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black hole entropy from entropy of Hawking Radiation

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Journal of Modern Physics 2016年第15期7卷 2063-2070页

作者： Sajad Aghapour Kamal Hajian School of Physics Institute for Research in Fundamental Sciences (IPM) Tehran Iran Department of Physics Sharif University of Technology Tehran Iran

We provide a simple way for calculating the entropy of a Schwarzschild black hole from the entropy of its Hawking radiation. To this end, we show that if a thermodynamic system loses its energy only through the black body radiation, its loss of entropy is always 3/4 of the entropy of the emitted radiation. This proposition enables us to relate the entropy of an evaporating black hole to the entropy of its Hawking radiation. Explicitly, by calculating the entropy of the Hawking radiation emitted in the full period of evaporation of the black hole, we find the Bekenstein-Hawking entropy of the initial black hole.

关键词： black hole entropy Hawking Radiation Schwarzschild black hole

Modified Wave Particle Duality and black hole Physics

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Communications in Theoretical Physics 2007年第7期48卷 93-98页

作者： LI Xiang Department of Physics,Nanchang University,Nanchang 330047,China Department of Physics Nanchang University

de Broglie relation is revisited,in consideration of a generalization of canonical commuting *** effects on particle's localization and black hole physics are also discussed,in a heuristic manner.

关键词： wave-particle duality dispersion relation localization limit black hole entropy

Thermodynamics of the black holes under the extended generalized uncertainty principle with linear terms

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Communications in Theoretical Physics 2022年第5期74卷 106-113页

作者： He Su Chao-Yun Long College of Physics Guizhou UniversityGuiyang550025China

In this paper,we employ the extended generalized uncertainty principle with linear terms(LEGUP)to investigate the thermodynamics properties of the Schwarzschild and Reissner–Nordstr?m(RN)black ***,by constructing the theoretical framework of LEGUP,the minimal temperature of the Schwarzschild black hole and the modified mass–temperature function for the black hole are ***,the heat capacity function for the Schwarzschild black hole is *** that,we compare LEGUP black hole thermodynamics with EGUP black hole and with the usual ***,the modification of black hole entropy is discussed,which involves a heuristic analysis of particles absorbed by the black ***,we derive the LEGUP-corrected temperature,heat capacity and entropy functions of the RN black hole.

关键词： black hole thermodynamics generalized uncertainty principle black hole entropy

Parikh-Wilczek Tunneling as Massive Particles from Noncommutative Schwarzschild black hole

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Communications in Theoretical Physics 2009年第11期52卷 865-870页

作者： S.HamidMehdipour Islamic Azad University Lahijan BranchP.O.Box 1616LahijanIRAN

In this paper, we apply the tunneling of massive particle through the quantum horizon of a Schwarzschild black hole in noncommutative spaeetime. The tunneling effects lead to modified Hawking radiation due to inclusion of back-reaction effects. Our calculations show also that noncommutativity effects cause the further modifications to the thermodynamical relations in black hole. We calculate the emission rate of the massive particles＇ tunneling from a Schwarzschild black hole which is modified on account of noncommutativity influences. The issues of information loss and possible correlations between emitted particles are discussed. Unfortunately even by considering noneommutativity view point, there is no correlation between different modes of evaporation at least at late-time. Nevertheless, as a result of spacetime noncommutativity, information may be conserved by a stable black hole remnant.

关键词： quantum tunneling hawking radiation noncommutative spacetime black hole entropy information loss paradox

entropy of Four-Dimensional Spherically Symmetric black holes with Planck Length

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Communications in Theoretical Physics 2008年第12期50卷 1327-1330页

作者： ZHAO Ren ZHANG Li-Chun WU Yue-Qin LI Huai-Fan Department of Physics Shanxi Datong University Datong 037009 China

Considering corrections to all orders in Planck length on the quantum state density from a generalized uncertainty principle （GUP）, we calculate the statistical entropy of the Bose field and Fermi field on the background of the four-dimensional spherically symmetric black holes without any cutoff. It is obtained that the statistical entropy is directly proportional to the area of horizon.

关键词： generalized uncertainty principle black hole entropy

entropy of Causal Horizons

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Journal of Applied Mathematics and Physics 2016年第12期4卷 2290-2300页

作者： Eric M. Howard Department of Physics and Astronomy Macquarie University Sydney Australia

We analyze spacetimes with horizons and study the thermodynamic aspects of causal horizons, suggesting that the resemblance between gravitational and thermodynamic systems has a deeper quantum mechanical origin. We find that the observer dependence of such horizons is a direct consequence of associating a temperature and entropy to a spacetime. The geometrical picture of a horizon acting as a one-way membrane for information flow can be accepted as a natural interpretation of assigning a quantum field theory to a spacetime with boundary, ultimately leading to a close connection with thermodynamics.

关键词： black hole entropy Causal Horizon black hole Horizon black hole Thermodynamics Rindler Spacetime Rindler Horizon Quantum Gravity Thermodynamics of Spacetime