{"id":"https://openalex.org/W7204131150","doi":"https://doi.org/10.22323/1.509.0253","title":"Causal Fermion Systems, Non-Commutative Geometry and Generalized Trace Dynamics","display_name":"Causal Fermion Systems, Non-Commutative Geometry and Generalized Trace Dynamics","publication_year":2026,"publication_date":"2026-08-24","ids":{"openalex":"https://openalex.org/W7204131150","doi":"https://doi.org/10.22323/1.509.0253"},"language":"en","primary_location":{"id":"doi:10.22323/1.509.0253","doi":"https://doi.org/10.22323/1.509.0253","is_oa":true,"landing_page_url":"https://doi.org/10.22323/1.509.0253","pdf_url":"https://pos.sissa.it/509/253/pdf","source":{"id":"https://openalex.org/S4363608734","display_name":"Corfu Summer Institute School and Workshops on Elementary Particle Physics and Gravity (CORFU)","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":"conference"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of Proceedings of the Corfu Summer Institute 2025 \"School and Workshops on Elementary Particle Physics and Gravity\" \u2014 PoS(CORFU2025)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://pos.sissa.it/509/253/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032459869","display_name":"Claudio F. Paganini","orcid":"https://orcid.org/0000-0002-6723-4392","observed_orcids":["https://orcid.org/0000-0002-6723-4392"]},"institutions":[{"id":"https://openalex.org/I4210127646","display_name":"Max Planck Institute for Gravitational Physics","ror":"https://ror.org/03sry2h30","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127646"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Claudio Paganini","raw_affiliation_strings":["Guest position at Max-Planck Institute for Gravitational Physics , Am M\u00fchlenberg 1 , 14476 Potsdam , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guest position at Max-Planck Institute for Gravitational Physics , Am M\u00fchlenberg 1 , 14476 Potsdam , Germany","institution_ids":["https://openalex.org/I4210127646"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044280434","display_name":"Shane Farnsworth","orcid":"https://orcid.org/0000-0002-4089-8332","observed_orcids":["https://orcid.org/0000-0002-4089-8332"]},"institutions":[{"id":"https://openalex.org/I4210127646","display_name":"Max Planck Institute for Gravitational Physics","ror":"https://ror.org/03sry2h30","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127646"]},{"id":"https://openalex.org/I59781447","display_name":"Inter-University Centre for Astronomy and Astrophysics","ror":"https://ror.org/04etcj997","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59781447"]}],"countries":["DE","IN"],"is_corresponding":false,"raw_author_name":"Shane Farnsworth","raw_affiliation_strings":["Guest position at Max-Planck Institute for Gravitational Physics , Am M\u00fchlenberg 1 , 14476 Potsdam , Germany","Inter-University Centre for Astronomy and Astrophysics , Post Bag 4 , Ganeshkhind , Pune 411007 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guest position at Max-Planck Institute for Gravitational Physics , Am M\u00fchlenberg 1 , 14476 Potsdam , Germany","institution_ids":["https://openalex.org/I4210127646"]},{"raw_affiliation_string":"Inter-University Centre for Astronomy and Astrophysics , Post Bag 4 , Ganeshkhind , Pune 411007 , India","institution_ids":["https://openalex.org/I59781447"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062008286","display_name":"Felix Finster","orcid":"https://orcid.org/0000-0002-9531-7742","observed_orcids":["https://orcid.org/0000-0002-9531-7742"]},"institutions":[{"id":"https://openalex.org/I4210127646","display_name":"Max Planck Institute for Gravitational Physics","ror":"https://ror.org/03sry2h30","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127646"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Felix Finster","raw_affiliation_strings":["Guest position at Max-Planck Institute for Gravitational Physics , Am M\u00fchlenberg 1 , 14476 Potsdam , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guest position at Max-Planck Institute for Gravitational Physics , Am M\u00fchlenberg 1 , 14476 Potsdam , Germany","institution_ids":["https://openalex.org/I4210127646"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017258735","display_name":"Tejinder P. Singh","orcid":"https://orcid.org/0000-0002-1862-1505","observed_orcids":["https://orcid.org/0000-0002-1862-1505"]},"institutions":[{"id":"https://openalex.org/I4210127646","display_name":"Max Planck Institute for Gravitational Physics","ror":"https://ror.org/03sry2h30","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127646"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tejinder P. Singh","raw_affiliation_strings":["Guest position at Max-Planck Institute for Gravitational Physics , Am M\u00fchlenberg 1 , 14476 Potsdam , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guest position at Max-Planck Institute for Gravitational Physics , Am M\u00fchlenberg 1 , 14476 Potsdam , Germany","institution_ids":["https://openalex.org/I4210127646"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":22.6186,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.99123506,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"253","last_page":"253"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9057999849319458,"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":0.9057999849319458,"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":0.04839999973773956,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.01600000075995922,"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/causal-fermion-systems","display_name":"causal fermion systems","score":1.0},{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"noncommutative geometry","score":0.9190000295639038},{"id":"https://openalex.org/keywords/fiber-bundles","display_name":"fiber bundles","score":0.652999997138977},{"id":"https://openalex.org/keywords/two-point-correlation-function","display_name":"two-point correlation function","score":0.7400000095367432},{"id":"https://openalex.org/keywords/geodesic-distance","display_name":"geodesic distance","score":0.9490000009536743},{"id":"https://openalex.org/keywords/continuum-limit","display_name":"continuum limit","score":0.9089999794960022},{"id":"https://openalex.org/keywords/spacetime-structure","display_name":"spacetime structure","score":0.41200000047683716},{"id":"https://openalex.org/keywords/quantum-gravity","display_name":"quantum