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We calculate the net change in generalized entropy occurring when one carries out the gedanken experiment in which a box initially containing energy $E$, entropy $S$ and charge $Q$ is lowered adiabatically toward a Reissner-Nordstr\"{o}m…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Takeshi Shimomura , Shinji Mukohyama

Bekenstein has presented evidence for the existence of a universal upper bound of magnitude $2\pi R/\hbar c$ to the entropy-to-energy ratio $S/E$ of an arbitrary {\it three} dimensional system of proper radius $R$ and negligible…

General Relativity and Quantum Cosmology · Physics 2011-03-02 Shahar Hod

We rederive the universal bound on entropy with the help of black holes while allowing for Unruh--Wald buoyancy. We consider a box full of entropy lowered towards and then dropped into a Reissner--Nordstr\"om black hole in equilibrium with…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Jacob D. Bekenstein

Bekenstein's generalized second law (GSL) of thermodynamics asserts that the sum of black-hole entropy, $S_{\text{BH}}=Ac^3/4\hbar G$ (here $A$ is the black-hole surface area), and the ordinary entropy of matter and radiation fields in the…

General Relativity and Quantum Cosmology · Physics 2015-11-13 Shahar Hod

We show that the appropriate vacuum state for the interior of a box with reflecting walls being lowered adiabatically into a Schwarzschild black hole is the Boulware state. This is concordant with the results of Unruh and Wald, who used a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Warren G. Anderson

In black hole physics, the second law of thermodynamics is generally valid whether the black hole is a static or a non-static one. Considering the universe as a thermodynamical system the second law of black hole dynamics extends to the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Subenoy Chakraborty , Nairwita Mazumder , Ritabrata Biswas

We discuss the generalized second law of thermodynamics in three different systems by taking quantum corrections (logarithmic and power law) to cosmological horizon entropy as well as black hole entropy. Firstly, we consider phantom energy…

General Relativity and Quantum Cosmology · Physics 2015-06-15 M. Sharif , Abdul Jawad

Adopting the thin-layer improved brick-wall method, we investigate the thermodynamics of a black hole embedded in a spatially flat Friedmann-Robertson-Walker universe. We calculate the temperature and the entropy at every apparent horizon…

General Relativity and Quantum Cosmology · Physics 2011-03-07 Khireddine Nouicer

The Bekenstein bound, inspired by the physics of black holes, is introduced to constrain the entropy growth of a physical system down to the quantum level in the context of a generalized second law of thermodynamics. We first show that the…

High Energy Physics - Theory · Physics 2024-12-11 Mehdi Shokri

We present a semi-rigorous justification of Bekenstein's Generalized Second Law of Thermodynamics applicable to a universe with black holes present, based on a generic quantum gravity formulation of a black hole spacetime, where the bulk…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Parthasarathi Majumdar

If simple entropy in the Bekenstein-Hawking area law for a Schwarzschild black hole is replaced with 'negative' quantum conditional entropy, which quantifies quantum entanglement, of positive-energy particles of the black hole relative to…

High Energy Physics - Theory · Physics 2025-04-04 Koji Azuma , Go Kato

From black hole thermodynamics, the Bekenstein bound has been proposed as a universal thermal entropy bound. It has been further generalized to an entanglement entropy bound which is valid even in a quantum system. In a quantumly entangled…

High Energy Physics - Theory · Physics 2016-04-20 Chanyong Park

It has been conjectured that black hole interacting with its surroundings will obey the Generalized Second Law ($GSL$) of thermodynamics. Conservation of $GSL$ is due to the fully thermal nature of Hawking radiation and an upper bound on…

General Relativity and Quantum Cosmology · Physics 2008-06-16 P. I. Kuriakose , V. C. Kuriakose

Jacob Bekenstein's identification of black hole event horizon area with entropy proved to be a landmark in theoretical physics. In this paper we trace the subsequent development of the resulting generalized second law of thermodynamics…

Astrophysics · Physics 2014-10-13 P. C. W. Davies , Tamara M. Davis

We conjecture a universal upper bound to the entropy of a rotating system. The entropy bound follows from application of the generalized second law of thermodynamics to an idealized gedanken experiment in which an entropy-bearing rotating…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Shahar Hod

We propose a quantum version of a gedanken experiment which supports the generalized second law of black hole thermodynamics. A quantum measurement of particles in the region outside of the event horizon decreases the entropy of the outside…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Hosoya , A. Carlini , T. Shimomura

In general yes, but also not quite. It is known that if the Bekenstein-Hawking entropy is replaced by some kind of generalized entropy, then the Bekenstein bound may be grossly violated. In this work, we show that this undesired violation…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Hengxin Lu , Yen Chin Ong

We derive an approximate expression for the entropy of Hawking radiation filling a spherical box in stable thermodynamic equilibrium with the Schwarzschild black hole that produced the said radiation. The Bekenstein entropy bound is…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Diego Pavón

Although the entropy of black holes in any diffeomorphism invariant theory of gravity can be expressed as the Wald entropy, the issue of whether the entropy always obeys the second law of black hole thermodynamics remains open. Since the…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Xin-Yang Wang , Jie Jiang

We study the validity of Bekenstein's entropy bound for a charged black hole in the context of nonlinear electrodynamics. Bekenstein's inequalities are commonly understood as universal relations between the entropy, the charge, the…

General Relativity and Quantum Cosmology · Physics 2021-04-30 F. T. Falciano , M. L. Peñafiel , J. C. Fabris
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