Entropía Bekenstein-Hawking: una conexión entre la teoría de la información y la termodinámica

ilustraciones, diagramas

Autores:
Delgado Ballén, Juan Carlos
Tipo de recurso:
Fecha de publicación:
2024
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
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oai:repositorio.unal.edu.co:unal/86367
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/86367
https://repositorio.unal.edu.co/
Palabra clave:
530 - Física::539 - Física moderna
Entropía Bekenstein-Hawking
Radiación Hawking
Microestados
Agujero negro
Bekenstein-Hawking entropy
Hawking radiation
Microstates
Black hole
Termodinámica
Teoría de la información
Teoría cuántica
Thermodynamics
Information theory
Quantum theory
entropía de Bekenstein-Hawking
Bekenstein-Hawking entropy
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_d829c1acce03229281e3eeb393334563
oai_identifier_str oai:repositorio.unal.edu.co:unal/86367
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
dc.title.spa.fl_str_mv Entropía Bekenstein-Hawking: una conexión entre la teoría de la información y la termodinámica
dc.title.translated.eng.fl_str_mv Bekenstein-Hawking entropy: a connection between information theory and thermodynamics
title Entropía Bekenstein-Hawking: una conexión entre la teoría de la información y la termodinámica
spellingShingle Entropía Bekenstein-Hawking: una conexión entre la teoría de la información y la termodinámica
530 - Física::539 - Física moderna
Entropía Bekenstein-Hawking
Radiación Hawking
Microestados
Agujero negro
Bekenstein-Hawking entropy
Hawking radiation
Microstates
Black hole
Termodinámica
Teoría de la información
Teoría cuántica
Thermodynamics
Information theory
Quantum theory
entropía de Bekenstein-Hawking
Bekenstein-Hawking entropy
title_short Entropía Bekenstein-Hawking: una conexión entre la teoría de la información y la termodinámica
title_full Entropía Bekenstein-Hawking: una conexión entre la teoría de la información y la termodinámica
title_fullStr Entropía Bekenstein-Hawking: una conexión entre la teoría de la información y la termodinámica
title_full_unstemmed Entropía Bekenstein-Hawking: una conexión entre la teoría de la información y la termodinámica
title_sort Entropía Bekenstein-Hawking: una conexión entre la teoría de la información y la termodinámica
dc.creator.fl_str_mv Delgado Ballén, Juan Carlos
dc.contributor.advisor.spa.fl_str_mv Arenas Salazar, José Robel
dc.contributor.author.eng.fl_str_mv Delgado Ballén, Juan Carlos
dc.subject.ddc.spa.fl_str_mv 530 - Física::539 - Física moderna
topic 530 - Física::539 - Física moderna
Entropía Bekenstein-Hawking
Radiación Hawking
Microestados
Agujero negro
Bekenstein-Hawking entropy
Hawking radiation
Microstates
Black hole
Termodinámica
Teoría de la información
Teoría cuántica
Thermodynamics
Information theory
Quantum theory
entropía de Bekenstein-Hawking
Bekenstein-Hawking entropy
dc.subject.proposal.spa.fl_str_mv Entropía Bekenstein-Hawking
Radiación Hawking
Microestados
Agujero negro
dc.subject.proposal.eng.fl_str_mv Bekenstein-Hawking entropy
Hawking radiation
Microstates
Black hole
dc.subject.unesco.spa.fl_str_mv Termodinámica
Teoría de la información
Teoría cuántica
dc.subject.unesco.eng.fl_str_mv Thermodynamics
Information theory
Quantum theory
dc.subject.wikidata.spa.fl_str_mv entropía de Bekenstein-Hawking
dc.subject.wikidata.eng.fl_str_mv Bekenstein-Hawking entropy
description ilustraciones, diagramas
publishDate 2024
dc.date.accessioned.none.fl_str_mv 2024-07-03T02:05:35Z
dc.date.available.none.fl_str_mv 2024-07-03T02:05:35Z
dc.date.issued.none.fl_str_mv 2024-07-02
dc.type.spa.fl_str_mv Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/TM
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/86367
dc.identifier.instname.spa.fl_str_mv Universidad Nacional de Colombia
dc.identifier.reponame.spa.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
dc.identifier.repourl.spa.fl_str_mv https://repositorio.unal.edu.co/
url https://repositorio.unal.edu.co/handle/unal/86367
https://repositorio.unal.edu.co/
identifier_str_mv Universidad Nacional de Colombia
Repositorio Institucional Universidad Nacional de Colombia
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.references.spa.fl_str_mv C. Shannon. The mathematical theory of communication. 1957.
