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We discuss the statistical-mechanical entropy of black hole calculated according to 't Hooft. It is argued that in presence of horizon the statistical mechanics of quantum fields depends on their UV behavior. The ``brick wall'' model was…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Solodukhin

The laws of mechanics of stationary black holes bear a close resemblance with the laws of thermodynamics. This is not only a mathematical analogy but also a physical one that helps us answer deep questions related to the thermodynamic…

General Relativity and Quantum Cosmology · Physics 2010-07-26 Diptarka Das

In this document, we aim to gather various results related to a compositional/categorical approach to rigorous Statistical Mechanics. Rigorous Statistical Mechanics is centered on the mathematical study of statistical systems. Central…

Mathematical Physics · Physics 2024-03-26 Grégoire Sergeant-Perthuis

Classical black holes are defined by the property that things can go in, but don't come out. However, Stephen Hawking calculated that black holes actually radiate quantum mechanical particles. The two important ingredients that result in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jennie Traschen

The explanation of black hole entropy as statistical entropy is one of the big successes of string theory. In this article we review recent progress in this subject, focussing on understanding quantum effects on black hole entropy.…

High Energy Physics - Theory · Physics 2025-02-24 Davide Cassani , Sameer Murthy

The Causal Set hypothesis asserts that spacetime, ultimately, is discrete and its underlying structure is that of a locally finite partial ordered set, and macroscopic causality reflects a deeper notion of order in terms of which all the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Dou

On a manifold with boundary, the constraint algebra of general relativity may acquire a central extension, which can be computed using covariant phase space techniques. When the boundary is a (local) Killing horizon, a natural set of…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

We compute the entropy of the Hawking radiation for an evaporating black hole, in 1+1 dimensions and in 3+1 dimensions. We investigate the validity of the semiclassical approximation for the evaporation process. It appears that there might…

High Energy Physics - Theory · Physics 2008-02-03 Samir D. Mathur

This paper presents the first numerical study of black hole thermodynamics in Causal Set Theory, focusing on the entropy of a Schwarzschild black hole as embodied in the distribution of proposed horizon molecules. To simulate causal sets we…

General Relativity and Quantum Cosmology · Physics 2024-05-02 Vid Homšak , Stefano Veroni

Modes of physical fields which are located inside a horizon and which cannot be observed by a distant observer are identified with dynamical degrees of freedom of a black hole. A new invariant statistical mechanical definition of a…

General Relativity and Quantum Cosmology · Physics 2021-01-05 Valery Frolov , Igor Novikov

The quantum tunneling processes related to the black hole determine the black hole thermodynamics. The Hawking temperature is determined by the quantum tunneling processes of radiation of particles from the black hole. On the other hand,…

General Physics · Physics 2024-12-17 G. E. Volovik

In the standard paradigm, astrophysical black holes can be described solely by their mass and angular momentum - commonly referred to as `spin' - resulting from the process of their birth and subsequent growth via accretion. Whilst the mass…

High Energy Astrophysical Phenomena · Physics 2017-12-19 Matthew Middleton

The horizon is a classical concept that arises in general relativity, and is therefore not clearly defined when the source cannot be reliably described by classical physics. To any (sufficiently) localised quantum mechanical wave-function,…

General Relativity and Quantum Cosmology · Physics 2013-05-15 R. Casadio

A density matrix formulation of classical bipartite correlations is constructed. This leads to an understanding of the appearance of classical statistical correlations intertwined with the quantum correlations as well as a physical…

Quantum Physics · Physics 2009-11-11 A. K. Rajagopal , R. W. Rendell

In loop quantum gravity, a spherical black hole can be described in terms of a Chern-Simons theory on a punctured 2-sphere. The sphere represents the horizon. The punctures are the edges of spin-networks in the bulk which cross the horizon…

General Relativity and Quantum Cosmology · Physics 2016-07-11 Jibril Ben Achour , Karim Noui , Alejandro Perez

The issues of holography and possible links with gauge theories in spacetime physics is discussed, in an approach quite distinct from the more restricted AdS-CFT correspondence. A particular notion of holography in the context of black hole…

General Relativity and Quantum Cosmology · Physics 2009-08-20 Parthasarathi Majumdar

We study the excitations of a massive Schwarzschild black hole of mass M resulting from the capture of infalling matter described by a massless scalar field. The near-horizon dynamics of this system is governed by a Hamiltonian which is…

High Energy Physics - Theory · Physics 2008-11-26 Kumar S. Gupta , Siddhartha Sen

First, the relation between black holes and limitations on information of other systems is developed. After reviewing the relation of entropy to information, we derive the entropy bound, review its applications to cosmology and its…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

We study the system formed by a gaz of black holes and strings within a microcanonical formulation. We derive the microcanonical content of the system: entropy, equation of state, number of components N, temperature T and specific heat. The…

High Energy Physics - Theory · Physics 2008-11-26 D. J. Cirilo-Lombardo , N. G. Sanchez

We construct and count the microstates of out-of-equilibrium eternal AdS black holes in which a shell carrying an order one fraction of the black hole mass is emitted from the past horizon and re-absorbed at the future horizon. Our…

High Energy Physics - Theory · Physics 2025-09-19 Vijay Balasubramanian , Ben Craps , Juan Hernandez , Mikhail Khramtsov , Maria Knysh
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