{"id":"https://openalex.org/W7224659835","doi":"https://doi.org/10.5281/zenodo.23776102","title":"Internal Clifford Geometry and Relational Temporal Structure","display_name":"Internal Clifford Geometry and Relational Temporal Structure","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224659835","doi":"https://doi.org/10.5281/zenodo.23776102"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23776102","doi":"https://doi.org/10.5281/zenodo.23776102","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23776102","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.23776102","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5138643822","display_name":"Razvan Mihai Moldoveanu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Moldoveanu, Razvan Mihai","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":"https://orcid.org/0009-0004-3200-0504","affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5138643822"],"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.6884999871253967,"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"}},"topics":[{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.6884999871253967,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.0982000008225441,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.08969999849796295,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interior-orientation","display_name":"internal orientation","score":0.859000027179718},{"id":"https://openalex.org/keywords/relational-time","display_name":"relational time","score":0.8999999761581421},{"id":"https://openalex.org/keywords/temporal-order","display_name":"temporal order","score":0.6700000166893005},{"id":"https://openalex.org/keywords/o-3-nonlinear-sigma-model","display_name":"O(3) sigma model","score":0.8539999723434448},{"id":"https://openalex.org/keywords/flrw-cosmology","display_name":"FRW cosmology","score":0.7879999876022339},{"id":"https://openalex.org/keywords/stiff-equation-of-state","display_name":"stiff equation of state","score":0.7770000100135803},{"id":"https://openalex.org/keywords/lame-equation","display_name":"Lam\u00e9 equation","score":0.9890000224113464},{"id":"https://openalex.org/keywords/physical-time","display_name":"physical time","score":0.34299999475479126}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5121999979019165},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.4912000000476837},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4503999948501587},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4471000134944916},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.39590001106262207},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3952000141143799},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.3952000141143799},{"id":"https://openalex.org/C30864177","wikidata":"https://www.wikidata.org/wiki/Q742982","display_name":"Friedmann\u2013Lema\u00eetre\u2013Robertson\u2013Walker metric","level":3,"score":0.3758000135421753},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3734999895095825},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3711000084877014},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.3695000112056732},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.3677999973297119},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.3619999885559082},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.36039999127388},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3481000065803528},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34470000863075256},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.3359000086784363},{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.32179999351501465},{"id":"https://openalex.org/C100856211","wikidata":"https://www.wikidata.org/wiki/Q674689","display_name":"Clifford algebra","level":3,"score":0.31940001249313354},{"id":"https://openalex.org/C96402334","wikidata":"https://www.wikidata.org/wiki/Q3030793","display_name":"Space time","level":2,"score":0.3165000081062317},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.3165000081062317},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3156000077724457},{"id":"https://openalex.org/C8466233","wikidata":"https://www.wikidata.org/wiki/Q757269","display_name":"Metric tensor","level":3,"score":0.3089999854564667},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30219998955726624},{"id":"https://openalex.org/C114410712","wikidata":"https://www.wikidata.org/wiki/Q973321","display_name":"Hypersurface","level":2,"score":0.3012999892234802},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.298799991607666},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.2833000123500824},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2590999901294708},{"id":"https://openalex.org/C10784197","wikidata":"https://www.wikidata.org/wiki/Q233858","display_name":"Non-Euclidean