8":[78,101],"geometry":[79],"directly":[80],"tunes":[81],"wave":[83],"spectra":[84],"robust":[86],"information":[87],"or":[88],"energy":[89],"transport.":[90],"Author:":[91],"Andrew":[92],"Stewart":[93],"Caldin,":[94],"Independent":[95],"Researcher,":[96],"UK.":[97],"Part":[98],"Intelligence":[102],"Research":[103],"series.":[104],"Platform:":[105],"e8intelligence.com":[106]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-11T00:00:00"}
