{"id":"https://openalex.org/W1907472500","doi":"https://doi.org/10.3390/e17106893","title":"Thermal BEC Black Holes","display_name":"Thermal BEC Black Holes","publication_year":2015,"publication_date":"2015-10-15","ids":{"openalex":"https://openalex.org/W1907472500","doi":"https://doi.org/10.3390/e17106893","mag":"1907472500"},"language":"en","primary_location":{"id":"doi:10.3390/e17106893","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17106893","pdf_url":"https://www.mdpi.com/1099-4300/17/10/6893/pdf?version=1444919009","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"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":"Entropy","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/1099-4300/17/10/6893/pdf?version=1444919009","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051768256","display_name":"Roberto Casadio","orcid":"https://orcid.org/0000-0002-1330-7787"},"institutions":[{"id":"https://openalex.org/I4210148700","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Bologna","ror":"https://ror.org/04j0x0h93","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210148700"]},{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Roberto Casadio","raw_affiliation_strings":["Dipartimento di Fisica e Astronomia, Alma Mater Universit\u00e0 di Bologna, via Irnerio 46, 40126 Bologna, Italy","Istituto Nazionale di Fisica Nucleare (I.N.F.N.), Sezione di Bologna, viale Berti Pichat 6/2, 40127 Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica e Astronomia, Alma Mater Universit\u00e0 di Bologna, via Irnerio 46, 40126 Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare (I.N.F.N.), Sezione di Bologna, viale Berti Pichat 6/2, 40127 Bologna, Italy","institution_ids":["https://openalex.org/I4210148700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048715504","display_name":"Andrea Giugno","orcid":"https://orcid.org/0000-0003-3674-2199"},"institutions":[{"id":"https://openalex.org/I4210148700","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Bologna","ror":"https://ror.org/04j0x0h93","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210148700"]},{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Giugno","raw_affiliation_strings":["Dipartimento di Fisica e Astronomia, Alma Mater Universit\u00e0 di Bologna, via Irnerio 46, 40126 Bologna, Italy","Istituto Nazionale di Fisica Nucleare (I.N.F.N.), Sezione di Bologna, viale Berti Pichat 6/2, 40127 Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica e Astronomia, Alma Mater Universit\u00e0 di Bologna, via Irnerio 46, 40126 Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare (I.N.F.N.), Sezione di Bologna, viale Berti Pichat 6/2, 40127 Bologna, Italy","institution_ids":["https://openalex.org/I4210148700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051312413","display_name":"Octavian Micu","orcid":"https://orcid.org/0000-0002-0696-4375"},"institutions":[{"id":"https://openalex.org/I4210142834","display_name":"Institute of Space Science - INFLPR Subsidiary","ror":"https://ror.org/054a6wv56","country_code":"RO","type":"facility","lineage":["https://openalex.org/I4210142834"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Octavian Micu","raw_affiliation_strings":["Institute of Space Science, Atomistilor 409, 077125 Magurele, Ilfov, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Space Science, Atomistilor 409, 077125 Magurele, Ilfov, Romania","institution_ids":["https://openalex.org/I4210142834"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001389367","display_name":"Alessio Orlandi","orcid":"https://orcid.org/0000-0002-0676-8796"},"institutions":[{"id":"https://openalex.org/I4210148700","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Bologna","ror":"https://ror.org/04j0x0h93","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210148700"]},{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessio Orlandi","raw_affiliation_strings":["Dipartimento di Fisica e Astronomia, Alma Mater Universit\u00e0 di Bologna, via Irnerio 46, 40126 Bologna, Italy","Istituto Nazionale di Fisica Nucleare (I.N.F.N.), Sezione di Bologna, viale Berti Pichat 6/2, 40127 Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica e Astronomia, Alma Mater Universit\u00e0 di Bologna, via Irnerio 46, 40126 Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare (I.N.F.N.), Sezione di Bologna, viale Berti Pichat 6/2, 40127 Bologna, Italy","institution_ids":["https://openalex.org/I4210148700"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5051768256"],"corresponding_institution_ids":["https://openalex.org/I4210148700","https://openalex.org/I9360294"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":8.828,"has_fulltext":true,"cited_by_count":34,"citation_normalized_percentile":{"value":0.96749465,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"17","issue":"10","first_page":"6893","last_page":"6924"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9998999834060669,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9998999834060669,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9998000264167786,"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.9998000264167786,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.860370397567749},{"id":"https://openalex.org/keywords/hawking-radiation","display_name":"Hawking radiation","score":0.7956849336624146},{"id":"https://openalex.org/keywords/boson","display_name":"Boson","score":0.6356013417243958},{"id":"https://openalex.org/keywords/semiclassical-physics","display_name":"Semiclassical physics","score":0.534451425075531},{"id":"https://openalex.org/keywords/black-hole","display_name":"Black hole (networking)","score":0.5276694893836975},{"id":"https://openalex.org/keywords/graviton","display_name":"Graviton","score":0.5255179405212402},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.4853571951389313},{"id":"https://openalex.org/keywords/event-horizon","display_name":"Event horizon","score":0.46648386120796204},{"id":"https://openalex.org/keywords/quantum-electrodynamics","display_name":"Quantum electrodynamics","score":0.4439290463924408},{"id":"https://openalex.org/keywords/micro-black-hole","display_name":"Micro black hole","score":0.4149090349674225},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.3089267611503601},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.23724237084388733},{"id":"https://openalex.org/keywords/gravitation","display_name":"Gravitation","score":0.22866106033325195},{"id":"https://openalex.org/keywords/spacetime","display_name":"Spacetime","score":0.08628112077713013}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.860370397567749},{"id":"https://openalex.org/C40745267","wikidata":"https://www.wikidata.org/wiki/Q497396","display_name":"Hawking radiation","level":3,"score":0.7956849336624146},{"id":"https://openalex.org/C79118098","wikidata":"https://www.wikidata.org/wiki/Q43101","display_name":"Boson","level":2,"score":0.6356013417243958},{"id":"https://openalex.org/C535169671","wikidata":"https://www.wikidata.org/wiki/Q17080006","display_name":"Semiclassical physics","level":3,"score":0.534451425075531},{"id":"https://openalex.org/C50341732","wikidata":"https://www.wikidata.org/wiki/Q880302","display_name":"Black hole (networking)","level":5,"score":0.5276694893836975},{"id":"https://openalex.org/C130044071","wikidata":"https://www.wikidata.org/wiki/Q103585","display_name":"Graviton","level":3,"score":0.5255179405212402},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4853571951389313},{"id":"https://openalex.org/C148292158","wikidata":"https://www.wikidata.org/wiki/Q181741","display_name":"Event horizon","level":3,"score":0.46648386120796204},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.4439290463924408},{"id":"https://openalex.org/C188655511","wikidata":"https://www.wikidata.org/wiki/Q609501","display_name":"Micro black hole","level":4,"score":0.4149090349674225},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.3089267611503601},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.23724237084388733},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.22866106033325195},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.08628112077713013},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C104954878","wikidata":"https://www.wikidata.org/wiki/Q1648707","display_name":"Routing protocol","level":3,"score":0.0},{"id":"https://openalex.org/C89305328","wikidata":"https://www.wikidata.org/wiki/Q1755411","display_name":"Link-state routing