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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Format: | Article |
Language: | English |
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Elsevier
2022-12-01
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Series: | Physics Letters B |
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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. |
first_indexed | 2024-04-12T06:02:57Z |
format | Article |
id | doaj.art-ac7fd829da564d58b9bd10227f0a1dbc |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-04-12T06:02:57Z |
publishDate | 2022-12-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
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 |
work_keys_str_mv | AT evertonmcabreu statisticalapproachesandthebekensteinboundconjectureinschwarzschildblackholes AT jorgeananiasneto statisticalapproachesandthebekensteinboundconjectureinschwarzschildblackholes |