{"id":"https://openalex.org/W2981525629","doi":"https://doi.org/10.3390/sym12010138","title":"Summing over Spacetime Dimensions in Quantum Gravity","display_name":"Summing over Spacetime Dimensions in Quantum Gravity","publication_year":2020,"publication_date":"2020-01-09","ids":{"openalex":"https://openalex.org/W2981525629","doi":"https://doi.org/10.3390/sym12010138","mag":"2981525629"},"language":"en","primary_location":{"id":"doi:10.3390/sym12010138","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12010138","pdf_url":"https://www.mdpi.com/2073-8994/12/1/138/pdf?version=1579498944","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/12/1/138/pdf?version=1579498944","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006146103","display_name":"Erik Curiel","orcid":"https://orcid.org/0000-0002-5812-3033"},"institutions":[{"id":"https://openalex.org/I292141241","display_name":"Munich School of Philosophy","ror":"https://ror.org/02kqy4228","country_code":"DE","type":"education","lineage":["https://openalex.org/I292141241"]},{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Erik Curiel","raw_affiliation_strings":["Munich Center for Mathematical Philosophy, Ludwig-Maximilians-Universit\u00e4t, Geschwister-Scholl-Platz 1, D-80539 M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Munich Center for Mathematical Philosophy, Ludwig-Maximilians-Universit\u00e4t, Geschwister-Scholl-Platz 1, D-80539 M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I292141241","https://openalex.org/I8204097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062008286","display_name":"Felix Finster","orcid":"https://orcid.org/0000-0002-9531-7742"},"institutions":[{"id":"https://openalex.org/I60668342","display_name":"University of Regensburg","ror":"https://ror.org/01eezs655","country_code":"DE","type":"education","lineage":["https://openalex.org/I60668342"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Felix Finster","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Regensburg, D-93040 Regensburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Regensburg, D-93040 Regensburg, Germany","institution_ids":["https://openalex.org/I60668342"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002225896","display_name":"J. M. Isidro","orcid":"https://orcid.org/0000-0002-0720-9945"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jose Maria Isidro","raw_affiliation_strings":["Instituto Universitario de Matem\u00e1tica Pura y Aplicada, Universidad Polit\u00e9cnica de Valencia, 46022 Valencia, Spain"],"raw_orcid":"https://orcid.org/0000-0002-0720-9945","affiliations":[{"raw_affiliation_string":"Instituto Universitario de Matem\u00e1tica Pura y Aplicada, Universidad Polit\u00e9cnica de Valencia, 46022 Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002225896"],"corresponding_institution_ids":["https://openalex.org/I60053951"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":1.048,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.73644614,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"12","issue":"1","first_page":"138","last_page":"138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9998999834060669,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9998999834060669,"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-gravity","display_name":"Quantum gravity","score":0.7015421986579895},{"id":"https://openalex.org/keywords/spacetime","display_name":"Spacetime","score":0.6789113879203796},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.567851185798645},{"id":"https://openalex.org/keywords/loop-quantum-gravity","display_name":"Loop quantum gravity","score":0.47537460923194885},{"id":"https://openalex.org/keywords/causal-sets","display_name":"Causal sets","score":0.4745955169200897},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.47133588790893555},{"id":"https://openalex.org/keywords/ho\u0159ava\u2013lifshitz-gravity","display_name":"Ho\u0159ava\u2013Lifshitz gravity","score":0.43726587295532227},{"id":"https://openalex.org/keywords/quantum-field-theory-in-curved-spacetime","display_name":"Quantum field theory in curved spacetime","score":0.4339568614959717},{"id":"https://openalex.org/keywords/quantum-spacetime","display_name":"Quantum spacetime","score":0.4273178279399872},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.41533973813056946},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.38816380500793457},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3702196478843689},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.27725911140441895},{"id":"https://openalex.org/keywords/quantum-dynamics","display_name":"Quantum dynamics","score":0.18237832188606262},{"id":"https://openalex.org/keywords/quantum-process","display_name":"Quantum process","score":0.11950716376304626}],"concepts":[{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.7015421986579895},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.6789113879203796},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.567851185798645},{"id":"https://openalex.org/C58801389","wikidata":"https://www.wikidata.org/wiki/Q739962","display_name":"Loop quantum gravity","level":4,"score":0.47537460923194885},{"id":"https://openalex.org/C41254897","wikidata":"https://www.wikidata.org/wiki/Q1139715","display_name":"Causal