protocol","level":4,"score":0.0},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e17106893","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17106893","pdf_url":"https://www.mdpi.com/1099-4300/17/10/6893/pdf?version=1444919009","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"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":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1511.01279","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1511.01279","pdf_url":"https://arxiv.org/pdf/1511.01279","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:cris.unibo.it:11585/537403","is_oa":true,"landing_page_url":"http://hdl.handle.net/11585/537403","pdf_url":"https://www.mdpi.com/1099-4300/17/10/6893","source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:08308d7463be49859e0035f8f52765ed","is_oa":true,"landing_page_url":"https://doaj.org/article/08308d7463be49859e0035f8f52765ed","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":"Entropy, Vol 17, Iss 10, Pp 6893-6924 (2015)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/17/10/6893/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e17106893","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Entropy","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e17106893","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17106893","pdf_url":"https://www.mdpi.com/1099-4300/17/10/6893/pdf?version=1444919009","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"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":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320327843","display_name":"Istituto Nazionale di Fisica Nucleare","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1907472500.pdf","grobid_xml":"https://content.openalex.org/works/W1907472500.grobid-xml"},"referenced_works_count":88,"referenced_works":["https://openalex.org/W1481388287","https://openalex.org/W1523592133","https://openalex.org/W1546322751","https://openalex.org/W1746916869","https://openalex.org/W1757919543","https://openalex.org/W1784284733","https://openalex.org/W1807144666","https://openalex.org/W1825441770","https://openalex.org/W1838635149","https://openalex.org/W1881041773","https://openalex.org/W1973249358","https://openalex.org/W1980174228","https://openalex.org/W1985162518","https://openalex.org/W1992912115","https://openalex.org/W1993344815","https://openalex.org/W2009564119","https://openalex.org/W2012315921","https://openalex.org/W2012335338","https://openalex.org/W2013204049","https://openalex.org/W2018079382","https://openalex.org/W2019068633","https://openalex.org/W2021757847","https://openalex.org/W2022584043","https://openalex.org/W2025129644","https://openalex.org/W2035832922","https://openalex.org/W2036662279","https://openalex.org/W2038380726","https://openalex.org/W2045813188","https://openalex.org/W2048157815","https://openalex.org/W2053962310","https://openalex.org/W2065805883","https://openalex.org/W2072456967","https://openalex.org/W2073482469","https://openalex.org/W2076084501","https://openalex.org/W2079488371","https://openalex.org/W2080032152","https://openalex.org/W2080141258","https://openalex.org/W2080629663","https://openalex.org/W2080965476","https://openalex.org/W2081502225","https://openalex.org/W2087177627","https://openalex.org/W2090379036","https://openalex.org/W2090386790","https://openalex.org/W2093340885","https://openalex.org/W2100651565","https://openalex.org/W2103775278","https://openalex.org/W2104873160","https://openalex.org/W2107637722","https://openalex.org/W2107681510","https://openalex.org/W2107731933","https://openalex.org/W2111227344","https://openalex.org/W2111730372","https://openalex.org/W2114402830","https://openalex.org/W2115568066","https://openalex.org/W2141250088","https://openalex.org/W2142397325","https://openalex.org/W2142744854","https://openalex.org/W2143258291","https://openalex.org/W2153218028","https://openalex.org/W2158396489","https://openalex.org/W2158998778","https://openalex.org/W2168827511","https://openalex.org/W2225468140","https://openalex.org/W2762028199","https://openalex.org/W2951734318","https://openalex.org/W2962770248","https://openalex.org/W2963431548","https://openalex.org/W2963761937","https://openalex.org/W2964015521","https://openalex.org/W2964199048","https://openalex.org/W2985870161","https://openalex.org/W3016963506","https://openalex.org/W3098137474","https://openalex.org/W3098409917","https://openalex.org/W3099203882","https://openalex.org/W3099299