geometry","level":3,"score":0.257099986076355},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.2567000091075897},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.25290000438690186}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23776102","doi":"https://doi.org/10.5281/zenodo.23776102","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23776102","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.23776103","doi":"https://doi.org/10.5281/zenodo.23776103","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23776103","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.23776102","doi":"https://doi.org/10.5281/zenodo.23776102","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23776102","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7164805838","https://openalex.org/W2372569212","https://openalex.org/W7115708074","https://openalex.org/W7167340436","https://openalex.org/W1808728224","https://openalex.org/W7218837061","https://openalex.org/W7075898463","https://openalex.org/W7203679913","https://openalex.org/W2375857583","https://openalex.org/W7135397621"],"abstract_inverted_index":{"This":[0],"work":[1],"reconstructs":[2],"a":[3,68,141,165,171,190,236,241],"constrained":[4],"Clifford-valued":[5],"internal-orientation":[6],"model":[7,65],"and":[8,18,42,49,87,99,126,147,193,206,214,228,240],"examinesthe":[9],"relational":[10,153,237],"temporal":[11,174,229],"structure":[12],"supported":[13],"by":[14,162,197],"its":[15,46,88],"native":[16,57,207],"geometry":[17,227],"dynamics.":[19],"The":[20,37,105],"fieldn(x)":[21],"=":[22,26,29,85,97,113],"nA(x)\u0393A,":[23],"{\u0393A,":[24],"\u0393B}":[25],"2\u03b4AB1,":[27],"nAnA":[28],"1,takes":[30],"values":[31],"in":[32,134],"the":[33,72,77,92,100,116,120,135,177,186,198,233],"unit":[34],"two-sphere":[35],"S2.":[36],"identities":[38],"Spin(3)":[39],"\u2243":[40,44],"SU(2)":[41],"SU(2)/U(1)":[43],"S2characterize":[45],"internal":[47,78,225],"orientation":[48],"two":[50],"independent":[51],"local":[52],"target-space":[53,143],"degrees":[54],"of":[55,95,131,189,243],"freedom.The":[56],"continuum":[58],"theory":[59],"is":[60,219],"an":[61,127],"O(3)":[62],"nonlinear":[63],"sigma":[64],"formulated":[66],"on":[67],"pre-existingfour-dimensional":[69],"spacetime.":[70],"In":[71],"homogeneous":[73],"free":[74],"FLRW":[75],"sector,":[76],"field":[79],"follows":[80],"agreat-circle":[81],"trajectory":[82],"satisfying":[83],"a3\u03b8\u02d9":[84],"J,":[86],"stress":[89],"tensor":[90],"yields":[91],"stiff":[93],"equation":[94,130],"statew":[96],"1":[98],"scaling":[101],"\u03c1":[102],"\u221d":[103],"a\u22126.":[104],"transverse":[106],"Lorentzian":[107,182],"fluctuation":[108],"has":[109],"positive":[110],"effectivemass-squared":[111],"m2\u22a5,eff":[112],"J2/a6":[114],"under":[115],"stated":[117],"assumptions.":[118],"Separately,":[119],"Euclidean":[121],"modeladmits":[122],"periodic":[123],"elliptic":[124],"configurations":[125],"exact":[128],"Lam\u00e9":[129],"index":[132],"one":[133],"specifiedzero-angular":[136],"sector.Internal":[137],"trajectories":[138],"also":[139],"possess":[140],"reparametrization-invariant":[142],"arc":[144],"length,":[145],"recurrenceproperties":[146],"event-counting":[148],"variables":[149],"that":[150],"can":[151],"provide":[152],"ordering":[154,230],"along":[155],"aspecified":[156],"history.":[157],"These":[158],"structures":[159],"do":[160],"not,":[161],"themselves,":[163],"define":[164],"universal":[166],"physical":[167],"time":[168],"unitor":[169],"select":[170],"unique":[172],"irreversible":[173],"arrow.":[175],"Likewise,":[176],"Clifford":[178,226],"paravector":[179],"algebra":[180],"suppliesa":[181],"quadratic":[183],"form,":[184],"but":[185],"dynamical":[187,208],"generation":[188],"spacetime":[191],"coframe":[192],"metricis":[194],"not":[195],"established":[196],"normalized":[199],"n-only":[200],"action.The":[201],"paper":[202],"distinguishes":[203],"these":[204],"mathematical":[205],"results":[209],"from":[210],"conditionalstatistical,":[211],"measurement,":[212],"gravitational":[213],"cosmological":[215],"extensions.":[216],"Its":[217],"aim":[218],"to":[220],"establisha":[221],"controlled":[222],"relation":[223],"between":[224,235],"while":[231],"statingexplicitly":[232],"boundary":[234],"geometric":[238],"construction":[239],"derivation":[242],"physicaltime":[244]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2026-10-30T00:00:00"}
