Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics
In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations across the horizon due to SU(2) intertwiners. We further show that Hawking ra...
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Дата: | 2013 |
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Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2013
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Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149217 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics / A. Dasgupta // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 43 назв. — англ. |
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irk-123456789-1492172019-02-20T01:29:09Z Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics Dasgupta, A. In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations across the horizon due to SU(2) intertwiners. We further show that Hawking radiation is a consequence of a non-Hermitian term in the evolution operator, which is necessary for entropy production or depletion at the horizon. This non-unitary evolution is also rooted in formulations of irreversible physics. 2013 Article Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics / A. Dasgupta // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 43 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 83C57; 81Q35; 81T20 DOI: http://dx.doi.org/10.3842/SIGMA.2013.013 http://dspace.nbuv.gov.ua/handle/123456789/149217 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
description |
In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations across the horizon due to SU(2) intertwiners. We further show that Hawking radiation is a consequence of a non-Hermitian term in the evolution operator, which is necessary for entropy production or depletion at the horizon. This non-unitary evolution is also rooted in formulations of irreversible physics. |
format |
Article |
author |
Dasgupta, A. |
spellingShingle |
Dasgupta, A. Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics Symmetry, Integrability and Geometry: Methods and Applications |
author_facet |
Dasgupta, A. |
author_sort |
Dasgupta, A. |
title |
Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics |
title_short |
Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics |
title_full |
Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics |
title_fullStr |
Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics |
title_full_unstemmed |
Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics |
title_sort |
semiclassical loop quantum gravity and black hole thermodynamics |
publisher |
Інститут математики НАН України |
publishDate |
2013 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/149217 |
citation_txt |
Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics / A. Dasgupta // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 43 назв. — англ. |
series |
Symmetry, Integrability and Geometry: Methods and Applications |
work_keys_str_mv |
AT dasguptaa semiclassicalloopquantumgravityandblackholethermodynamics |
first_indexed |
2023-05-20T17:32:15Z |
last_indexed |
2023-05-20T17:32:15Z |
_version_ |
1796153514819321856 |