M. Nielsen and I. Chuang. Quantum Computation and Quantum Information. Cambridge University Press, 2010.
J. Pinochet. Exploring black holes. arXiv preprint arXiv:2108.01688, 2021.
D’Inverno. Introducing Einstein’s relativity. Oxford University Press, 1992.
N. Zettili. Quantum Mechanics: concepts and applications. Wiley, 2009.
C.H. Fleming. Hawking radiation as tunneling. 2005.
H. Dong, Q.-y. Cai, X.-f. Liu, and C.P. Sun. One hair postulate for Hawking radiation as tunneling process. Communications in Theoretical Physics, 61(3):289, 2014.
L. Susskind and J. Lindesay. Introduction to Black Holes, Information and the String Theory Revolution. World Scientific, 2004.
B. Zhang, Q.-y. Cai, M. Zhan, and L. You. Information conservation is fundamental: recovering the lost information in Hawking radiation. International Journal of Modern Physics D, 22, 2013.
J.D. Bekenstein. Black holes and the second law. Lett. Nuovo Cim., 4:737–740, 1972.
J.D. Bekenstein. Black holes and entropy. Phys. Rev. D, 7:2333–2346, 1973.
S.W. Hawking. Black hole explosions. Nature, 248:30–31, 1974.
S.W. Hawking. Particle creation by black holes. Commun. Math. Phys., 43:199–220, 1975.
W.H. Zurek. Entropy evaporated by a black hole. Phys. Rev. Lett., 49:1683–1686, Dec 1982.
M.K. Parikh and F. Wilczek. Hawking radiation as tunneling. Physical Review Letters, 85(24):5042–5045, 2000.
B. Zhang, Q.-y. Cai, L. You, and M.S. Zhan. Hidden messenger revealed in Hawking radiation: a resolution to the paradox of black hole information loss. Physics Letters B, 675(1):98–101, 2009.
Q.-y. Cai, Ch.-p. Sun, and L. You. Information-carrying Hawking radiation and the number of microstate for a black hole. Nuclear Physics B, 905:327–336, 2016.
J. Cano and W. Pulido. La paradoja de la pérdida de información de los agujeros negros. Momento, pages 59 – 88, 2019.
J.R. Arenas. Termodinámica de agujeros negros. Revista colombiana de astronomía, astrofísica, cosmología y ciencias afines, 1:11–20, 1999.
S. Carroll. Spacetime and Geometry: An Introduction to General Relativity. Addison Wesley, 2004.
V. Frolov and A. Zelnikov. Introduction to Black Hole Physics. Oxford University Press, 2011.
K. Thorne. Agujeros negros y tiempo curvo. Ed. Crítica, 1995.
D. Griffiths. Introduction to Quantum Mechanics. Pearson Prentice Hall, 2005.
T. Dobrian. Hawking Radiation with the WKB and Graviational WKB approximations. Tesis, University of Colorado Boulder, 2019.
M. Parikh. A Secret Tunnel Through The Horizon. International Journal of Modern Physics D, 13(10):2351–2354, 2004.
P. Kraus and F. Wilczek. Self-interaction correction to black hole radiance. Nuclear Physics B, 433(2):403–420, 1995.
M. Parikh. Energy conservation and Hawking radiation. arXiv preprint hep-th/0402166, 2004.
L. Brillouin. La información y la incertidumbre en la ciencia. UNAM, México, 1969.
L. Brillouin. Science and Information Theory. Academic Press, New York, 1956.
F. Reif. Física estadística. Reverté, Barcelona, 1993.
J. Zhang and Z. Zhao. Hawking radiation of charged particles via tunneling from the Reissner-Nordström black hole. Journal of High Energy Physics, 2005(10):055, 2005.
L. Bombelli, R.K. Koul, J. Lee, and R.D. Sorkin. Quantum source of entropy for black holes. Phys. Rev. D, 34:373–383, 1986.
V. Frolov and I. Novikov. Dynamical origin of the entropy of a black hole. Physical Review D, 48(10):4545, 1993.
A. Strominger and C. Vafa. Microscopic origin of the Bekenstein-Hawking entropy. Physics Letters B, 379(1-4):99–104, 1996.
D. He and Q. Cai. Gravitational correlation, black hole entropy, and information conservation. Science China Physics, Mechanics & Astronomy, 60:1–9, 2017.
D. Fursaev. Can one understand black hole entropy without knowing much about quantum gravity? arXiv preprint gr-qc/0404038, 2004.