sets","level":5,"score":0.4745955169200897},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.47133588790893555},{"id":"https://openalex.org/C136650576","wikidata":"https://www.wikidata.org/wiki/Q5923177","display_name":"Ho\u0159ava\u2013Lifshitz gravity","level":5,"score":0.43726587295532227},{"id":"https://openalex.org/C120484201","wikidata":"https://www.wikidata.org/wiki/Q2246697","display_name":"Quantum field theory in curved spacetime","level":4,"score":0.4339568614959717},{"id":"https://openalex.org/C8492334","wikidata":"https://www.wikidata.org/wiki/Q7269100","display_name":"Quantum spacetime","level":4,"score":0.4273178279399872},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.41533973813056946},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.38816380500793457},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3702196478843689},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.27725911140441895},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.18237832188606262},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.11950716376304626}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/sym12010138","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12010138","pdf_url":"https://www.mdpi.com/2073-8994/12/1/138/pdf?version=1579498944","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:epub.uni-regensburg.de:41588","is_oa":false,"landing_page_url":"https://epub.uni-regensburg.de/41588/1/symmetry-12-00138-v2.pdf","pdf_url":"https://epub.uni-regensburg.de/41588/1/symmetry-12-00138-v2.pdf","source":{"id":"https://openalex.org/S4306401229","display_name":"University of Regensburg Publication Server (University of Regensburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60668342","host_organization_name":"University of Regensburg","host_organization_lineage":["https://openalex.org/I60668342"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:1910.11209","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.11209","pdf_url":"https://arxiv.org/pdf/1910.11209","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,"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":"pmh:oai:doaj.org/article:6318854eac50497d8148d4b8d808df33","is_oa":true,"landing_page_url":"https://doaj.org/article/6318854eac50497d8148d4b8d808df33","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 12, Iss 1, p 138 (2020)","raw_type":"article"},{"id":"pmh:oai:epub.ub.uni-muenchen.de:75234","is_oa":true,"landing_page_url":"http://nbn-resolving.de/urn:nbn:de:bvb:19-epub-75234-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401845","display_name":"Open access LMU (Ludwid Maxmilian's Universitat Munchen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8204097","host_organization_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","host_organization_lineage":["https://openalex.org/I8204097"],"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":"Symmetry","raw_type":"doc-type:article"},{"id":"pmh:oai:riunet.upv.es:10251/176074","is_oa":true,"landing_page_url":"http://hdl.handle.net/10251/176074","pdf_url":null,"source":{"id":"https://openalex.org/S4306400639","display_name":"RiuNet (Universitat Polit\u00e8cnica de Val\u00e8ncia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60053951","host_organization_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","host_organization_lineage":["https://openalex.org/I60053951"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.3390/sym12010138","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12010138","pdf_url":"https://www.mdpi.com/2073-8994/12/1/138/pdf?version=1579498944","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2981525629.pdf"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W604181985","https://openalex.org/W1988456571","https://openalex.org/W1990491404","https://openalex.org/W2007581136","https://openalex.org/W2019329395","https://openalex.org/W2077829139","https://openalex.org/W2081338783","https://openalex.org/W2139794367","https://openalex.org/W2615843639","https://openalex.org/W2946188757","https://openalex.org/W2949695643","https://openalex.org/W2971115100","https://openalex.org/W3099092442","https://openalex.org/W3099209744","https://openalex.org/W6652185104","https://openalex.org/W6669956071"],"related_works":["https://openalex.org/W2277046890","https://openalex.org/W2331085821","https://openalex.org/W4297063394","https://openalex.org/W2791356968","https://openalex.org/W1995789404","https://openalex.org/W2474696393","https://openalex.org/W2324989001","https://openalex.org/W3043887470","https://openalex.org/W4388766860","https://openalex.org/W2058315515"],"abstract_inverted_index":{"Quantum-gravity":[0],"corrections":[1],"(in":[2],"the":[3,10,25,45],"form":[4],"of":[5,27,36,47],"a":[6,14],"minimal":[7],"length)":[8],"to":[9,23],"Feynman":[11],"propagator":[12],"for":[13],"free":[15],"scalar":[16],"particle":[17],"in":[18,44],"R":[19,37],"D":[20,32,35,38],"are":[21],"shown":[22],"be":[24],"result":[26],"summing":[28],"over":[29],"all":[30],"dimensions":[31],"\u2032":[33,39],"\u2265":[34],",":[40],"each":[41],"summand":[42],"taken":[43],"absence":[46],"quantum":[48],"gravity.":[49]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4}],"updated_date":"2026-08-14T07:06:38.338062","created_date":"2025-10-10T00:00:00"}
