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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

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 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 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

Without pretending to any rigour, we find a general expression of the electrostatic self-energy in static black holes with spherical symmetry. We determine the entropy bound of a charged object by assuming the existence of thermodynamics…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Linet

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

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

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

It was shown in a previous work that, for systems in which the entropy is an extensive function of the energy and volume, the Bekenstein and the holographic entropy bounds predict new results. In this paper, we go further and derive…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilad Gour

The universal bound on specific entropy was originally inferred from black hole thermodynamics. We here show from classical thermodynamics alone that for a system at fixed volume or fixed pressure, the ratio of entropy to nonrelativistic…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Jacob D. Bekenstein

We obtain the electrostatic energy of two opposite charges near the horizon of stationary black-holes in the massive Schwinger model. Besides the confining aspects of the model, we discuss the Bekenstein entropy upper bound of a charged…

General Relativity and Quantum Cosmology · Physics 2015-06-25 H. Mohseni Sadjadi , M. Alimohammadi

Zaslavskii has suggested how to tighten Bekenstein's bound on entropy when the object is electrically charged. Recently Hod has provided a second tighter version of the bound applicable when the object is rotating. Here we derive…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jacob D. Bekenstein , Avraham E. Mayo

It is shown that, for systems in which the entropy is an extensive function of the energy and volume, the Bekenstein and the holographic entropy bounds predict new results. More explicitly, the Bekenstein entropy bound leads to the entropy…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gilad Gour

In a gedanken experiment in which a box initially containing energy $E$ and entropy $S$ is lowered toward a black hole and then dropped in, it was shown by Unruh and Wald that the generalized second law of black hole thermodynamics holds,…

General Relativity and Quantum Cosmology · Physics 2016-08-25 M. A. Pelath , Robert M. Wald

Bekenstein's inequality sets a bound on the entropy of a charged macroscopic body. Such a bound is understood as a universal relation between physical quantities and fundamental constants of nature that should be valid for any physical…

General Relativity and Quantum Cosmology · Physics 2019-12-18 F. T. Falciano , M. L. Peñafiel , Santiago Esteban Perez Bergliaffa

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

It is shown that the classical entropy of the extremal black hole depends on two different limits procedures. If we first take the extremal limit and then the boundary limit, the entropy is zero; if we do it the other way round, we get the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ru-Keng Su , Bin Wang , P. K. N. Yu , E. C. M. Young

Entropy bounds in black hole physics, based on a wide variety of different approaches, have had a long and distinguished history. Recently the current authors have turned attention to uncollapsed systems and obtained a robust entropy bound…

General Relativity and Quantum Cosmology · Physics 2011-03-18 Gabriel Abreu , Matt Visser

Experimental and theoretical results about entropy limits for macroscopic and single-particle systems are reviewed. It is clarified when it is possible to speak about a quantum of entropy, given by the Boltzmann constant k, and about a…

Quantum Physics · Physics 2023-11-06 Uwe Hohm , Christoph Schiller

We have shown that changes occur in a (2+1)-dimensional charged black hole by adding a charged probe. The particle increases the entropy of the black hole and guarantees the second law of thermodynamics. The first law of thermodynamics is…

General Relativity and Quantum Cosmology · Physics 2017-12-01 Bogeun Gwak , Bum-Hoon Lee
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