{"id":"https://openalex.org/W1856737372","doi":"https://doi.org/10.48550/arxiv.0806.0402","title":"Black hole entropy from entanglement: A review","display_name":"Black hole entropy from entanglement: A review","publication_year":2008,"publication_date":"2008-06-02","ids":{"openalex":"https://openalex.org/W1856737372","doi":"https://doi.org/10.48550/arxiv.0806.0402","mag":"1856737372"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:0806.0402","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0806.0402","pdf_url":"https://arxiv.org/pdf/0806.0402","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/0806.0402","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008954026","display_name":"Saurya Das","orcid":"https://orcid.org/0000-0003-1191-8469","observed_orcids":["https://orcid.org/0000-0003-1191-8469"]},"institutions":[{"id":"https://openalex.org/I107949126","display_name":"University of Lethbridge","ror":"https://ror.org/044j76961","country_code":"CA","type":"education","lineage":["https://openalex.org/I107949126"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Das, Saurya","raw_affiliation_strings":["Lethbridge U"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lethbridge U","institution_ids":["https://openalex.org/I107949126"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027218416","display_name":"S. Shankaranarayanan","orcid":"https://orcid.org/0000-0002-7666-4116","observed_orcids":["https://orcid.org/0000-0002-7666-4116"]},"institutions":[{"id":"https://openalex.org/I63072094","display_name":"University of Portsmouth","ror":"https://ror.org/03ykbk197","country_code":"GB","type":"education","lineage":["https://openalex.org/I63072094"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Shankaranarayanan, S.","raw_affiliation_strings":["Portsmouth U., ICG"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Portsmouth U., ICG","institution_ids":["https://openalex.org/I63072094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087548784","display_name":"Sourav Sur","orcid":"https://orcid.org/0000-0002-7911-4451","observed_orcids":["https://orcid.org/0000-0002-7911-4451","https://orcid.org/0000-0002-3502-7575"]},"institutions":[{"id":"https://openalex.org/I107949126","display_name":"University of Lethbridge","ror":"https://ror.org/044j76961","country_code":"CA","type":"education","lineage":["https://openalex.org/I107949126"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sur, Sourav","raw_affiliation_strings":["Lethbridge U"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lethbridge U","institution_ids":["https://openalex.org/I107949126"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":43,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9990000128746033,"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":0.9990000128746033,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":9.999999747378752e-05,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/black-hole-entropy","display_name":"black hole entropy","score":0.9990000128746033},{"id":"https://openalex.org/keywords/entanglement-entropy","display_name":"entanglement entropy","score":0.9039999842643738},{"id":"https://openalex.org/keywords/area-law","display_name":"area law","score":0.7839999794960022},{"id":"https://openalex.org/keywords/bekenstein-hawking-entropy","display_name":"Bekenstein-Hawking entropy","score":0.9750000238418579},{"id":"https://openalex.org/keywords/scalar-field","display_name":"scalar field","score":0.5730000138282776},{"id":"https://openalex.org/keywords/event-horizon","display_name":"event horizon","score":0.7059999704360962},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"quantum entanglement","score":0.5379999876022339},{"id":"https://openalex.org/keywords/squeezed-states","display_name":"squeezed states","score":0.7129999995231628},{"id":"https://openalex.org/keywords/coherent-states","display_name":"coherent states","score":0.9330000281333923},{"id":"https://openalex.org/keywords/excited-states","display_name":"excited states","score":0.7139999866485596},{"id":"https://openalex.org/keywords/superposition-of-states","display_name":"superposition states","score":0.6980000138282776},{"id":"https://openalex.org/keywords/power-law-corrections","display_name":"power-law corrections","score":0.7580000162124634},{"id":"https://openalex.org/keywords/massive-scalar-field","display_name":"massive scalar field","score":0.890999972820282},{"id":"https://openalex.org/keywords/asymptotically-flat-black-holes","display_name":"asymptotically flat black holes","score":0.7979999780654907},{"id":"https://openalex.org/keywords/black-hole-thermodynamics","display_name":"black hole thermodynamics","score":0.734000027179718}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7911245822906494},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7258186936378479},{"id":"https://openalex.org/C148292158","wikidata":"https://www.wikidata.org/wiki/Q181741","display_name":"Event horizon","level":3,"score":0.5583695769309998},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5332569479942322},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5222221612930298},{"id":"https://openalex.org/C181500209","wikidata":"https://www.wikidata.org/wiki/Q215328","display_name":"Excited state","level":2,"score":0.4880169928073883},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.4597189426422119},{"id":"https://openalex.org/C63745668","wikidata":"https://www.wikidata.org/wiki/Q911284","display_name":"Black hole thermodynamics","level":3,"score":0.4393930733203888},{"id":"https://openalex.org/C50341732","wikidata":"https://www.wikidata.org/wiki/Q880302","display_name":"Black hole (networking)","level":5,"score":0.4335240125656128},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.41617900133132935},{"id":"https://openalex.org/C115026806","wikidata":"https://www.wikidata.org/wiki/Q13582215","display_name":"Black