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We derive a universal upper bound to the entropy of a charged system. The entropy bound follows from application of the generalized second law of thermodynamics to a gedanken experiment in which an entropy-bearing charged system falls into…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shahar Hod

Taking into consideration of a fractal structure for the black hole horizon, Barrow argued that the area law of entropy get modified due to quantum-gravitational effects. Accordingly, the corrected entropy takes the form $S\sim…

General Relativity and Quantum Cosmology · Physics 2023-09-28 Amin Salehi

We formulate Barrow holographic dark energy, by applying the usual holographic principle at a cosmological framework, but using the Barrow entropy instead of the standard Bekenstein-Hawking one. The former is an extended black-hole entropy…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Emmanuel N. Saridakis

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

If one surrounds a black hole with a perfectly reflecting shell and adiabatically squeezes the shell inward, one can increase the black hole area A to exceed four times the total entropy S, which stays fixed during the process. A can be…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Don N. Page

Recently, we derived an improved universal upper bound to the entropy of a charged system $S \leq \pi (2E b-q^2)/ \hbar$. There was, however, some uncertainty in the value of the numerical factor which multiplies the $q^2$ term. In this…

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

We semi-classically calculate the entropy of a scalar field in the background of the BTZ black hole, and derive the perimeter law of the entropy. The proper length from the horizon to the ultraviolet cutoff is independent of both the mass…

High Energy Physics - Theory · Physics 2009-10-30 Sung-Won Kim , Won T. Kim , Young-Jai Park , Hyeonjoon Shin

In this paper, starting from the modified Einstein field equations, we derive the modified scalar spectral index $n_{s}$ and the modified tensor-to-scalar ratio $r$ in Barrow entropy model, calculate their values for the power-law,…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Qihong Huang , Li-Yang Chen , He Huang , Bing Xu , Kaituo Zhang

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

Recently Bekenstein and Mayo conjectured an entropy bound for charged rotating objects. On the basis of the No-Hair principle for black holes, they speculate that this bound cannot be improved generically based on knowledge of other…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Avraham E. Mayo

We discuss and compare different definitions of the entropy of a black hole. In particular we show that the thermodynamical entropy defined by the response of the free energy of a black hole to the change of temperature does not coincide…

High Energy Physics - Theory · Physics 2008-02-03 V. Frolov

We derive again the upper entropy bound for a charged object by employing thermodynamics of the Kerr-Newman black hole linearised with respect to its electric charge

General Relativity and Quantum Cosmology · Physics 2015-06-25 B. Linet

We investigate the generation of baryon asymmetry from the corrections brought about in the Friedman equations due to Barrow entropy. In particular, by applying the gravity-thermodynamics conjecture one obtains extra terms in the Friedmann…

General Relativity and Quantum Cosmology · Physics 2022-06-28 Giuseppe Gaetano Luciano , Emmanuel N. Saridakis

Nonextreme black hole in a cavity within the framework of the canonical or grand canonical ensemble can approach the extreme limit with a finite temperature measured on a boundary located at a finite proper distance from the horizon. In…

General Relativity and Quantum Cosmology · Physics 2009-10-30 O. B. Zaslavskii

We propose new bounds on black hole entropy in terms of the specific heat at fixed charges. For special spherically-symmetric and static black holes ($g_{tt} g_{rr}=-1$), we prove the bounds with suitable sufficient energy conditions. For…

General Relativity and Quantum Cosmology · Physics 2025-07-25 Kai-Peng Lu , H. Lu

In the Letter [1] (also [2]) there is a claim that the generalised second law of thermodynamics (entropy increase) for black holes provides some limits on the rate of variation of the fundamental constants of nature (electric charge e,…

General Relativity and Quantum Cosmology · Physics 2009-02-27 V. V. Flambaum

We call a state ``vacuum bounded'' if every measurement performed outside a specified interior region gives the same result as in the vacuum. We compute the maximum entropy of a vacuum-bounded state with a given energy for a one-dimensional…

High Energy Physics - Theory · Physics 2007-05-23 Ken D. Olum

Taking into account a fractal structure for the black hole horizon, Barrow argued that the area law of entropy is modified due to quantum-gravitational effects (Barrow in Phys Lett B 808:135643,…

General Relativity and Quantum Cosmology · Physics 2022-05-20 Mahnaz Asghari , Ahmad Sheykhi

Higher dimensional Gauss-Bonnet gravity can be particularized to a four dimensional case either using the Glavan, D. and Lin, C. type \cite{glavan2020einstein} limiting method or by the Hordenski type \cite{gurses2007gauss} metric…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Ritabrata Biswas , Satyajit Pal

Entropy of the Kerr-Newman black hole is calculated via the brick wall method with maintaining careful attention to the contribution of superradiant scalar modes. It turns out that the nonsuperradinat and superradiant modes simultaneously…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Jeongwon Ho , Won Tae Kim , Young-Jai Park , Hyeonjoon Shin