{"id":"https://openalex.org/W7220920927","doi":"https://doi.org/10.48550/arxiv.2610.07263","title":"Gravitational-Wave Propagation in Quadratic Einstein--Cartan--Dirac Gravity: A Conditional Tensor-Sector Analysis","display_name":"Gravitational-Wave Propagation in Quadratic Einstein--Cartan--Dirac Gravity: A Conditional Tensor-Sector Analysis","publication_year":2026,"publication_date":"2026-10-05","ids":{"openalex":"https://openalex.org/W7220920927","doi":"https://doi.org/10.48550/arxiv.2610.07263"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.07263","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.07263","pdf_url":"https://arxiv.org/pdf/2610.07263","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.07263","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5157912799","display_name":"Zhi-Fu Gao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2800999641","display_name":"Xinjiang Astronomical Observatory","ror":"https://ror.org/01pjxkf30","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I2800999641","https://openalex.org/I4210164580"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gao, Zhi-Fu","raw_affiliation_strings":["State Key Laboratory of Radio Astronomy and Technology , Xinjiang Astronomical Observatory , CAS , 150 Science , 1-Street , Urumqi , 830011 , Xinjiang , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Radio Astronomy and Technology , Xinjiang Astronomical Observatory , CAS , 150 Science , 1-Street , Urumqi , 830011 , Xinjiang , China","institution_ids":["https://openalex.org/I2800999641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035412021","display_name":"Biao\u2010Peng Li","orcid":"https://orcid.org/0000-0003-0325-6426","observed_orcids":["https://orcid.org/0000-0003-0325-6426"]},"institutions":[{"id":"https://openalex.org/I2800999641","display_name":"Xinjiang Astronomical Observatory","ror":"https://ror.org/01pjxkf30","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I2800999641","https://openalex.org/I4210164580"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li, Biao-Peng","raw_affiliation_strings":["State Key Laboratory of Radio Astronomy and Technology , Xinjiang Astronomical Observatory , CAS , 150 Science , 1-Street , Urumqi , 830011 , Xinjiang , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Radio Astronomy and Technology , Xinjiang Astronomical Observatory , CAS , 150 Science , 1-Street , Urumqi , 830011 , Xinjiang , China","institution_ids":["https://openalex.org/I2800999641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157983771","display_name":"Na Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2800999641","display_name":"Xinjiang Astronomical Observatory","ror":"https://ror.org/01pjxkf30","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I2800999641","https://openalex.org/I4210164580"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang, Na","raw_affiliation_strings":["State Key Laboratory of Radio Astronomy and Technology , Xinjiang Astronomical Observatory , CAS , 150 Science , 1-Street , Urumqi , 830011 , Xinjiang , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Radio Astronomy and Technology , Xinjiang Astronomical Observatory , CAS , 150 Science , 1-Street , Urumqi , 830011 , Xinjiang , China","institution_ids":["https://openalex.org/I2800999641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157983468","display_name":"Hui Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I110262843","display_name":"Yuncheng University","ror":"https://ror.org/03qt1g669","country_code":"CN","type":"education","lineage":["https://openalex.org/I110262843"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang, Hui","raw_affiliation_strings":["Shanxi Province Intelligent Optoelectronic Sensing Application Technology Innovation Center , Yuncheng University , Yuncheng , 044000 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanxi Province Intelligent Optoelectronic Sensing Application Technology Innovation Center , Yuncheng University , Yuncheng , 044000 , China","institution_ids":["https://openalex.org/I110262843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157924038","display_name":"Guo-Qiang Jin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3129293551","display_name":"Tarim University","ror":"https://ror.org/05202v862","country_code":"CN","type":"education","lineage":["https://openalex.org/I3129293551"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin, Guo-Qiang","raw_affiliation_strings":["College of Mechanical and Electrical Engineering , Tarim University , Alar , 843300 , Xinjiang , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical and Electrical Engineering , Tarim University , Alar , 843300 , Xinjiang , China","institution_ids":["https://openalex.org/I3129293551"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157947936","display_name":"Zhoujian