{"id":"https://openalex.org/W7113161663","doi":null,"title":"The Tenson Arithmetic Universe: Tensorial Structure of Pure Numbers","display_name":"The Tenson Arithmetic Universe: Tensorial Structure of Pure Numbers","publication_year":2025,"publication_date":"2025-10-19","ids":{"openalex":"https://openalex.org/W7113161663"},"language":"en","primary_location":{"id":"pmh:oai:philarchive.org/rec/NEMTTA-3","doi":null,"is_oa":false,"landing_page_url":"https://philarchive.org/rec/NEMTTA-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306402130","display_name":"PhilPapers (PhilPapers Foundation)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://osf.io/bu3m7","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Nemoto, Ryusho","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Nemoto, Ryusho","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.45954277,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.5884000062942505,"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":0.5884000062942505,"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/T12170","display_name":"History and Theory of Mathematics","score":0.17350000143051147,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T14500","display_name":"Advanced Mathematical Theories","score":0.1340000033378601,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/transcendence","display_name":"transcendence","score":0.5889999866485596},{"id":"https://openalex.org/keywords/prime-numbers","display_name":"prime numbers","score":0.6299999952316284},{"id":"https://openalex.org/keywords/golden-ratio","display_name":"golden ratio","score":0.8529999852180481},{"id":"https://openalex.org/keywords/pi","display_name":"pi","score":0.6470000147819519},{"id":"https://openalex.org/keywords/e","display_name":"e","score":0.7609999775886536},{"id":"https://openalex.org/keywords/square-root-of-2","display_name":"square root of 2","score":0.9430000185966492},{"id":"https://openalex.org/keywords/philosophy-of-mathematics","display_name":"philosophy of mathematics","score":0.7080000042915344}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6578999757766724},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.6263999938964844},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5863000154495239},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5350000262260437},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5321999788284302},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.49300000071525574},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.45669999718666077},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37770000100135803},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36340001225471497},{"id":"https://openalex.org/C94020503","wikidata":"https://www.wikidata.org/wiki/Q12916","display_name":"Real number","level":2,"score":0.35760000348091125},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.3490000069141388},{"id":"https://openalex.org/C158158286","wikidata":"https://www.wikidata.org/wiki/Q9009080","display_name":"Invariants of tensors","level":3,"score":0.33719998598098755},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.30169999599456787},{"id":"https://openalex.org/C40231798","wikidata":"https://www.wikidata.org/wiki/Q1333743","display_name":"Composition (language)","level":2,"score":0.29490000009536743},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.29179999232292175},{"id":"https://openalex.org/C2779361349","wikidata":"https://www.wikidata.org/wiki/Q193359","display_name":"Transcendence (philosophy)","level":2,"score":0.28110000491142273},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27799999713897705},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.26989999413490295},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C155920423","wikidata":"https://www.wikidata.org/wiki/Q4791120","display_name":"Arithmetic circuit complexity","level":3,"score":0.2556000053882599}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:philarchive.org/rec/NEMTTA-3","doi":null,"is_oa":false,"landing_page_url":"https://philarchive.org/rec/NEMTTA-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306402130","display_name":"PhilPapers (PhilPapers Foundation)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:philpapers.org/rec/NEMTTA-3","doi":null,"is_oa":false,"landing_page_url":"https://philpapers.org/rec/NEMTTA-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306402130","display_name":"PhilPapers (PhilPapers Foundation)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:share.osf.io:19229194-d0e2-4031-96a0-3ec785770255","doi":null,"is_oa":true,"landing_page_url":"https://osf.io/bu3m7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401127","display_name":"OSF Preprints (OSF Preprints)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2799848540","host_organization_name":"Center for Open Science","host_organization_lineage":["https://openalex.org/I2799848540"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Project"}],"best_oa_location":{"id":"pmh:oai:share.osf.io:19229194-d0e2-4031-96a0-3ec785770255","doi":null,"is_oa":true,"landing_page_url":"https://osf.io/bu3m7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401127","display_name":"OSF Preprints (OSF Preprints)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2799848540","host_organization_name":"Center for Open Science","host_organization_lineage":["https://openalex.org/I2799848540"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Project"},"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":{"This":[0],"paper":[1],"presents":[2],"a":[3,27,82],"new":[4],"mathematical-philosophical":[5],"framework":[6],"called":[7],"the":[8,41,59],"Tenson":[9],"Arithmetic":[10],"Universe,":[11],"in":[12],"which":[13],"numbers":[14],"themselves":[15],"are":[16],"viewed":[17],"as":[18],"resonant":[19],"tensor":[20],"en-":[21],"tities.":[22],"Each":[23],"number":[24],"n":[25],"possesses":[26],"real-energy":[28],"component":[29,36],"En":[30],"(order)":[31],"and":[32,58,69,77],"an":[33],"imaginary-":[34],"information":[35],"In":[37],"(fluctuation),":[38],"unified":[39],"by":[40],"fundamental":[42],"equation:":[43],"\u2207\u00b7(En":[44],"+":[45],"iIn)":[46],"=":[47],"0.":[48],"Through":[49],"detailed":[50],"analysis":[51],"of":[52,85],"\u03c0,":[53],"e,":[54],"\u221a2,":[55],"prime":[56],"numbers,":[57],"golden":[60],"ratio":[61],"\u03c6,":[62],"we":[63],"demon-":[64],"strate":[65],"that":[66],"arithmetic,":[67],"geometry,":[68],"transcendence":[70],"emerge":[71],"from":[72],"informational":[73],"equilibrium":[74],"between":[75],"energy":[76],"information.":[78],"Mathematics":[79],"itself":[80],"becomes":[81],"tensorial":[83],"field":[84],"reso-":[86],"nance.":[87]},"counts_by_year":[],"updated_date":"2026-10-01T08:54:57.152042","created_date":"2025-12-10T00:00:00"}
