{"id":"https://openalex.org/W7225746192","doi":"https://doi.org/10.5281/zenodo.24107123","title":"The Trefoil Configuration \\(3_1\\), \\(L_k=6\\), \\(\\theta=6\\pi/5\\) Is Not Reducible to Standard Ising, Fibonacci, or Ordinary Spin-Network Models","display_name":"The Trefoil Configuration \\(3_1\\), \\(L_k=6\\), \\(\\theta=6\\pi/5\\) Is Not Reducible to Standard Ising, Fibonacci, or Ordinary Spin-Network Models","publication_year":2026,"publication_date":"2026-11-10","ids":{"openalex":"https://openalex.org/W7225746192","doi":"https://doi.org/10.5281/zenodo.24107123"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24107123","doi":"https://doi.org/10.5281/zenodo.24107123","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24107123","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":"article-journal"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24107123","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5121001463","display_name":"Simon Soliman","orcid":"https://orcid.org/0009-0002-3533-3772","observed_orcids":["https://orcid.org/0009-0002-3533-3772"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Soliman, Simon","raw_affiliation_strings":["TET Collective \u2014 Topology & Entanglement Theory Independent Researcher, Rome, Italy"],"raw_orcid":"https://orcid.org/0009-0002-3533-3772","affiliations":[{"raw_affiliation_string":"TET Collective \u2014 Topology & Entanglement Theory Independent Researcher, Rome, Italy","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5121001463"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9779999852180481,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9779999852180481,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T10304","display_name":"Geometric and Algebraic Topology","score":0.004100000020116568,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.003800000064074993,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.7815999984741211},{"id":"https://openalex.org/C2776971509","wikidata":"https://www.wikidata.org/wiki/Q905612","display_name":"Trefoil","level":2,"score":0.6769000291824341},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.6654999852180481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5620999932289124},{"id":"https://openalex.org/C19794929","wikidata":"https://www.wikidata.org/wiki/Q168620","display_name":"Trefoil knot","level":4,"score":0.5184000134468079},{"id":"https://openalex.org/C2777446375","wikidata":"https://www.wikidata.org/wiki/Q5528","display_name":"Anyon","level":4,"score":0.5145000219345093},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.4453999996185303},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4153999984264374},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.412200003862381},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.41019999980926514},{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.3833000063896179},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.37549999356269836},{"id":"https://openalex.org/C121535716","wikidata":"https://www.wikidata.org/wiki/Q340600","display_name":"Achromatic lens","level":2,"score":0.34040001034736633},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.33570000529289246},{"id":"https://openalex.org/C2776196297","wikidata":"https://www.wikidata.org/wiki/Q17138781","display_name":"Twist","level":2,"score":0.3043999969959259},{"id":"https://openalex.org/C2780350623","wikidata":"https://www.wikidata.org/wiki/Q3055355","display_name":"Topological entropy","level":2,"score":0.3043999969959259},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.2955999970436096},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.27970001101493835},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.2784000039100647},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.26510000228881836},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.2632000148296356},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.257999986410141},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.25459998846054077},{"id":"https://openalex.org/C2779168147","wikidata":"https://www.wikidata.org/wiki/Q460711","display_name":"Checkerboard","level":2,"score":0.25130000710487366}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24107123","doi":"https://doi.org/10.5281/zenodo.24107123","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24107123","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":"article-journal"},{"id":"doi:10.5281/zenodo.24107124","doi":"https://doi.org/10.5281/zenodo.24107124","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24107124","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":"article-journal"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24107123","doi":"https://doi.org/10.5281/zenodo.24107123","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24107123","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":"article-journal"},"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":{"We":[0],"show":[1],"that":[2],"the":[3,8,49,57,61,67],"kinematic":[4],"configuration":[5],"consisting":[6],"of":[7,56,69],"trefoil":[9],"knot":[10],"\\(3_1\\)":[11],"with":[12,26],"linking":[13],"number":[14],"\\(L_k":[15],"=":[16,21],"6\\)":[17],"and":[18,53],"phase":[19,58,62],"\\(\\theta":[20],"6\\pi/5\\)":[22],"cannot":[23],"be":[24],"identified":[25],"an":[27,36],"Ising":[28,71],"anyon":[29,33],"lattice,":[30],"a":[31],"Fibonacci":[32,73],"sector,":[34],"or":[35,72],"ordinary":[37],"loop-quantum-gravity":[38],"spin":[39],"network":[40],"without":[41],"additional":[42],"topological":[43],"constraints.":[44],"The":[45],"area":[46],"spectrum":[47],"remains":[48],"standard":[50],"LQG":[51],"expression":[52],"is":[54],"independent":[55],"sign,":[59],"while":[60],"itself":[63],"does":[64],"not":[65],"match":[66],"R-matrix":[68],"either":[70],"anyons.":[74]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-11T00:00:00"}