Cao","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":"Cao, Zhoujian","raw_affiliation_strings":["Institute for Frontiers in Astronomy and Astrophysics , Beijing Normal University , Beijing , 102206 , China","School of Physics and Astronomy , Beijing Normal University , Beijing , 100875 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Frontiers in Astronomy and Astrophysics , Beijing Normal University , Beijing , 102206 , China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"School of Physics and Astronomy , Beijing Normal University , Beijing , 100875 , China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5157974627","display_name":"Luiz C. Garcia de Andrade","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I40034438","display_name":"Universidade do Estado do Rio de Janeiro","ror":"https://ror.org/0198v2949","country_code":"BR","type":"education","lineage":["https://openalex.org/I40034438"]},{"id":"https://openalex.org/I4391767899","display_name":"Institute for Cosmology and Philosophy of Nature","ror":"https://ror.org/02shxwk22","country_code":"HR","type":"nonprofit","lineage":["https://openalex.org/I4391767899"]}],"countries":["BR","HR"],"is_corresponding":false,"raw_author_name":"de Andrade, Luiz C. Garcia","raw_affiliation_strings":["Departamento de F\u00edsica Te\u00f3rica , IF-UERJ , Rua S\u00e3o Francisco Xavier 524 , Maracan\u00e3 , Rio de Janeiro , 20550 , RJ , Brazil","Institute of Cosmology and Philosophy of Nature , Kriz\u017eevci , 48260 , Croatia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica Te\u00f3rica , IF-UERJ , Rua S\u00e3o Francisco Xavier 524 , Maracan\u00e3 , Rio de Janeiro , 20550 , RJ , Brazil","institution_ids":["https://openalex.org/I40034438"]},{"raw_affiliation_string":"Institute of Cosmology and Philosophy of Nature , Kriz\u017eevci , 48260 , Croatia","institution_ids":["https://openalex.org/I4391767899"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"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/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.8467000126838684,"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/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.8467000126838684,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.13330000638961792,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.004999999888241291,"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/einstein-cartan-theory","display_name":"Einstein-Cartan theory","score":0.8069999814033508},{"id":"https://openalex.org/keywords/nanohertz-gravitational-waves","display_name":"nanohertz gravitational waves","score":0.7179999947547913},{"id":"https://openalex.org/keywords/pulsar-timing-arrays","display_name":"pulsar timing arrays","score":0.9010000228881836},{"id":"https://openalex.org/keywords/axial-vector-current","display_name":"axial current","score":0.36899998784065247},{"id":"https://openalex.org/keywords/nanograv","display_name":"NANOGrav","score":0.7099999785423279},{"id":"https://openalex.org/keywords/modified-gravity-tests","display_name":"modified gravity tests","score":0.527999997138977}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.5322999954223633},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5321000218391418},{"id":"https://openalex.org/C71993908","wikidata":"https://www.wikidata.org/wiki/Q1093427","display_name":"Lorentz covariance","level":3,"score":0.5282999873161316},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.44440001249313354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4408999979496002},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.41429999470710754},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.39890000224113464},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.39660000801086426},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.38370001316070557},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.3625999987125397},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.3458999991416931},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.3407999873161316},{"id":"https://openalex.org/C2780100471","wikidata":"https://www.wikidata.org/wiki/Q17005905","display_name":"Cosmological perturbation theory","level":3,"score":0.3393999934196472},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3312999904155731},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.3197999894618988},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.31049999594688416},{"id":"https://openalex.org/C171338203","wikidata":"https://www.wikidata.org/wiki/Q13409892","display_name":"Cauchy stress tensor","level":2,"score":0.2985999882221222},{"id":"https://openalex.org/C79772020","wikidata":"https://www.wikidata.org/wiki/Q5159264","display_name":"Conditional independence","level":2,"score":0.295199990272522},{"id":"https://openalex.org/C190330329","wikidata":"https://www.wikidata.org/wiki/Q190035","display_name":"Gravitational