{"id":"https://openalex.org/W7216474133","doi":"https://doi.org/10.48550/arxiv.2610.00593","title":"Dynamics of Regge calculus with torsion","display_name":"Dynamics of Regge calculus with torsion","publication_year":2026,"publication_date":"2026-09-30","ids":{"openalex":"https://openalex.org/W7216474133","doi":"https://doi.org/10.48550/arxiv.2610.00593"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.00593","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.00593","pdf_url":"https://arxiv.org/pdf/2610.00593","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.00593","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5155794036","display_name":"Ruijue Yan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan, Ruijue","raw_affiliation_strings":["School of Physics and Astronomy , Key Laboratory of Multiscale Spin Physics (Ministry of Education) , Beijing Normal University , Beijing 100875 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy , Key Laboratory of Multiscale Spin Physics (Ministry of Education) , Beijing Normal University , Beijing 100875 , China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009996429","display_name":"You Ding","orcid":"https://orcid.org/0000-0002-0455-7012","observed_orcids":["https://orcid.org/0000-0002-0455-7012"]},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ding, You","raw_affiliation_strings":["School of Science , Beijing Jiaotong University , Beijing , 100044 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science , Beijing Jiaotong University , Beijing , 100044 , China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5155016989","display_name":"Yongge Ma","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ma, Yongge","raw_affiliation_strings":["School of Physics and Astronomy , Key Laboratory of Multiscale Spin Physics (Ministry of Education) , Beijing Normal University , Beijing 100875 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy , Key Laboratory of Multiscale Spin Physics (Ministry of Education) , Beijing Normal University , Beijing 100875 , China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5155320049","display_name":"Cong Zhang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang, Cong","raw_affiliation_strings":["School of Physics and Astronomy , Key Laboratory of Multiscale Spin Physics (Ministry of Education) , Beijing Normal University , Beijing 100875 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy , Key Laboratory of Multiscale Spin Physics (Ministry of Education) , Beijing Normal University , Beijing 100875 , China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9160000085830688,"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":0.9160000085830688,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.0674000009894371,"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":0.003700000001117587,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/regge-calculus","display_name":"Regge calculus","score":0.9959999918937683},{"id":"https://openalex.org/keywords/torsion","display_name":"torsion","score":0.9629999995231628},{"id":"https://openalex.org/keywords/einstein-cartan-theory","display_name":"Einstein-Cartan theory","score":0.8349999785423279},{"id":"https://openalex.org/keywords/simplicial-manifolds","display_name":"simplicial manifolds","score":0.8889999985694885},{"id":"https://openalex.org/keywords/holonomy","display_name":"holonomy","score":0.7229999899864197},{"id":"https://openalex.org/keywords/discrete-geometry","display_name":"combinatorial geometry","score":0.7419999837875366},{"id":"https://openalex.org/keywords/parallel-transport","display_name":"parallel transport","score":0.7459999918937683},{"id":"https://openalex.org/keywords/discrete-action","display_name":"discrete action","score":0.36899998784065247},{"id":"https://openalex.org/keywords/equations-of-motion","display_name":"equations of motion","score":0.878000020980835},{"id":"https://openalex.org/keywords/lorentzian-signature","display_name":"Lorentzian signature","score":0.9100000262260437},{"id":"https://openalex.org/keywords/euclidean-signature","display_name":"Euclidean signature","score":0.8339999914169312}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.651199996471405},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.5573999881744385},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5264000296592712},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4832000136375427},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47929999232292175},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.47189998626708984},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.3971000015735626},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3905999958515167},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.3880000114440918},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.3855000138282776},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.3578999936580658},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3391000032424927},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.32850000262260437},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.2955000102519989},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.2816999852657318},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.27810001373291016},{"id":"https://openalex.org/C97172818","wikidata":"https://www.wikidata.org/wiki/Q7520904","display_name":"Simplicial manifold","level":5,"score":0.27720001339912415},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.26899999380111694},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2669000029563904},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.25609999895095825}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.00593","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.00593","pdf_url":"https://arxiv.org/pdf/2610.00593","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2610.00593","doi":"https://doi.org/10.48550/arxiv.2610.00593","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.00593","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.00593","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.00593","pdf_url":"https://arxiv.org/pdf/2610.00593","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4224959678","display_name":null,"funder_award_id":"No. 12275022","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4889092320","display_name":null,"funder_award_id":"12275022","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6725665147","display_name":null,"funder_award_id":"12505055","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7216474133.pdf","grobid_xml":"https://content.openalex.org/works/W7216474133.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1907605691","https://openalex.org/W1975668387","https://openalex.org/W1772179392","https://openalex.org/W3045711403","https://openalex.org/W1979613568","https://openalex.org/W3099437891","https://openalex.org/W1971033946","https://openalex.org/W1847050312","https://openalex.org/W2205137856","https://openalex.org/W7095187727"],"abstract_inverted_index":{"The":[0,60,97,138],"discrete":[1,143,201],"geometry":[2],"on":[3,71,192],"an":[4,68,72],"$n$-dimensional":[5],"simplicial":[6,98,194],"manifold":[7,195],"are":[8,24,52,101],"studied,":[9],"in":[10,112,171,184],"order":[11],"to":[12,26,29,75,93,129,147],"incorporate":[13],"torsion":[14,61],"into":[15],"Regge":[16,132],"calculus.":[17],"In":[18,38],"each":[19],"simplex,":[20],"the":[21,27,31,40,43,46,55,65,79,85,88,94,107,130,135,141,148,163,168,172,176,180,185,189,193],"edge":[22,69,82,90,108,149],"vectors":[23,109,150],"assigned":[25],"edges":[28],"encode":[30],"information":[32],"of":[33,48,87,106,140,157,203],"their":[34],"lengths":[35],"and":[36,78,110,114,119,151,175],"directions.":[37],"addition,":[39],"holonomies":[41,111,178],"along":[42],"curves":[44],"across":[45],"interfaces":[47],"two":[49,155],"adjacent":[50,95],"simplices":[51],"represented":[53],"by":[54],"internal":[56],"gauge":[57],"group":[58],"elements.":[59],"manifests":[62],"itself":[63],"as":[64,104,183,199],"difference":[66],"between":[67],"vector":[70],"interface":[73],"belonging":[74,92],"one":[76],"simplex":[77],"parallel":[80],"transported":[81],"vector,":[83],"via":[84],"holonomy,":[86],"same":[89],"but":[91],"simplex.":[96],"Einstein--Cartan":[99,204],"actions":[100,133],"then":[102],"constructed":[103],"functions":[105],"three":[113],"four":[115],"dimensions":[116],"with":[117,145,167],"Euclidean":[118],"Lorentzian":[120],"signatures,":[121],"respectively.":[122],"It":[123,159],"is":[124,160,165],"shown":[125,161],"that":[126,162],"they":[127],"return":[128],"corresponding":[131,169],"for":[134],"torsion-free":[136,177],"cases.":[137],"variations":[139],"4-dimensional":[142],"action":[144],"respect":[146],"holonomies,":[152],"respectively,":[153],"give":[154],"equations":[156],"motion.":[158],"former":[164],"consistent":[166],"equation":[170,182],"continuum":[173],"theory,":[174],"satisfy":[179],"latter":[181],"continuous":[186],"case.":[187],"Thus,":[188],"resulting":[190],"theory":[191],"can":[196],"be":[197],"regarded":[198],"a":[200],"analogue":[202],"theory.":[205]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-03T00:00:00"}
