Can entanglement explain black hole entropy?
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Tipo de documento: | Dissertação |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/91804 |
Resumo: | When seeking inspiration for a future theory of quantum gravity, studying black holes is a promising ansatz, since they present us with several puzzles at the intersection of quantum theory and gravity. Among these is their entropy: although there are compelling arguments for its existence, its origin and statistical meaning remain a mystery. Previous work showed that at least some aspects of this phenomenon can be accounted for by the entanglement of quantum fields across the horizon: if a field is globally in a pure state, yet part of it is hidden behind the event horizon, then the reduced state of the remainder possesses non-zero entropy. This is the possibility we explore in the present work, in the simplest of settings: a ground-state escalar field, defined in three-dimensional, flat or unifromily curved space, and derive an expression for the entropy, which is evauated numerically. the results show that the entropy scales with the boundary area of the inaccessible region, a key feature of black hole entropy known as the area law. Furthermore. we conclude that the dominant contribution to the entropy is due to short-range interactions, and discuss some physical implications of this insight for the puzzle of black hole entropy |
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Can entanglement explain black hole entropy?Buracos negros (Astronomia)Teoria quântica de camposBlack holes (Astronomy)Quantum field theoryWhen seeking inspiration for a future theory of quantum gravity, studying black holes is a promising ansatz, since they present us with several puzzles at the intersection of quantum theory and gravity. Among these is their entropy: although there are compelling arguments for its existence, its origin and statistical meaning remain a mystery. Previous work showed that at least some aspects of this phenomenon can be accounted for by the entanglement of quantum fields across the horizon: if a field is globally in a pure state, yet part of it is hidden behind the event horizon, then the reduced state of the remainder possesses non-zero entropy. This is the possibility we explore in the present work, in the simplest of settings: a ground-state escalar field, defined in three-dimensional, flat or unifromily curved space, and derive an expression for the entropy, which is evauated numerically. the results show that the entropy scales with the boundary area of the inaccessible region, a key feature of black hole entropy known as the area law. Furthermore. we conclude that the dominant contribution to the entropy is due to short-range interactions, and discuss some physical implications of this insight for the puzzle of black hole entropyConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Universidade Estadual Paulista (Unesp)Matsas, George Emanuel Avraam [UNESP]Universidade Estadual Paulista (Unesp)Ried, Katja [UNESP]2014-06-11T19:25:29Z2014-06-11T19:25:29Z2010-11-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis75 f. : il.application/pdfRIED, Katja. Can entanglement explain black hole entropy?. 2011. 75 f. Dissertação (mestrado) - Universidade Estadual Paulista, Instituto de Física Teórica, 2011.http://hdl.handle.net/11449/91804000683498ried_k_me_ift.pdf33015015001P78525680767393616Alephreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPenginfo:eu-repo/semantics/openAccess2023-12-30T06:16:20Zoai:repositorio.unesp.br:11449/91804Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-30T06:16:20Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Can entanglement explain black hole entropy? |
title |
Can entanglement explain black hole entropy? |
spellingShingle |
Can entanglement explain black hole entropy? Ried, Katja [UNESP] Buracos negros (Astronomia) Teoria quântica de campos Black holes (Astronomy) Quantum field theory |
title_short |
Can entanglement explain black hole entropy? |
title_full |
Can entanglement explain black hole entropy? |
title_fullStr |
Can entanglement explain black hole entropy? |
title_full_unstemmed |
Can entanglement explain black hole entropy? |
title_sort |
Can entanglement explain black hole entropy? |
author |
Ried, Katja [UNESP] |
author_facet |
Ried, Katja [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Matsas, George Emanuel Avraam [UNESP] Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Ried, Katja [UNESP] |
dc.subject.por.fl_str_mv |
Buracos negros (Astronomia) Teoria quântica de campos Black holes (Astronomy) Quantum field theory |
topic |
Buracos negros (Astronomia) Teoria quântica de campos Black holes (Astronomy) Quantum field theory |
description |
When seeking inspiration for a future theory of quantum gravity, studying black holes is a promising ansatz, since they present us with several puzzles at the intersection of quantum theory and gravity. Among these is their entropy: although there are compelling arguments for its existence, its origin and statistical meaning remain a mystery. Previous work showed that at least some aspects of this phenomenon can be accounted for by the entanglement of quantum fields across the horizon: if a field is globally in a pure state, yet part of it is hidden behind the event horizon, then the reduced state of the remainder possesses non-zero entropy. This is the possibility we explore in the present work, in the simplest of settings: a ground-state escalar field, defined in three-dimensional, flat or unifromily curved space, and derive an expression for the entropy, which is evauated numerically. the results show that the entropy scales with the boundary area of the inaccessible region, a key feature of black hole entropy known as the area law. Furthermore. we conclude that the dominant contribution to the entropy is due to short-range interactions, and discuss some physical implications of this insight for the puzzle of black hole entropy |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010-11-10 2014-06-11T19:25:29Z 2014-06-11T19:25:29Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
RIED, Katja. Can entanglement explain black hole entropy?. 2011. 75 f. Dissertação (mestrado) - Universidade Estadual Paulista, Instituto de Física Teórica, 2011. http://hdl.handle.net/11449/91804 000683498 ried_k_me_ift.pdf 33015015001P7 8525680767393616 |
identifier_str_mv |
RIED, Katja. Can entanglement explain black hole entropy?. 2011. 75 f. Dissertação (mestrado) - Universidade Estadual Paulista, Instituto de Física Teórica, 2011. 000683498 ried_k_me_ift.pdf 33015015001P7 8525680767393616 |
url |
http://hdl.handle.net/11449/91804 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
75 f. : il. application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
publisher.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.source.none.fl_str_mv |
Aleph reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1803650121331638272 |