Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes

One of the challenges of today's theoretical physics is to fully understand the connection between a geometrical object like area and a thermostatistical one like entropy, since we have theoretical proofs that the area behaves analogously like entropy does. The Bekenstein bound suggests a unive...

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Main Authors: Everton M.C. Abreu, Jorge Ananias Neto
Format: Article
Language:English
Published: Elsevier 2022-12-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269322006992
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author Everton M.C. Abreu
Jorge Ananias Neto
author_facet Everton M.C. Abreu
Jorge Ananias Neto
author_sort Everton M.C. Abreu
collection DOAJ
description One of the challenges of today's theoretical physics is to fully understand the connection between a geometrical object like area and a thermostatistical one like entropy, since we have theoretical proofs that the area behaves analogously like entropy does. The Bekenstein bound suggests a universal constraint for the entropy in a flat space region. The Bekenstein-Hawking entropy of black holes satisfies the Bekenstein bound conjecture. In this paper we have shown that when we use important non-Gaussian entropies, like the ones of Barrow, Tsallis and Kaniadakis to describe the Schwarzschild black hole, then the Bekenstein bound conjecture seems to fail.
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spelling doaj.art-ac7fd829da564d58b9bd10227f0a1dbc2022-12-22T03:44:59ZengElsevierPhysics Letters B0370-26932022-12-01835137565Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holesEverton M.C. Abreu0Jorge Ananias Neto1Departamento de Física, Universidade Federal Rural do Rio de Janeiro, 23890-971, Seropédica, RJ, Brazil; Departamento de Física, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, MG, Brazil; Programa de Pós-Graduação Interdisciplinar em Física Aplicada, Instituto de Física, Universidade Federal do Rio de Janeiro, 21941-972, Rio de Janeiro, RJ, BrazilDepartamento de Física, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, MG, BrazilOne of the challenges of today's theoretical physics is to fully understand the connection between a geometrical object like area and a thermostatistical one like entropy, since we have theoretical proofs that the area behaves analogously like entropy does. The Bekenstein bound suggests a universal constraint for the entropy in a flat space region. The Bekenstein-Hawking entropy of black holes satisfies the Bekenstein bound conjecture. In this paper we have shown that when we use important non-Gaussian entropies, like the ones of Barrow, Tsallis and Kaniadakis to describe the Schwarzschild black hole, then the Bekenstein bound conjecture seems to fail.http://www.sciencedirect.com/science/article/pii/S0370269322006992Bekenstein boundBarrow entropyTsallis entropyKaniadakis entropy
spellingShingle Everton M.C. Abreu
Jorge Ananias Neto
Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes
Physics Letters B
Bekenstein bound
Barrow entropy
Tsallis entropy
Kaniadakis entropy
title Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes
title_full Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes
title_fullStr Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes
title_full_unstemmed Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes
title_short Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes
title_sort statistical approaches and the bekenstein bound conjecture in schwarzschild black holes
topic Bekenstein bound
Barrow entropy
Tsallis entropy
Kaniadakis entropy
url http://www.sciencedirect.com/science/article/pii/S0370269322006992
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