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Polymer quantization is a non-standard representation of the quantum mechanics that inspired by loop quantum gravity. To study the associated statistical mechanics, one needs to find microstates' energies which are eigenvalues of the…

General Relativity and Quantum Cosmology · Physics 2015-06-18 M. A. Gorji , Kourosh Nozari , B. Vakili

We present an overall picture of the advances in the description of black hole physics from the perspective of loop quantum gravity. After an introduction that discusses the main conceptual issues we present some details about the classical…

General Relativity and Quantum Cosmology · Physics 2015-01-14 J. Fernando Barbero G. , Alejandro Perez

In a recent work [arXiv:2307.13489 [gr-qc]], we have described spherically symmetric and static quantum black holes as deformations of the classical Schwarzschild metric that depend on the physical distance to the horizon. We have developed…

General Relativity and Quantum Cosmology · Physics 2024-03-20 Manuel Del Piano , Stefan Hohenegger , Francesco Sannino

We review the arguments that fundamental string states are in one to one correspondence with black hole states. We demonstrate the power of the assumption by showing that it implies that the statistical entropy of a wide class of nonextreme…

High Energy Physics - Theory · Physics 2009-10-07 E. Halyo , B. Kol , A. Rajaraman , L. Susskind

We compute the canonical (brick-wall) entropy of Hawking radiation in a in a quantum black hole model whose strong-field exterior is modeled phenomenologically, to first order in a small quadrupole parameter, by the static q-metric, which…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Shokoufe Faraji , Niayesh Afshordi

The approximate renormalized one-loop effective action of the quantized massive scalar, spinor and vector field in a large mass limit, i.e., the lowest order of the DeWitt-Schwinger expansion involves the coincidence limit of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jerzy Matyjasek

Considering corrections to all orders in the Planck length on the quantum state density from a generalized uncertainty principle (GUP), we calculate the statistical entropy of the scalar field on the background of the Schwarzschild black…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yong-Wan Kim , Young-Jai Park

(This is the unpublished manuscript while parts are corrected and included in version III of arXiv:1602.00964 which is submitted to the journal.) We study the back-reaction of classical Maxwell field and massive scalar field on the BTZ…

High Energy Physics - Theory · Physics 2016-04-12 Wung-Hong Huang

We consider the thermodynamics of minimally coupled massive scalar field in 3+1 dimensional constant curvature black hole background. The brick wall model of 't Hooft is used. When Scharzschild like coordinates are used it is found that…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. Ghosh

Black hole entropy has been shown by 't Hooft to diverge at the horizon, whereas entanglement entropy in general does not. We show that because the region near the horizon is a thermal state, entropy is linear to energy, and energy at a…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Judy Kupferman

Originally proposed by 't Hooft, the brick wall model has recently reemerged as a useful framework for probing quantum aspects of horizon physics, particularly in the context of holography. In this paper, we apply it to asymptotically de…

High Energy Physics - Theory · Physics 2026-04-20 José M. Begines , Suman Das , Hyun-Sik Jeong , Juan F. Pedraza

Black hole entropy has been shown by 't Hooft to diverge at the horizon. The region near the horizon is in a thermal state, so entropy is linear to energy which consequently also diverges. We find a similar divergence for the energy of the…

High Energy Physics - Theory · Physics 2011-06-24 Ram Brustein , Judy Kupferman

We argue that the statistical entropy relevant for the thermal interactions of a black hole with its surroundings is (the logarithm of) the number of quantum microstates of the hole which are distinguishable from the hole's exterior, and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlo Rovelli

We study the quantum scalar fields in background of BTZ black hole spacetime. We calculate the entanglement entropy using the discretized model, which resembles a system of coupled harmonic oscillators. The leading term of the entropy…

High Energy Physics - Theory · Physics 2013-11-12 Dharm Veer Singh , Sanjay Siwach

A quantum Schwarzschild black hole is described, at the mini super spacetime level, by a non-singular wave packet composed of plane wave eigenstates of the momentum Dirac-conjugate to the mass operator. The entropy of the mass spectrum…

General Relativity and Quantum Cosmology · Physics 2014-08-11 Aharon Davidson , Ben Yellin

We calculate the entropies of the system of classical particles and a quantum scalar field by using the brick wall method in thermal bath in a charged Kerr black hole spacetime. Their leading terms at Hartle-Hawking temperature $T_H =…

High Energy Physics - Theory · Physics 2009-10-30 Min-Ho Lee , Jae Kwan Kim

Quantum black holes within the loop quantum gravity (LQG) framework are considered. The number of microscopic states that are consistent with a black hole of a given horizon area $A_0$ are counted and the statistical entropy, as a function…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alejandro Corichi , Jacobo Diaz-Polo , Enrique Fernandez-Borja

Using a new regulator, we examine 't Hooft's approach for evaluating black hole entropy through a statistical-mechanical counting of states for a scalar field propagating outside the event horizon. We find that this calculation yields…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jean-Guy Demers , Rene Lafrance , Robert C. Myers

One of the challenges of today's theoretical physics is to fully understand the connection between a geometrical object like area and a thermostatistical one like entropy, since area behaves analogously like entropy. The Bekenstein bound…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Everton M. C. Abreu , Jorge Ananias Neto

We discuss the quantum corrections to thermodynamics (and geometry) of S(A)dS BHs using large $N$ one-loop anomaly induced effective action for dilaton coupled matter (scalars and spinors). It is found the temperature, mass and entropy with…

High Energy Physics - Theory · Physics 2009-10-31 Shin'ichi Nojiri , Sergei D. Odintsov