gravity","score":0.3160000145435333}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5250999927520752},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.4950000047683716},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.40450000762939453},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.38920000195503235},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.3598000109195709},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.31060001254081726},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.3075000047683716},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.29260000586509705},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28369998931884766},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2761000096797943},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.26109999418258667},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.2515999972820282},{"id":"https://openalex.org/C2985906894","wikidata":"https://www.wikidata.org/wiki/Q15994658","display_name":"Particle dynamics","level":3,"score":0.2502000033855438}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22323/1.509.0253","doi":"https://doi.org/10.22323/1.509.0253","is_oa":true,"landing_page_url":"https://doi.org/10.22323/1.509.0253","pdf_url":"https://pos.sissa.it/509/253/pdf","source":{"id":"https://openalex.org/S4363608734","display_name":"Corfu Summer Institute School and Workshops on Elementary Particle Physics and Gravity (CORFU)","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":"conference"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of Proceedings of the Corfu Summer Institute 2025 \"School and Workshops on Elementary Particle Physics and Gravity\" \u2014 PoS(CORFU2025)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2603.05018","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2603.05018","pdf_url":"https://arxiv.org/pdf/2603.05018","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2603.05018","doi":"https://doi.org/10.48550/arxiv.2603.05018","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.05018","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","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:10.22323/1.509.0253","doi":"https://doi.org/10.22323/1.509.0253","is_oa":true,"landing_page_url":"https://doi.org/10.22323/1.509.0253","pdf_url":"https://pos.sissa.it/509/253/pdf","source":{"id":"https://openalex.org/S4363608734","display_name":"Corfu Summer Institute School and Workshops on Elementary Particle Physics and Gravity (CORFU)","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":"conference"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of Proceedings of the Corfu Summer Institute 2025 \"School and Workshops on Elementary Particle Physics and Gravity\" \u2014 PoS(CORFU2025)","raw_type":"proceedings-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204131150.pdf","grobid_xml":"https://content.openalex.org/works/W7204131150.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W1498117430","https://openalex.org/W1546102107","https://openalex.org/W1654661038","https://openalex.org/W1672034976","https://openalex.org/W1964600409","https://openalex.org/W1968388660","https://openalex.org/W1977481574","https://openalex.org/W1981971981","https://openalex.org/W1988520658","https://openalex.org/W1997104011","https://openalex.org/W2029122731","https://openalex.org/W2031960995","https://openalex.org/W2046432022","https://openalex.org/W2058509714","https://openalex.org/W2071786502","https://openalex.org/W2074702261","https://openalex.org/W2075399073","https://openalex.org/W2109049245","https://openalex.org/W2123061623","https://openalex.org/W2148984222","https://openalex.org/W2161471984","https://openalex.org/W2245265755","https://openalex.org/W2407094613","https://openalex.org/W2766145422","https://openalex.org/W2952047698","https://openalex.org/W3000611082","https://openalex.org/W3010217554","https://openalex.org/W3030136159","https://openalex.org/W3109920732","https://openalex.org/W3187636114","https://openalex.org/W4221054313","https://openalex.org/W4225867190","https://openalex.org/W4249956767","https://openalex.org/W4281671059","https://openalex.org/W4290064251","https://openalex.org/W4293256233","https://openalex.org/W4293872632","https://openalex.org/W4307049149","https://openalex.org/W4382812506","https://openalex.org/W4387911471","https://openalex.org/W4402764161","https://openalex.org/W4415183969","https://openalex.org/W4416143890","https://openalex.org/W4416157518","https://openalex.org/W6967155891","https://openalex.org/W7131424412"],"related_works":["https://openalex.org/W2754821689","https://openalex.org/W6891921377","https://openalex.org/W4244985147","https://openalex.org/W2596360759","https://openalex.org/W4416588047","https://openalex.org/W1700098674","https://openalex.org/W6991375977","https://openalex.org/W3016320705","https://openalex.org/W7202228589","https://openalex.org/W3211821430"],"abstract_inverted_index":{"We":[0,109],"compare":[1],"the":[2,7,21,32,39,44,53,58,61,70,74,92,100],"structures":[3],"and":[4,17,120],"methods":[5],"in":[6,30,38,64,69,72,99],"theory":[8],"of":[9,84],"causal":[10,65],"fermion":[11,66],"systems":[12,67],"with":[13],"generalized":[14,106,121],"trace":[15,122],"dynamics":[16],"non-commutative":[18,118],"geometry.":[19],"Although":[20],"three":[22],"theories":[23],"differ":[24],"on":[25],"many":[26],"aspects,":[27],"they":[28],"agree":[29],"that":[31,60,90,111],"geometric":[33],"structure":[34],"to":[35,57,117],"be":[36,115],"recovered":[37],"continuum":[40],"limit":[41],"is":[42,80,102],"not":[43],"bare":[45],"spacetime":[46,78],"but":[47],"a":[48,105],"suitable":[49],"fiber":[50],"bundle.":[51],"Furthermore,":[52],"comparison":[54],"leads":[55],"us":[56],"conclusion":[59],"key":[62],"innovation":[63],"lies":[68],"manner":[71],"which":[73],"relation":[75],"between":[76,95],"different":[77],"points":[79,98],"encoded.":[81],"The":[82],"role":[83],"Synge's":[85],"classical":[86],"world":[87],"function":[88],"$\\sigma(x,y)$":[89],"encodes":[91],"geodesic":[93],"distance":[94],"any":[96],"two":[97],"manifold,":[101],"taken":[103],"by":[104],"two-point":[107],"correlator.":[108],"show":[110],"this":[112],"idea":[113],"can":[114],"transferred":[116],"geometry":[119],"dynamics.":[123]},"counts_by_year":[{"year":2026,"cited_by_count":4}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-25T00:00:00"}
