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We estimate the canonical entropy of a quantum black hole by counting its quasi-normal modes. We first show that the partition function of a classical black hole, evaluated by counting the quasi-normal modes with a thermodyanmic Boltzmann…

High Energy Physics - Theory · Physics 2023-05-03 Naritaka Oshita , Niayesh Afshordi

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories, I show…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip

We study the entropy of the black hole with torsion using the covariant form of the partition function. The regularization of infinities appearing in the semiclassical calculation is shown to be consistent with the grand canonical boundary…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Blagojevic , B. Cvetkovic

We argue that a unitary description of the formation and evaporation of a black hole implies that the Bekenstein-Hawking entropy is the "entropy of a vacuum": the logarithm of the number of possible independent ways in which quantum field…

High Energy Physics - Theory · Physics 2014-11-11 Yasunori Nomura , Sean J. Weinberg

The holographic state of matter exists in the quantum gravitational regime, with black holes as the example. In this essay, we provide a microscopic derivation to the holographic thermodynamics and further discuss its implications for…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Yong Xiao

Treating macro-black hole as quantum states, and using Brown-York quaselocal gravitational energy definition and Heisenberg uncertainty principle, we find out the classical horizon with singularity spreads into a quantum horizon in which…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hua Bai , Mu-Lin Yan

This is an introductory, up-to-date review of the essentials of black hole thermodynamics. The main topics surveyed are: (i) the four laws of thermodynamics as applied to a black hole horizon, and the current status of their proofs; (ii)…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Aron C. Wall

It has been shown that entropy differences between certain states of perturbative quantum gravity can be computed without specifying an ultraviolet completion. This is analogous to the situation in classical statistical mechanics, where…

High Energy Physics - Theory · Physics 2024-04-26 Chris Akers , Jonathan Sorce

The finiteness of black hole entropy suggest that spacetime is fundamentally discrete, and hints at an underlying relationship between geometry and "information". The foundation of this relationship is yet to be uncovered, but should…

General Relativity and Quantum Cosmology · Physics 2008-10-14 D. Rideout , S. Zohren

In recent work on black hole entropy in non-perturbative quantum gravity, an action for the black hole sector of the phase space is introduced and (partially) quantized. We give a number of observations on this and related works. In…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Viqar Husain

We review black hole entropy with special reference to euclidean quantum gravity, the brick wall approach and loop quantum gravity.

High Energy Physics - Theory · Physics 2009-03-09 P. Mitra

We point out that with a specific counting of states loop quantum gravity implies that black holes perform a phase transition at a certain characteristic temperature $T_C$. In this phase transition the punctures of the spin network on the…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Jarmo Mäkelä

In this paper we shall consistently third quantize modified gravity. Then we shall analyse certain aspects of virtual black holes in this third quantized modified gravity. We will see how a statistical mechanical origin for the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Mir Faizal

We argue that the highly studied black hole signatures based on thermal multiparticle final states are very unlikely and only occur in a very limited parameter regime if at all. However, we show that if the higher-dimensional quantum…

High Energy Physics - Phenomenology · Physics 2009-09-15 Patrick Meade , Lisa Randall

The Horizon Quantum Mechanics is an approach that was previously introduced in order to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. In this work,…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Roberto Casadio , Andrea Giugno , Andrea Giusti , Octavian Micu

Some approaches to quantization of the horizon area of black holes are discussed. The maximum entropy of a quantized surface is demonstrated to be proportional to the surface area in the classical limit. This result is valid for a rather…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. B. Khriplovich

By analysing the infinite dimensional midisuperspace of spherically symmetric dust universes, and aply it to collapsing dust stars, one finds that the general quantum state is a bound state. This leads to discrete spectrum. In the case of a…

High Energy Physics - Theory · Physics 2007-05-23 Yoav Peleg

We focus on quantization of the metric of a black hole restricted to the Killing horizon with universal radius $r_0$. After imposing spherical symmetry and after restriction to the Killing horizon, the metric is quantized employing the…

General Relativity and Quantum Cosmology · Physics 2011-04-07 V. Moretti , N. Pinamonti

Earlier calculations of black hole entropy in loop quantum gravity have given a term proportional to the area with a correction involving the logarithm of the area when the area eigenvalue is close to the classical area. However the…

General Relativity and Quantum Cosmology · Physics 2014-06-25 P. Mitra

I review some recent work in which the quantum states of string theory which are associated with certain black holes have been identified and counted. For large black holes, the number of states turns out to be precisely the exponential of…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Gary Horowitz
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