wave","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.28200000524520874},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.2797999978065491},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.2728999853134155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2700999975204468},{"id":"https://openalex.org/C33098168","wikidata":"https://www.wikidata.org/wiki/Q108537107","display_name":"Rotational invariance","level":2,"score":0.25850000977516174},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2583000063896179},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.25540000200271606},{"id":"https://openalex.org/C130295795","wikidata":"https://www.wikidata.org/wiki/Q3550684","display_name":"Unitarity","level":2,"score":0.25360000133514404},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.25270000100135803}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.07263","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.07263","pdf_url":"https://arxiv.org/pdf/2610.07263","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.2610.07263","doi":"https://doi.org/10.48550/arxiv.2610.07263","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.07263","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.07263","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.07263","pdf_url":"https://arxiv.org/pdf/2610.07263","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/G5849506193","display_name":null,"funder_award_id":"2022A03013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6384085352","display_name":null,"funder_award_id":"12475046","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8511120327","display_name":null,"funder_award_id":"12573052","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8518170077","display_name":null,"funder_award_id":"12288102","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"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220920927.pdf","grobid_xml":"https://content.openalex.org/works/W7220920927.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4295599451","https://openalex.org/W1640229283","https://openalex.org/W7216201044","https://openalex.org/W4416206503","https://openalex.org/W1880975127","https://openalex.org/W4390579626","https://openalex.org/W7084672239","https://openalex.org/W3173928143","https://openalex.org/W1969234226","https://openalex.org/W2991555412"],"abstract_inverted_index":{"We":[0,46,141],"study":[1],"leading":[2,85,96],"tensor":[3,87],"propagation":[4],"in":[5],"a":[6,29,40,123,136],"specified":[7],"first-order":[8],"Einstein--Cartan--Dirac":[9,138],"theory":[10],"with":[11,58,94,167],"the":[12,19,24,33,36,48,70,84,110,115,143,153,168],"parity-even":[13],"quadratic":[14],"torsion":[15],"invariant":[16],"$\u03b6T_{\u03bb\u03bc\u03bd}T^{\u03bb\u03bc\u03bd}$.":[17],"Eliminating":[18],"nondynamical":[20],"Lorentz":[21],"connection":[22],"on":[23,177],"regular":[25],"algebraic":[26],"branch":[27],"gives":[28],"metric":[30],"description":[31],"containing":[32],"Einstein--Hilbert":[34],"term,":[35],"Dirac":[37],"action,":[38],"and":[39,65,74,92,114,132],"$\u03b6$-dependent":[41],"axial--axial":[42],"fermion":[43],"contact":[44],"interaction.":[45],"evaluate":[47],"transverse-traceless":[49],"(TT)":[50],"Hessian":[51],"under":[52],"an":[53],"explicit":[54],"factorized":[55,71],"mean-field":[56],"closure,":[57],"vanishing":[59,63],"connected-current":[60,144],"TT":[61,67,77,145],"response,":[62],"first-":[64],"second-order":[66],"response":[68,146],"of":[69,109],"current":[72],"scalar,":[73],"zero":[75],"intrinsic":[76],"anisotropic":[78],"stress.":[79],"Under":[80],"these":[81],"imposed":[82],"conditions,":[83],"two-derivative":[86],"action":[88],"has":[89],"$Q_T=M_{\\rm":[90],"Pl}^{2}$":[91],"$c_T=1$,":[93],"no":[95,171],"dispersion":[97],"or":[98,175],"propagation-induced":[99],"polarization":[100],"splitting.":[101],"These":[102],"conditions":[103],"do":[104],"not":[105,119,134],"follow":[106],"from":[107,122],"isotropy":[108],"one-point":[111],"axial":[112],"current,":[113],"present":[116],"calculation":[117],"does":[118,133],"derive":[120],"them":[121],"microscopic":[124],"fermionic":[125],"state.":[126],"The":[127],"result":[128,154],"is":[129,179],"therefore":[130],"conditional":[131],"establish":[135],"general":[137],"no-go":[139],"theorem.":[140],"identify":[142],"that":[147],"must":[148],"be":[149],"calculated":[150],"to":[151,164],"extend":[152],"beyond":[155],"this":[156],"closure.":[157],"Published":[158],"NANOGrav":[159],"summaries":[160],"are":[161],"used":[162],"only":[163],"check":[165],"consistency":[166],"GR-like":[169],"prediction;":[170],"new":[172],"timing-data":[173],"likelihood":[174],"constraint":[176],"$\u03b6$":[178],"obtained.":[180]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-09T00:00:00"}
