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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

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

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

We have investigated quantum entropy of a static black hole arising from the massless scalar field with Lorentz violation induced by the coupling to Einstein tensor. Our results show that the coupled massless scalar field contributes to the…

General Relativity and Quantum Cosmology · Physics 2015-11-16 Songbai Chen , Jiliang Jing , Hao Liao

The entanglement entropy between quantum fields inside and outside a black hole horizon is a promising candidate for the microscopic origin of black hole entropy. We show that the entanglement entropy may be defined in loop quantum gravity,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 William Donnelly

We compute the entanglement entropy of minimally coupled scalar fields on subtracted geometry black hole backgrounds, focusing on the logarithmic corrections. We notice that matching between the entanglement entropy of original black holes…

High Energy Physics - Theory · Physics 2015-06-22 Mirjam Cvetic , Zain H. Saleem , Alejandro Satz

We argue for black hole entropy in loop quantum gravity (LQG) by taking into account the interpretation that there is no other side of the horizon. This gives new values for the Barbero-Immirzi parameter which are fairly larger than those…

High Energy Physics - Theory · Physics 2008-11-26 Takashi Tamaki

By using the 't Hooft "brick wall" model and the Pauli-Villars regularization scheme we calculate the statistical-mechanical entropy arising from the minimally coupled scalar fields which rotate with the azimuthal angular velocity…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jiliang Jing , Mu-Lin Yan

We give a complete and detailed description of the computation of black hole entropy in loop quantum gravity by employing the most recently introduced number-theoretic and combinatorial methods. The use of these techniques allows us to…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Ivan Agullo , J. Fernando Barbero G. , Enrique F. Borja , Jacobo Diaz-Polo , Eduardo J. S. Villaseñor

We propose a derivation for computing black hole entropy for spherical non-rotating isolated horizons from loop quantum gravity in four and higher dimensions. The state counting problem effectively reduces to the well studied…

General Relativity and Quantum Cosmology · Physics 2013-10-28 Norbert Bodendorfer

Several recent results have hinted that black hole thermodynamics in loop quantum gravity simplifies if one chooses an imaginary Barbero-Immirzi parameter $\gamma=i$. This suggests a connection with $\mathrm{SL}(2,\mathbb{C})$ or…

General Relativity and Quantum Cosmology · Physics 2015-08-06 S. Carlip

We consider the possibility that the horizon area is expressed by the general area spectrum in loop quantum gravity and calculate the black hole entropy by counting the degrees of freedom in spin-network states related to its area. Although…

High Energy Physics - Theory · Physics 2014-11-18 Tomo Tanaka , Takashi Tamaki

Microscopic state counting for a black hole in Loop Quantum Gravity yields a result proportional to horizon area, and inversely proportional to Newton's constant and the Immirzi parameter. It is argued here that before this result can be…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Ted Jacobson

We review the black hole entropy calculation in the framework of Loop Quantum Gravity based on the quasi-local definition of a black hole encoded in the isolated horizon formalism. We show, by means of the covariant phase space framework,…

General Relativity and Quantum Cosmology · Physics 2012-09-10 Jacobo Diaz-Polo , Daniele Pranzetti

The quantum corrections to black hole entropy, variously defined, suffer quadratic divergences reminiscent of the ones found in the renormalization of the gravitational coupling constant (Newton constant). We consider the suggestion, due to…

High Energy Physics - Theory · Physics 2009-10-28 Finn Larsen , Frank Wilczek

It has been argued that the entropy which one is computing in the isolated horizon framework of loop quantum gravity is closely related to the entanglement entropy of the gravitational field and that the calculation performed is not…

General Relativity and Quantum Cosmology · Physics 2014-11-25 Norbert Bodendorfer

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

We discuss the entanglement entropy for a massive Klein-Gordon field in two Schwarzschild-like quantum black hole spacetimes, also including a nonminimal coupling term with the background scalar curvature. To compute the entanglement…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Alessio Belfiglio , Orlando Luongo , Stefano Mancini , Sebastiano Tomasi

In a remarkable numerical analysis of the spectrum of states for a spherically symmetric black hole in loop quantum gravity, Corichi, Diaz-Polo and Fernandez-Borja found that the entropy of the black hole horizon increases in what resembles…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hanno Sahlmann

The statistical mechanical calculation of the thermodynamical properties of non-rotating isolated horizons are studied in the loop quantum gravity framework. By employing the Hawking temperature and horizon mass of isolated horizons as…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Shupeng Song , Gaoping Long , Cong Zhang , Xiangdong Zhang