Black Hole Entropy: A Closer Look
In many papers in the literature, author(s) express their perplexity concerning the fact that the (<inline-formula> <math display="inline"> <semantics> <mrow> <mn>3</mn> <mo>+</mo> <mn>1</mn> </mrow> </semantics> </...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-12-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/1/17 |
| _version_ | 1817993529293537280 |
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| author | Constantino Tsallis |
| author_facet | Constantino Tsallis |
| author_sort | Constantino Tsallis |
| collection | DOAJ |
| description | In many papers in the literature, author(s) express their perplexity concerning the fact that the (<inline-formula> <math display="inline"> <semantics> <mrow> <mn>3</mn> <mo>+</mo> <mn>1</mn> </mrow> </semantics> </math> </inline-formula>) black-hole ‘thermodynamical’ entropy appears to be proportional to its area and not to its volume, and would therefore seemingly be nonextensive, or, to be more precise, subextensive. To discuss this question on more clear terms, a non-Boltzmannian entropic functional noted <inline-formula> <math display="inline"> <semantics> <msub> <mi>S</mi> <mi>δ</mi> </msub> </semantics> </math> </inline-formula> was applied [Tsallis and Cirto, Eur. Phys. J. C 73, 2487 (2013)] to this complex system which exhibits the so-called area-law. However, some nontrivial physical points still remain open, which we revisit now. This discussion is also based on the fact that the well known Bekenstein-Hawking entropy can be expressed as being proportional to the event horizon area divided by the square of the Planck length. |
| first_indexed | 2024-04-14T01:41:01Z |
| format | Article |
| id | doaj.art-0e5de7e12f7e4c22a1945073e148635c |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T01:41:01Z |
| publishDate | 2019-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-0e5de7e12f7e4c22a1945073e148635c2022-12-22T02:19:45ZengMDPI AGEntropy1099-43002019-12-012211710.3390/e22010017e22010017Black Hole Entropy: A Closer LookConstantino Tsallis0Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology of Complex Systems, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, RJ, BrazilIn many papers in the literature, author(s) express their perplexity concerning the fact that the (<inline-formula> <math display="inline"> <semantics> <mrow> <mn>3</mn> <mo>+</mo> <mn>1</mn> </mrow> </semantics> </math> </inline-formula>) black-hole ‘thermodynamical’ entropy appears to be proportional to its area and not to its volume, and would therefore seemingly be nonextensive, or, to be more precise, subextensive. To discuss this question on more clear terms, a non-Boltzmannian entropic functional noted <inline-formula> <math display="inline"> <semantics> <msub> <mi>S</mi> <mi>δ</mi> </msub> </semantics> </math> </inline-formula> was applied [Tsallis and Cirto, Eur. Phys. J. C 73, 2487 (2013)] to this complex system which exhibits the so-called area-law. However, some nontrivial physical points still remain open, which we revisit now. This discussion is also based on the fact that the well known Bekenstein-Hawking entropy can be expressed as being proportional to the event horizon area divided by the square of the Planck length.https://www.mdpi.com/1099-4300/22/1/17black holesnonadditive entropiesthermodynamicscomplex systems |
| spellingShingle | Constantino Tsallis Black Hole Entropy: A Closer Look Entropy black holes nonadditive entropies thermodynamics complex systems |
| title | Black Hole Entropy: A Closer Look |
| title_full | Black Hole Entropy: A Closer Look |
| title_fullStr | Black Hole Entropy: A Closer Look |
| title_full_unstemmed | Black Hole Entropy: A Closer Look |
| title_short | Black Hole Entropy: A Closer Look |
| title_sort | black hole entropy a closer look |
| topic | black holes nonadditive entropies thermodynamics complex systems |
| url | https://www.mdpi.com/1099-4300/22/1/17 |
| work_keys_str_mv | AT constantinotsallis blackholeentropyacloserlook |