hole complementarity","level":5,"score":0.4147300720214844},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.4146372675895691},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.37070271372795105},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3613748848438263},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.24020028114318848},{"id":"https://openalex.org/C188655511","wikidata":"https://www.wikidata.org/wiki/Q609501","display_name":"Micro black hole","level":4,"score":0.09564507007598877},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C104954878","wikidata":"https://www.wikidata.org/wiki/Q1648707","display_name":"Routing protocol","level":3,"score":0.0},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.0},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:arXiv.org:0806.0402","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0806.0402","pdf_url":"https://arxiv.org/pdf/0806.0402","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":"mag:1856737372","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/0806.0402","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.311.1125","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.311.1125","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0806.0402v1.pdf","raw_type":"text"},{"id":"pmh:oai:www.uleth.ca:10133/3861","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10133/3861","pdf_url":null,"source":{"id":"https://openalex.org/S4306401508","display_name":"Open ULeth Scholarship (OPUS) (University of Lethbridge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I107949126","host_organization_name":"University of Lethbridge","host_organization_lineage":["https://openalex.org/I107949126"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"doi:10.48550/arxiv.0806.0402","doi":"https://doi.org/10.48550/arxiv.0806.0402","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.0806.0402","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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0806.0402","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0806.0402","pdf_url":"https://arxiv.org/pdf/0806.0402","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":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W119088996","https://openalex.org/W1977534155","https://openalex.org/W1984330431","https://openalex.org/W2030554333","https://openalex.org/W2117648611","https://openalex.org/W2135516191","https://openalex.org/W3007754162","https://openalex.org/W3175367423"],"related_works":["https://openalex.org/W1642196767","https://openalex.org/W2043837162","https://openalex.org/W3101518366","https://openalex.org/W2028650399","https://openalex.org/W2125263457","https://openalex.org/W1971569717","https://openalex.org/W2135516191","https://openalex.org/W7001072483","https://openalex.org/W2571349928","https://openalex.org/W4405311424"],"abstract_inverted_index":{"We":[0],"review":[1],"aspects":[2],"of":[3,6,24,26,39,62,115,157,161,169,179,232,260,278],"the":[4,15,18,22,32,37,52,58,74,99,124,143,155,158,166,177,183,188,191,199,209,213,216,229,236,248,251,256,276,279],"thermodynamics":[5],"black":[7,40,63,170,297],"holes":[8,298],"and":[9,117],"in":[10,78,83,103,108,223,265,289],"particular":[11],"take":[12],"into":[13],"account":[14],"fact":[16],"that":[17,51,141,163,175,195,283],"quantum":[19],"entanglement":[20,69,167],"between":[21],"degrees":[23,160,178,231],"freedom":[25,162,180],"a":[27,48,90,109,113,120,132,224,269],"scalar":[28,75,237],"field,":[29],"traced":[30,241],"inside":[31],"event":[33],"horizon,":[34,280],"can":[35],"be":[36,226,244,275],"origin":[38],"hole":[41,64],"entropy.":[42],"The":[43],"main":[44],"reason":[45],"behind":[46],"such":[47,88],"plausibility":[49],"is":[50,77,101,112,127,146,173,240],"well-known":[53],"Bekenstein-Hawking":[54],"entropy-area":[55],"proportionality":[56],"--":[57,66],"so-called":[59],"`area":[60],"law'":[61],"physics":[65],"holds":[67],"for":[68,148,204,208,219],"entropy":[70,168],"as":[71,89,287],"well,":[72],"provided":[73],"field":[76,100,238],"its":[79],"ground":[80,116,210],"state,":[81],"or":[82,94,107],"other":[84],"minimum":[85],"uncertainty":[86],"states,":[87,119],"generic":[91],"coherent":[92],"state":[93,106,110],"squeezed":[95],"state.":[96,211],"However,":[97],"when":[98],"either":[102],"an":[104],"excited":[105,118],"which":[111],"superposition":[114],"power-law":[121],"correction":[122,133],"to":[123,129,165,182,187,228,243,255,274],"area":[125,144,217,252],"law":[126,145,218,253],"shown":[128],"exist.":[130],"Such":[131],"term":[134],"falls":[135],"off":[136],"with":[137,268,299],"increasing":[138],"area,":[139],"so":[140],"eventually":[142],"recovered":[147],"large":[149],"enough":[150],"horizon":[151,184,200],"area.":[152],"On":[153],"ascertaining":[154],"location":[156],"microscopic":[159],"lead":[164],"holes,":[171],"it":[172],"found":[174],"although":[176],"close":[181],"contribute":[185],"most":[186,259],"total":[189],"entropy,":[190],"contributions":[192],"from":[193,198,215],"those":[194],"are":[196,201,263],"far":[197],"more":[202],"significant":[203],"excited/superposed":[205,220],"states":[206,221],"than":[207],"Thus,":[212],"deviations":[214],"may,":[222],"way,":[225],"attributed":[227],"far-away":[230],"freedom.":[233],"Finally,":[234],"taking":[235],"(which":[239],"over)":[242],"massive,":[245],"we":[246,281],"explore":[247],"changes":[249],"on":[250],"due":[254],"mass.":[257],"Although":[258],"our":[261,284],"computations":[262],"done":[264],"flat":[266,295],"space-time":[267],"hypothetical":[270],"spherical":[271,296],"region,":[272],"considered":[273],"analogue":[277],"show":[282],"results":[285],"hold":[286],"well":[288],"curved":[290],"space-times":[291],"representing":[292],"static":[293],"asymptotically":[294],"single":[300],"horizon.":[301]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}