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We propose a rigorous derivation of the Bekenstein upper limit for the entropy/information that can be contained by a physical system in a given finite region of space with given finite energy. The starting point is the observation that the…

Mathematical Physics · Physics 2018-05-09 Roberto Longo , Feng Xu

It has been proposed that the entropy of any object must satisfy fundamental (holographic or Bekenstein) bounds set by the object's size and perhaps its energy. However, most discussions of these bounds have ignored the possibility that…

High Energy Physics - Theory · Physics 2009-11-10 Donald Marolf , Rafael Sorkin

Bekenstein's conjectured entropy bound for a system of linear size R and energy E, S < 2 pi E R, can be violated by an arbitrarily large factor, among other ways, by a scalar field having a symmetric potential allowing domain walls, and by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Don N. Page

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

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

After reviewing the relation of entropy to information, I derive the entropy bound as applied to bounded weakly gravitating systems, and review the bound's applications to cosmology as well as its extensions to higher dimensions. I then…

Quantum Physics · Physics 2014-11-18 Jacob D. Bekenstein

We consider unitary and weakly coupled theories of gravity that extend Einstein gravity and reduce to it asymptotically at large distances. Our discussion is restricted to such theories that, similarly to Einstein gravity, contain black…

High Energy Physics - Theory · Physics 2014-11-20 Ram Brustein , A. J. M. Medved

We analyse particle species and the species scale in quantum gravity from a thermodynamic perspective. In close analogy to black hole thermodynamics, we propose that particle species own an entropy and a temperature, which is determined by…

High Energy Physics - Theory · Physics 2023-10-12 Niccolò Cribiori , Dieter Lust , Carmine Montella

The Bekenstein-Hawking equation states that black holes should have entropy proportional to their areas to make black hole physics compatible with the second law of thermodynamics. However, this equation leads to an inconsistency among the…

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

Entropy plays a crucial role in characterization of information and entanglement, but it is not a scalar quantity and for many systems it is different for different relativistic observers. Loop quantum gravity predicts the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Daniel R. Terno

The Bekenstein bound posits a maximum entropy for matter with finite energy confined to a spatial region. It is often interpreted as a fundamental limit on the information that can be stored by physical objects. In this work, we test this…

High Energy Physics - Theory · Physics 2025-03-25 Patrick Hayden , Jinzhao Wang

The issue of black hole entropy is reexamined within a finite lattice framework along the lines of Wheeler, 't Hooft and Susskind, with an additional criterion to identify physical horizon states contributing to the entropy. As a…

High Energy Physics - Theory · Physics 2007-05-23 Parthasarathi Majumdar

It is usually stated that the information storing region associated with the Bekenstein-Hawking entropy is enclosed by a sphere of diameter equal twice the Schwarzschild radius. We point out that this cannot apply to a quantum black hole.…

High Energy Physics - Theory · Physics 2024-01-26 Abram Akal

We give several pieces of evidence to show that extremal black holes cannot be obtained as limits of non-extremal black holes. We review arguments in the literature showing that the entropy of extremal black holes is zero, while that of…

High Energy Physics - Theory · Physics 2008-11-26 Saurya Das , Arundhati Dasgupta , P. Ramadevi

The black hole information paradox forces us into a strange situation: we must find a way to break the semiclassical approximation in a domain where no quantum gravity effects would normally be expected. Traditional quantizations of gravity…

High Energy Physics - Theory · Physics 2015-06-05 Samir D. Mathur

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 discuss whether black hole entropy counts short or long range microstates in quantum gravity. In brick wall and induced gravity models the entropy arises due to short distance correlations across the event horizon cut off at the Planck…

High Energy Physics - Theory · Physics 2022-12-07 Erik P. Verlinde , Manus R. Visser

The Hawking radiation emits all species of particles, but the Bekenstein-Hawking entropy is independent of the number of the species of particles. This is the so-called species problem --- a puzzling problem for a long time. In this paper,…

General Relativity and Quantum Cosmology · Physics 2018-08-16 Yu-Zhu Chen , Wen-Du Li , Wu-Sheng Dai

Without imposing the trapping boundary conditions and only from within the very definition of area it is shown that the loop quantization of area manifests an unexpected degeneracy in area eigenvalues. This could lead to a deeper…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mohammad H. Ansari

Motivated by the doubly special relativity theories and noncommutative spacetime structures, thermodynamical properties of the photon gas in a phase space with compact spatial momentum space is studied. At the high temperature limit, the…

High Energy Physics - Theory · Physics 2016-07-12 K. Nozari , M. A. Gorji , A. Damavandi Kamali , B. Vakili
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