J.D. Bekenstein. Black-hole thermodynamics. Physics Today, 33(1):24–31, 1980.
B. Zhang, Q.-y. Cai, M.S. Zhan, and L. You. An interpretation for the entropy of a black hole. General Relativity and Gravitation, 43:797–804, 2011.
B.R. Majhi. Quantum Tunneling in Black Holes. Tesis de doctorado, University of Calcuta, India, 2010.
J.M. Bardeen, B. Carter, and S.W. Hawking. The four laws of black hole mechanics. Communications in mathematical physics, 31:161–170, 1973.
L. Vanzo, G. Acquaviva, and R. Di Criscienzo. Tunnelling methods and Hawking’s radiation: achievements and prospects. Classical and Quantum Gravity, 28(18):183001, 2011.
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.format.extent.spa.fl_str_mv xii, 62 páginas
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia
dc.publisher.program.spa.fl_str_mv Bogotá - Ciencias - Maestría en Ciencias - Física
dc.publisher.faculty.spa.fl_str_mv Facultad de Ciencias
dc.publisher.place.spa.fl_str_mv Bogotá, Colombia
dc.publisher.branch.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá
institution Universidad Nacional de Colombia
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spelling Atribución-NoComercial 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Arenas Salazar, José Robelef9c9f40f98f012478a028312f2e76adDelgado Ballén, Juan Carlos1c507189d159f14ff5fe9bc1f8e463f72024-07-03T02:05:35Z2024-07-03T02:05:35Z2024-07-02https://repositorio.unal.edu.co/handle/unal/86367Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/ilustraciones, diagramasSe modela la entropía de Bekenstein-Hawking con base en el conteo de microestados de la radiación Hawking en los agujeros negros de Schwarzschild y Reissner-Nordström. Se muestra la conservación de la información y la entropía tras un proceso de evaporación de un agujero negro por la radiación Hawking vía tunelamiento cuántico. (Texto tomado de la fuente).The Bekenstein-Hawking entropy is modeled based on the count of microstates of Hawking radiation in Schwarzschild and Reissner-Nordström black holes. The conservation of information and entropy is shown in a process of evaporation of a black hole by Hawking radiation through quantum tunneling.MaestríaMagíster en Ciencias - Físicaxii, 62 páginasapplication/pdfspaUniversidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - FísicaFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá530 - Física::539 - Física modernaEntropía Bekenstein-HawkingRadiación HawkingMicroestadosAgujero negroBekenstein-Hawking entropyHawking radiationMicrostatesBlack holeTermodinámicaTeoría de la informaciónTeoría cuánticaThermodynamicsInformation theoryQuantum theoryentropía de Bekenstein-HawkingBekenstein-Hawking entropyEntropía Bekenstein-Hawking: una conexión entre la teoría de la información y la termodinámicaBekenstein-Hawking entropy: a connection between information theory and thermodynamicsTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMC. Shannon. The mathematical theory of communication. 1957.M. Nielsen and I. Chuang. Quantum Computation and Quantum Information. Cambridge University Press, 2010.J. Pinochet. Exploring black holes. arXiv preprint arXiv:2108.01688, 2021.D’Inverno. Introducing Einstein’s relativity. Oxford University Press, 1992.N. Zettili. Quantum Mechanics: concepts and applications. Wiley, 2009.C.H. Fleming. Hawking radiation as tunneling. 2005.H. Dong, Q.-y. Cai, X.-f. Liu, and C.P. Sun. One hair postulate for Hawking radiation as tunneling process. Communications in Theoretical Physics, 61(3):289, 2014.L. Susskind and J. Lindesay. Introduction to Black Holes, Information and the String Theory Revolution. World Scientific, 2004.B. Zhang, Q.-y. Cai, M. Zhan, and L. You. Information conservation is fundamental: recovering the lost information in Hawking radiation. International Journal of Modern Physics D, 22, 2013.J.D. Bekenstein. Black holes and the second law. Lett. Nuovo Cim., 4:737–740, 1972.J.D. Bekenstein. Black holes and entropy. Phys. Rev. D, 7:2333–2346, 1973.S.W. Hawking. Black hole explosions. Nature, 248:30–31, 1974.S.W. Hawking. Particle creation by black holes. Commun. Math. Phys., 43:199–220, 1975.W.H. Zurek. Entropy evaporated by a black hole. Phys. Rev. Lett., 49:1683–1686, Dec 1982.M.K. Parikh and F. Wilczek. Hawking radiation as tunneling. Physical Review Letters, 85(24):5042–5045, 2000.B. Zhang, Q.