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Using non-extensive statistical mechanics, the Bekenstein-Hawking area law is obtained from microstates of black holes in loop quantum gravity, for arbitrary real positive values of the Barbero-Immirzi parameter$(\gamma)$. The arbitrariness…

General Relativity and Quantum Cosmology · Physics 2017-10-31 Abhishek Majhi

Black hole entropy is identified with the counting of the dynamical degrees of freedom of trapped gravitational modes continually sourced by the Hawking-Unruh process. In the context of linear perturbations of Schwarzschild spacetime the…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Seth Major , Daniel Rodriguez , Thomas Takis

The issue of black hole entropy is reexamined within a finite lattice framework along the lines of Wheeler, 't Hooft and Susskind, with an additional criterion to identify physical horizon states contributing to the entropy. As a…

High Energy Physics - Theory · Physics 2007-05-23 Parthasarathi Majumdar

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

In the context of loop quantum gravity, we construct the phase-space of isolated horizons with genus greater than 0. Within the loop quantum gravity framework, these horizons are described by genus g surfaces with N punctures and the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Kloster , J. Brannlund , A. DeBenedictis

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

In the Loop Quantum Gravity, black holes (or even more general Isolated Horizons) are described by a SU(2) Chern-Simons theory. There is an equivalent formulation of the horizon degrees of freedom in terms of a U(1) gauge theory which is…

General Relativity and Quantum Cosmology · Physics 2012-02-09 Romesh K. Kaul

A proper counting of states for black holes in the quantum geometry approach shows that the dominant configuration for spins are distributions that include spins exceeding one-half at the punctures. This raises the value of the Immirzi…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. Ghosh , P. Mitra

In loop quantum gravity, the number $N_\Gamma(A,\gamma)$ of microstates of a black hole for a given discrete geometry $\Gamma$ depends on the so-called Barbero-Immirzi parameter $\gamma$. Using a suitable analytic continuation of $\gamma$…

General Relativity and Quantum Cosmology · Physics 2014-07-08 Ernesto Frodden , Marc Geiller , Karim Noui , Alejandro Perez

We analyze the relationship between entanglement (or geometric) entropy with statistical mechanical entropy of horizon degrees of freedom when described in the framework of isolated horizons in loop quantum gravity. We show that, once the…

General Relativity and Quantum Cosmology · Physics 2014-10-15 Alejandro Perez

We are interested in black holes in Loop Quantum Gravity (LQG). We study the simple model of static black holes: the horizon is made of a given number of identical elementary surfaces and these small surfaces all behaves as a spin-s system…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Etera R. Livine , Daniel R. Terno

One quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the…

High Energy Physics - Theory · Physics 2025-01-29 Yuki Yokokura

Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS$_3$ (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS$_3$ is a conformal field theory, we…

High Energy Physics - Theory · Physics 2009-10-30 Andrew Strominger

We model spherically symmetric black holes within the group field theory formalism for quantum gravity via generalised condensate states, involving sums over arbitrarily refined graphs (dual to 3d triangulations). The construction relies…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Daniele Oriti , Daniele Pranzetti , Lorenzo Sindoni

We argue that the entropy of a black hole is due to the entanglement of matter fields and gravitons across the horizon. While the entanglement entropy of the vacuum is divergent because of UV correlations, we show that low-energy…

General Relativity and Quantum Cosmology · Physics 2013-01-08 Eugenio Bianchi

The results of canonical quantum gravity concerning geometric operators and black hole entropy are beset by an ambiguity labelled by the Immirzi parameter. We use a result from classical gravity concerning the quasinormal mode spectrum of a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Olaf Dreyer

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 as well,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Carlip

It is shown that that the area law for the entropy of a quantum field in the Schwarzschild black hole is due to the quantum statistics. The entropies for one particle, a Boltzmann gas, a quantum mechanical gas obeying Bose-Einstein or…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hyeong-Chan Kim , Min-Ho Lee , Jeong-Young Ji

It is argued that the quantum of area between consecutive, high overtones quasinormal modes of a black hole horizon coincides with the area gap predicted by Loop Quantum Gravity, as long as the horizon is isolated and the Barbero-Immirzi…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Saulo Carneiro , Cássio Pigozzo

The geometric operators of area, volume, and length, depend on a fundamental length l of quantum geometry which is a priori arbitrary rather than equal to the Planck length l_P. The fundamental length l and the Immirzi parameter $\gamma$…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Rainer