{"id":"https://openalex.org/W7225190647","doi":"https://doi.org/10.5281/zenodo.23908948","title":"E8\u2011Phi Clifford Phonon Lattice Realizes Eight\u2011Fold Bott Periodic Topological Qubit Array \u2014 E8 Intelligence Research","display_name":"E8\u2011Phi Clifford Phonon Lattice Realizes Eight\u2011Fold Bott Periodic Topological Qubit Array \u2014 E8 Intelligence Research","publication_year":2026,"publication_date":"2026-11-03","ids":{"openalex":"https://openalex.org/W7225190647","doi":"https://doi.org/10.5281/zenodo.23908948"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23908948","doi":"https://doi.org/10.5281/zenodo.23908948","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23908948","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.23908948","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":0.9419000148773193,"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":0.9419000148773193,"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":0.035100001841783524,"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/T11887","display_name":"Quasicrystal Structures and Properties","score":0.005499999970197678,"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":0.828000009059906},{"id":"https://openalex.org/keywords/clifford-algebra","display_name":"Clifford algebra","score":0.7570000290870667},{"id":"https://openalex.org/keywords/bott-periodicity","display_name":"Bott periodicity","score":0.9950000047683716},{"id":"https://openalex.org/keywords/phononic-lattices","display_name":"phononic lattices","score":0.6420000195503235},{"id":"https://openalex.org/keywords/majorana-zero-modes","display_name":"Majorana zero modes","score":0.8209999799728394},{"id":"https://openalex.org/keywords/non-abelian-anyons","display_name":"non-Abelian anyons","score":0.8569999933242798},{"id":"https://openalex.org/keywords/topological-qubits","display_name":"topological qubits","score":0.8080000281333923},{"id":"https://openalex.org/keywords/lean-4-formalization","display_name":"Lean 4 formalization","score":0.8389999866485596},{"id":"https://openalex.org/keywords/topological-phases","display_name":"topological phases","score":0.6499999761581421},{"id":"https://openalex.org/keywords/point-defects","display_name":"point defects","score":0.4059999883174896}],"concepts":[{"id":"https://openalex.org/C187483380","wikidata":"https://www.wikidata.org/wiki/Q7825042","display_name":"Topological quantum computer","level":3,"score":0.5964000225067139},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5659999847412109},{"id":"https://openalex.org/C55637507","wikidata":"https://www.wikidata.org/wiki/Q5870963","display_name":"Quasiperiodic function","level":2,"score":0.5404999852180481},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.5238000154495239},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49320000410079956},{"id":"https://openalex.org/C100856211","wikidata":"https://www.wikidata.org/wiki/Q674689","display_name":"Clifford algebra","level":3,"score":0.4799000024795532},{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.44609999656677246},{"id":"https://openalex.org/C2777446375","wikidata":"https://www.wikidata.org/wiki/Q5528","display_name":"Anyon","level":4,"score":0.42590001225471497},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4207000136375427},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.39570000767707825},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3921000063419342},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.38769999146461487},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37880000472068787},{"id":"https://openalex.org/C199793620","wikidata":"https://www.wikidata.org/wiki/Q7825030","display_name":"Topological degeneracy","level":5,"score":0.36500000953674316},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.36419999599456787},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.33570000529289246},{"id":"https://openalex.org/C124194741","wikidata":"https://www.wikidata.org/wiki/Q320809","display_name":"Braid","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C53104380","wikidata":"https://www.wikidata.org/wiki/Q4327971","display_name":"Zero-point energy","level":2,"score":0.3269999921321869},{"id":"https://openalex.org/C102565666","wikidata":"https://www.wikidata.org/wiki/Q1378301","display_name":"Universal set","level":3,"score":0.31360000371932983},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3043999969959259},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.29899999499320984},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.29589998722076416},{"id":"https://openalex.org/C203101518","wikidata":"https://www.wikidata.org/wiki/Q263214","display_name":"Quasicrystal","level":2,"score":0.28290000557899475},{"id":"https://openalex.org/C24169881","wikidata":"https://www.wikidata.org/wiki/Q186608","display_name":"Phonon","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28110000491142273},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C527218924","wikidata":"https://www.wikidata.org/wiki/Q964053","display_name":"Topological algebra","level":3,"score":0.27649998664855957},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.27459999918937683}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23908948","doi":"https://doi.org/10.5281/zenodo.23908948","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23908948","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.23908949","doi":"https://doi.org/10.5281/zenodo.23908949","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23908949","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.23908948","doi":"https://doi.org/10.5281/zenodo.23908948","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23908948","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/W7223697923","https://openalex.org/W7221345031","https://openalex.org/W7214458402","https://openalex.org/W7224133824","https://openalex.org/W7204714180","https://openalex.org/W7172341001","https://openalex.org/W7214477645","https://openalex.org/W7221794582","https://openalex.org/W7221023906","https://openalex.org/W7214002943"],"abstract_inverted_index":{"By":[0],"assigning":[1],"each":[2],"of":[3,40,50,106,114,125],"the":[4,22,37,65,94,101,112,126],"240":[5],"E8":[6,127],"root":[7],"vectors":[8],"a":[9,48,58,86],"phononic":[10,54],"mode":[11],"with":[12,100],"frequency":[13],"f\u2099":[14],"=":[15,19],"132":[16],"Hz\u00b7\u03c6\u207f":[17],"(\u03c6":[18],"golden":[20],"ratio),":[21],"resulting":[23],"quasiperiodic":[24],"acoustic":[25,96],"lattice":[26,66],"exhibits":[27],"an":[28],"eightfold":[29],"degeneracy":[30,46],"in":[31,64],"its":[32],"band":[33],"structure":[34],"that":[35,56,91],"mirrors":[36],"Bott":[38],"periodicity":[39],"real":[41],"Clifford":[42,59],"algebras":[43],"Cl(p,q).":[44],"This":[45],"yields":[47],"set":[49],"eight":[51],"mutually":[52],"anticommuting":[53],"operators":[55],"form":[57],"representation,":[60],"allowing":[61],"point":[62],"defects":[63],"to":[67],"host":[68],"Majorana\u2011like":[69],"zero":[70,83],"modes":[71],"obeying":[72],"non\u2011Abelian":[73],"Ising":[74],"anyon":[75],"statistics.":[76],"Acoustic":[77],"strain":[78],"pulses":[79],"can":[80],"braid":[81],"these":[82],"modes,":[84],"providing":[85],"topologically":[87],"protected":[88],"qubit":[89],"platform":[90],"directly":[92],"links":[93],"E8\u2011Phi":[95],"Goldbach":[97,109],"verification":[98],"scheme":[99],"ongoing":[102],"Lean":[103],"4":[104],"formalization":[105],"Helfgott's":[107],"ternary":[108],"proof":[110],"and":[111],"classification":[113],"topological":[115],"phases.":[116],"Author:":[117],"Andrew":[118],"Stewart":[119],"Caldin,":[120],"Independent":[121],"Researcher,":[122],"UK.":[123],"Part":[124],"Intelligence":[128],"Research":[129],"series.":[130],"Platform:":[131],"e8intelligence.com":[132]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-11-04T00:00:00"}