972","https://openalex.org/W3100109699","https://openalex.org/W3100296326","https://openalex.org/W3101240282","https://openalex.org/W3101300751","https://openalex.org/W3101643617","https://openalex.org/W3103796492","https://openalex.org/W3104974203","https://openalex.org/W3104992709","https://openalex.org/W3106339629","https://openalex.org/W3106520265","https://openalex.org/W3124043957","https://openalex.org/W6769860319"],"related_works":["https://openalex.org/W3098699309","https://openalex.org/W2348721208","https://openalex.org/W3021521358","https://openalex.org/W1591461312","https://openalex.org/W2963202630","https://openalex.org/W2528481665","https://openalex.org/W2010471662","https://openalex.org/W1107008495","https://openalex.org/W2360164098","https://openalex.org/W4403522114"],"abstract_inverted_index":{"We":[0,21],"review":[1],"some":[2],"features":[3],"of":[4,9,15,64,97,106,109,126,140,149,157,164,186,196,233,256,313],"Bose\u2013Einstein":[5],"condensate":[6],"(BEC)":[7],"models":[8],"black":[10,159,203,333],"holes":[11,334],"obtained":[12],"by":[13,49,60,248,253],"means":[14],"the":[16,23,45,50,54,82,95,107,110,124,138,141,146,155,158,170,202,215,225,230,234,238,241,279,289,295,300,308,324,339],"horizon":[17,114,142],"wave":[18,115],"function":[19,116,291],"formalism.":[20],"consider":[22],"Klein\u2013Gordon":[24],"equation":[25],"for":[26,77,178,274,299,332,343],"a":[27,33,38,61,68,104,128,132,179,192,206,221,249,254,257,271,303,344],"toy":[28],"graviton":[29],"field":[30,43],"coupled":[31],"to":[32,80,121,131,145,287,293,307,322],"static":[34],"matter":[35,51],"current":[36],"in":[37,84,103,137,167,335],"spherically-symmetric":[39],"setup.":[40],"The":[41,113,135,184,311,327],"classical":[42],"reproduces":[44],"Newtonian":[46],"potential":[47],"generated":[48],"source,":[52],"while":[53],"corresponding":[55],"quantum":[56,337],"state":[57,195,243,260],"is":[58,75,92,118,143,237,319],"given":[59,252],"coherent":[62],"superposition":[63,255],"scalar":[65],"modes":[66,314],"with":[67,154,169,209,220,261,302,315],"continuous":[69,207],"occupation":[70],"number.":[71],"An":[72],"attractive":[73],"self-interaction":[74],"needed":[76],"bound":[78],"states":[79],"form,":[81],"case":[83],"which":[85,174],"one":[86,90],"finds":[87],"that":[88,123,331],"(approximately)":[89],"mode":[91],"allowed,":[93],"and":[94,173,205,218,266,292],"system":[96,129],"N":[98],"bosons":[99,200],"can":[100,244,284],"be":[101,245,285],"self-confined":[102],"volume":[105],"size":[108,139],"Schwarzschild":[111],"radius.":[112],"formalism":[117],"then":[119],"used":[120,286],"show":[122],"radius":[125],"such":[127],"corresponds":[130],"proper":[133],"horizon.":[134],"uncertainty":[136],"related":[144,306],"typical":[147],"energy":[148,197,210,262],"Hawking":[150,216,227,239,281,309,325],"modes:":[151],"it":[152],"decreases":[153],"increasing":[156],"hole":[160],"mass":[161],"(larger":[162],"number":[163],"gravitons),":[165],"resulting":[166],"agreement":[168],"semiclassical":[171],"calculations":[172],"does":[175],"not":[176],"hold":[177],"single":[180],"very":[181],"massive":[182],"particle.":[183],"spectrum":[185,208],"these":[187],"systems":[188],"has":[189],"two":[190],"components:":[191],"discrete":[193],"ground":[194,259],"m":[198,213,318],"(the":[199],"forming":[201],"hole)":[204],"\u03c9":[211,316],">":[212,276,317],"(representing":[214],"radiation":[217],"modeled":[219],"Planckian":[222,272],"distribution":[223,273],"at":[224,278],"expected":[226],"temperature).":[228],"Assuming":[229],"main":[231],"effect":[232],"internal":[235],"scatterings":[236],"radiation,":[240],"N-particle":[242],"collectively":[246],"described":[247],"single-particle":[250],"wave-function":[251],"total":[258],"M":[263,277],"=":[264],"Nm":[265],"Entropy":[267],"2015,":[268],"17":[269],"6894":[270],"E":[275],"same":[280],"temperature.":[282],"This":[283],"compute":[288],"partition":[290],"find":[294],"usual":[296],"area":[297],"law":[298],"entropy,":[301],"logarithmic":[304],"correction":[305],"component.":[310],"backreaction":[312],"also":[320],"shown":[321],"reduce":[323],"flux.":[326],"above":[328],"corrections":[329],"suggest":[330],"this":[336],"state,":[338],"evaporation":[340],"properly":[341],"stops":[342],"vanishing":[345],"mass.":[346]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}