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General Logarithmic Corrections to Bekenstein-Hawking Entropy
General Relativity and Quantum Cosmology · Submitted 20 Sep 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim When the first order approximation is taken into account, the logarithmic term of entropy correction is consistent with the result of the generalized uncertainty principle.
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The abstract, sentence by sentence
Recently, there has been a lot of attention devoted to resolving the quantum corrections to the Bekenstein-Hawking entropy of the black hole. In particular, the coefficient of the logarithmic term in the black hole entropy correction has been of great interest. In this paper, the black hole is corresponded to a canonical ensemble in statistics by radiant spectrum, resulted from the black hole tunneling effect studies and the partition function of ensemble is derived. Then the entropy of the black hole is calculated. When the first order approximation is taken into account, the logarithmic term of entropy correction is consistent with the result of the generalized uncertainty principle. In our calculation, there are no uncertainty factors. The prefactor of the logarithmic correction and the one if fluctuation is considered are the same. Our result shows that if the thermal capacity is negative, there is no divergent term. We provide a general method for further discussion on quantum correction to Bekenstein-Hawking entropy. We also offer a theoretical basis for comparing string theory and loop quantum gravitaty and deciding which one is more reliable.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Recently, there has been a lot of attention devoted to resolving the quantum corrections to the Bekenstein-Hawking entropy of the black hole. | background 1.00 | 0.04 | 0.02 | asserted 0.97 |
| s1 | In particular, the coefficient of the logarithmic term in the black hole entropy correction has been of great interest. | background 1.00 | 0.05 | 0.03 | asserted 0.94 |
| s2 | In this paper, the black hole is corresponded to a canonical ensemble in statistics by radiant spectrum, resulted from the black hole tunneling effect studies and the partition function of ensemble is derived. | method 0.96 | 0.91 | 0.06 | asserted 0.99 |
| s3 | Then the entropy of the black hole is calculated. | method 0.86 | 0.91 | 0.04 | asserted 0.93 |
| s4 | When the first order approximation is taken into account, the logarithmic term of entropy correction is consistent with the result of the generalized uncertainty principle. | result 0.95 | 0.80 | 0.30 | hedged possibility 0.79 |
| s5 | In our calculation, there are no uncertainty factors. | result 0.77 | 0.91 | 0.07 | asserted 1.00 |
| s6 | The prefactor of the logarithmic correction and the one if fluctuation is considered are the same. | result 0.97 | 0.87 | 0.21 | asserted 1.00 |
| s7 | Our result shows that if the thermal capacity is negative, there is no divergent term. | result 0.99 | 0.90 | 0.19 | asserted 1.00 |
| s8 | We provide a general method for further discussion on quantum correction to Bekenstein-Hawking entropy. | contribution 0.53 | 0.84 | 0.15 | asserted 0.99 |
| s9 | We also offer a theoretical basis for comparing string theory and loop quantum gravitaty and deciding which one is more reliable. | interpretation 0.60 | 0.68 | 0.09 | asserted 0.91 |
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Original abstract
Recently, there has been a lot of attention devoted to resolving the quantum corrections to the Bekenstein-Hawking entropy of the black hole. In particular, the coefficient of the logarithmic term in the black hole entropy correction has been of great interest. In this paper, the black hole is corresponded to a canonical ensemble in statistics by radiant spectrum, resulted from the black hole tunneling effect studies and the partition function of ensemble is derived. Then the entropy of the black hole is calculated. When the first order approximation is taken into account, the logarithmic term of entropy correction is consistent with the result of the generalized uncertainty principle. In our calculation, there are no uncertainty factors. The prefactor of the logarithmic correction and the one if fluctuation is considered are the same. Our result shows that if the thermal capacity is negative, there is no divergent term. We provide a general method for further discussion on quantum correction to Bekenstein-Hawking entropy. We also offer a theoretical basis for comparing string theory and loop quantum gravitaty and deciding which one is more reliable.
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Over the last four decades, many researches were done on black hole physics and concern quasinormal modes [ref] , energy distribution [ref] , radiation and thermodynamics [ref] .
Thermodynamics and Phase transition from regular Bardeen black hole · Introduction · 1.00
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