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In Einstein's gravity, the entropy of horizons is proportional to their area. Several arguments given in the literature suggest that, in this context, both area and entropy should be quantized with an equally spaced spectrum for large…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Dawood Kothawala , T. Padmanabhan , Sudipta Sarkar

A simple argument is presented in favour of the equidistant spectrum in semiclassical limit for the horizon area of a black hole. The following quantization rules for the mass $M_N$ and horizon area $A_{Nj}$ are proposed: M_N = m_p…

General Relativity and Quantum Cosmology · Physics 2014-11-17 I. B. Khriplovich

With the new physical interpretation of quasinormal modes proposed by Maggiore, the quantum area spectra of black holes have been investigated recently. Adopting the modified Hod's treatment, results show that the area spectra for black…

High Energy Physics - Theory · Physics 2014-11-20 Shao-Wen Wei , Yu-Xiao Liu , Ke Yang , Yuan Zhong

The ground state density matrix for a massless free field is traced over the degrees of freedom residing inside an imaginary sphere; the resulting entropy is shown to be proportional to the area (and not the volume) of the sphere. Possible…

High Energy Physics - Theory · Physics 2009-10-22 Mark Srednicki

We investigate highly damped quasinormal modes of regular black hole coupled to nonlinear electrodynamics. Using the WKB approximation combined with complex-integration technique, we show that the real part of the frequency disappears in…

High Energy Physics - Theory · Physics 2009-11-11 Hidefumi Nomura , Takashi Tamaki

We describe a midi-superspace quantization scheme for generic single horizon black holes in which only the spatial diffeomorphisms are fixed. The remaining Hamiltonian constraint yields an infinite set of decoupled eigenvalue equations: one…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Gegenberg , G. Kunstatter , R. D. Small

Using the analytic extension method, we study Hawking radiation of an $(n + 4)$-dimensional Schwarzschild-de Sitter black hole. Under the condition that the total energy is conserved, taking the reaction of the radiation of particles to the…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Zhao Ren Zhao , Huai Fan Li , Li-Chun Zhang , Yue-qin Wu

We consider the area of spheres centered at the distinguished point in the Brownian plane. As a function of the radius, the resulting process has continuously differentiable sample paths. Furthermore, the pair consisting of the process and…

Probability · Mathematics 2025-07-09 Jean-François Le Gall

We briefly comment on the quantum area spectra of black holes, paying particular attention to the size of the spacing between adjacent spectral levels. It has previously been conjectured that this spacing is uniform with a universal value…

General Relativity and Quantum Cosmology · Physics 2010-05-18 A. J. M. Medved

An equidistant spectrum of the horizon area of a quantized black hole does not follow from the correspondence principle or from general statistical arguments. Such a spectrum obtained earlier in loop quantum gravity (LQG) does not comply…

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

We discuss the Swampland Distance Conjecture in the framework of black hole thermodynamics. In particular, we consider black holes in de Sitter space and we show that the Swampland Distance Conjecture is a consequence of the fact that…

High Energy Physics - Theory · Physics 2020-02-19 A. Kehagias , A. Riotto

We discuss the possibility that quantum black holes have discrete mass spectrum. Different arguments leading to this conclusion are considered, particularly the decoupling between left and right sectors in string theory - the so-called…

High Energy Physics - Theory · Physics 2007-05-23 Ian I. Kogan

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

In this note we show that in a two-dimensional non-commutative space the area operator is quantized, this outcome is compared with the result obtained by Loop Quantum Gravity methods.

High Energy Physics - Theory · Physics 2009-11-10 Juan M. Romero , J. A. Santiago , J. David Vergara

The recent proposal of Maggiore that the periodicity of a black hole may be the origin of area quantization law is analyzed in the context of three dimensional black holes. We use the period of motion of an outgoing wave which is shown to…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Alexis Larranaga

We consider the quasinormal spectrum of a charged scalar field in the (charged) Reissner-Nordstrom spacetime, which has two horizons. The spectrum is characterized by two distinct families of asymptotic resonances. We suggest and…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Shahar Hod

The black hole area spectrum has been studied in the framework of tunneling mechanism, where a Generalized Uncertainty Principle (GUP) has been considered. The results implies in a non evenly spaced spectrum for the black hole area which…

General Physics · Physics 2011-09-21 C. A. S. Silva , R. R. Landim

Recently, some authors have considered the quantum spectrum of black holes . This consideration is extended to tachyonic black holes in a brane-anti-brane system. In this study, black holes are constructed from two branes which are…

High Energy Physics - Theory · Physics 2020-06-04 Aroonkumar Beesham

We study the quantization of spherically symmetric vacuum spacetimes within loop quantum gravity. In particular, we give additional details about our previous work in which we showed that one could complete the quantization the model and…

General Relativity and Quantum Cosmology · Physics 2016-12-20 Rodolfo Gambini , Javier Olmedo , Jorge Pullin

The role of horizon area quantization on black hole thermodynamics is investigated in this article. The coefficient appearing in the quantization of area is fixed by an appeal to the saturated form of the Landauer's principle. Then by…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Arpita Jana , Manjari Dutta , Sunandan Gangopadhyay
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