-y. Cai, L. You, and M.S. Zhan. Hidden messenger revealed in Hawking radiation: a resolution to the paradox of black hole information loss. Physics Letters B, 675(1):98–101, 2009.Q.-y. Cai, Ch.-p. Sun, and L. You. Information-carrying Hawking radiation and the number of microstate for a black hole. Nuclear Physics B, 905:327–336, 2016.J. Cano and W. Pulido. La paradoja de la pérdida de información de los agujeros negros. Momento, pages 59 – 88, 2019.J.R. Arenas. Termodinámica de agujeros negros. Revista colombiana de astronomía, astrofísica, cosmología y ciencias afines, 1:11–20, 1999.S. Carroll. Spacetime and Geometry: An Introduction to General Relativity. Addison Wesley, 2004.V. Frolov and A. Zelnikov. Introduction to Black Hole Physics. Oxford University Press, 2011.K. Thorne. Agujeros negros y tiempo curvo. Ed. Crítica, 1995.D. Griffiths. Introduction to Quantum Mechanics. Pearson Prentice Hall, 2005.T. Dobrian. Hawking Radiation with the WKB and Graviational WKB approximations. Tesis, University of Colorado Boulder, 2019.M. Parikh. A Secret Tunnel Through The Horizon. International Journal of Modern Physics D, 13(10):2351–2354, 2004.P. Kraus and F. Wilczek. Self-interaction correction to black hole radiance. Nuclear Physics B, 433(2):403–420, 1995.M. Parikh. Energy conservation and Hawking radiation. arXiv preprint hep-th/0402166, 2004.L. Brillouin. La información y la incertidumbre en la ciencia. UNAM, México, 1969.L. Brillouin. Science and Information Theory. Academic Press, New York, 1956.F. Reif. Física estadística. Reverté, Barcelona, 1993.J. Zhang and Z. Zhao. Hawking radiation of charged particles via tunneling from the Reissner-Nordström black hole. Journal of High Energy Physics, 2005(10):055, 2005.L. Bombelli, R.K. Koul, J. Lee, and R.D. Sorkin. Quantum source of entropy for black holes. Phys. Rev. D, 34:373–383, 1986.V. Frolov and I. Novikov. Dynamical origin of the entropy of a black hole. Physical Review D, 48(10):4545, 1993.A. Strominger and C. Vafa. Microscopic origin of the Bekenstein-Hawking entropy. Physics Letters B, 379(1-4):99–104, 1996.D. He and Q. Cai. Gravitational correlation, black hole entropy, and information conservation. Science China Physics, Mechanics & Astronomy, 60:1–9, 2017.D. Fursaev. Can one understand black hole entropy without knowing much about quantum gravity? arXiv preprint gr-qc/0404038, 2004.J.D. Bekenstein. Black-hole thermodynamics. Physics Today, 33(1):24–31, 1980.B. Zhang, Q.-y. Cai, M.S. Zhan, and L. You. An interpretation for the entropy of a black hole. General Relativity and Gravitation, 43:797–804, 2011.B.R. Majhi. Quantum Tunneling in Black Holes. Tesis de doctorado, University of Calcuta, India, 2010.J.M. Bardeen, B. Carter, and S.W. Hawking. The four laws of black hole mechanics. Communications in mathematical physics, 31:161–170, 1973.L. Vanzo, G. Acquaviva, and R. Di Criscienzo. Tunnelling methods and Hawking’s radiation: achievements and prospects. Classical and Quantum Gravity, 28(18):183001, 2011.InvestigadoresORIGINAL79170406.2024.pdf79170406.2024.pdfTesis de Maestría en Ciencias - Físicaapplication/pdf1063939https://repositorio.unal.edu.co/bitstream/unal/86367/4/79170406.2024.pdf06f3b325039a55aeba73fe4f172ee753MD54LICENSElicense.txtlicense.txttext/plain; charset=utf-85879https://repositorio.unal.edu.co/bitstream/unal/86367/3/license.txteb34b1cf90b7e1103fc9dfd26be24b4aMD53THUMBNAIL79170406.2024.pdf.jpg79170406.2024.pdf.jpgGenerated Thumbnailimage/jpeg4306https://repositorio.unal.edu.co/bitstream/unal/86367/5/79170406.2024.pdf.jpg6c01af99a131df4a3c7be229128582ddMD55unal/86367oai:repositorio.unal.edu.co:unal/863672024-08-26 23:10:16.642Repositorio Institucional Universidad Nacional de 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