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It is known that the entanglement entropy of a scalar field, found by tracing over its degrees of freedom inside a sphere of radius ${\cal R}$, is proportional to the area of the sphere (and not its volume). This suggests that the origin of…

High Energy Physics - Theory · Physics 2008-11-26 Morteza Ahmadi , Saurya Das , S. Shankaranarayanan

We focus on the entropy relations of black holes in three, four and higher dimensions. These entropy relations include entropy product, "part" entropy product and entropy sum. We also discuss their differences and similarities, in order to…

General Relativity and Quantum Cosmology · Physics 2014-07-23 Xin-he Meng , Wei Xu , Jia Wang

The trace over the degrees of freedom located in a subset of the space transforms the vacuum state into a density matrix with non zero entropy. This geometric entropy is believed to be deeply related to the entropy of black holes. Indeed,…

High Energy Physics - Theory · Physics 2014-11-18 H. Casini

The Boltzmann-Gibbs-von Neumann entropy of a large part (of linear size L) of some (much larger) d-dimensional quantum systems follows the so-called area law (as for black holes), i.e., it is proportional to $L^{d-1}$. Here we show, for…

Statistical Mechanics · Physics 2008-07-10 Filippo Caruso , Constantino Tsallis

This survey intends to cover recent approaches to black hole entropy which attempt to go beyond the standard semiclassical perspective. Quantum corrections to the semiclassical Bekenstein-Hawking area law for black hole entropy, obtained…

High Energy Physics - Theory · Physics 2009-10-31 Parthasarathi Majumdar

Black hole entropy and its relation to the horizon area are considered. More precisely, the conditions and specifications that are expected to be required for the assignment of entropy, and the consequences that these expectations have when…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Alejandro Corichi , Daniel Sudarsky

Using the quasilocal properties alone we show that the area spectrum of a black hole horizon must be discrete, independent of any specific quantum theory of gravity. The area spectrum is found to be half-integer spaced with values $8\pi…

General Relativity and Quantum Cosmology · Physics 2020-07-31 Ayan Chatterjee , Amit Ghosh

A deeper understanding of the thermal properties of black holes than we presently have depends to a large degree on obtaining a firmer grasp of the properties of the entropy. For such an understanding we must at least know the basic…

General Relativity and Quantum Cosmology · Physics 2012-08-27 James. W. York,

Black holes with hair represented by generic fields surrounding the central source of the vacuum Schwarzschild metric are examined under the minimal set of requirements consisting of i) the existence of a well defined event horizon and ii)…

General Relativity and Quantum Cosmology · Physics 2020-11-17 J. Ovalle , R. Casadio , E. Contreras , A. Sotomayor

In this paper we discuss the entropy of quantum black holes in the LQG formalism when the number of punctures on the horizon is treated as a quantum hair, that is we compute the black hole entropy in the grand canonical (area) ensemble. The…

General Relativity and Quantum Cosmology · Physics 2012-08-30 Kinjalk Lochan , Cenalo Vaz

We take the view that the area of a black hole's event horizon is quantized, $A = l_P^2 \, (4 \ln 2) \, N$, and the associated degrees of freedom are finite in number and of fermionic nature. We then investigate general aspects of the…

General Physics · Physics 2022-10-26 Paolo Castorina , Alfredo Iorio , Luca Smaldone

The basic assumption of the induced gravity approach is that Einstein theory is an effective, low energy-form of a quantum theory of constituents. In this approach the Bekenstein-Hawking entropy S^{BH} of a black hole can be interpreted as…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. V. Fursaev

Area laws were first discovered by Bekenstein and Hawking, who found that the entropy of a black hole grows proportional to its surface area, and not its volume. Entropy area laws have since become a fundamental part of modern physics, from…

Other Condensed Matter · Physics 2017-06-15 C. M. Herdman , P. -N. Roy , R. G. Melko , A. Del Maestro

In this work some proposals for black hole entropy interpretation are exposed and investigated. In particular I will firstly consider the so called ``entanglement entropy" interpretation, in the framework of the brick wall model, and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Liberati

We find the entropy of Kehagias-Sfetsos black hole in the deformed Ho\v{r}ava-Lifshitz gravity by using the first law of thermodynamics. When applying generalized uncertainty principle (GUP) to Schwarzschild black hole, the entropy…

High Energy Physics - Theory · Physics 2010-02-01 Yun Soo Myung

Most calculations of black hole entropy in loop quantum gravity indicate a term proportional to the area eigenvalue A with a correction involving the logarithm of A. This violates the additivity of the entropy. An entropy proportional to A,…

General Relativity and Quantum Cosmology · Physics 2015-07-28 A. Ghosh , P. Mitra

After recalling the definition of black holes, and reviewing their energetics and their classical thermodynamics, one expounds the conjecture of Bekenstein, attributing an entropy to black holes, and the calculation by Hawking of the…

High Energy Physics - Theory · Physics 2015-06-26 Thibault Damour

If two particles collide in the vicinity of a black hole horizon, their center of mass energy is practically unlimited, so another black hole with a large mass and thus entropy can be created. The resulting black hole can then merge with…

General Relativity and Quantum Cosmology · Physics 2025-03-05 De-Chang Dai

The entropy S of any mass M can be interpreted as a linear relation with mass, S of order kM/mg an extensive property with mg the mass of the quantum of gravity. One can extend this relation to black holes and then we get a different…

Astrophysics · Physics 2007-05-23 Antonio Alfonso-Faus

We consider a model of a black hole consisting of a number of elementary components. Examples of such models occur in the Ashtekar's approach to canonical Quantum Gravity and in M-theory. We show that treating the elementary components as…

High Energy Physics - Theory · Physics 2008-11-26 A. Alekseev , A. P. Polychronakos , M. Smedbäck
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