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We explore the modification of the entropic formulation of uncertainty principle in quantum mechanics which measures the incompatibility of measurements in terms of Shannon entropy. The deformation in question is the type so called…

High Energy Physics - Theory · Physics 2017-08-28 Li-Yi Hsu , Shoichi Kawamoto , Wen-Yu Wen

It has been shown by explicit and exact calculation that whenever we have taken the \emph{effects of stable thermal fluctuations} the entropy product formula should \emph{not be mass-independent} nor \emph{does it quantized}. It has been…

General Relativity and Quantum Cosmology · Physics 2016-06-28 Parthapratim Pradhan

In this paper, we have applied the Lorentz-invariance-violation (LIV) class of dispersion relations (DR) with the dimensionless parameter n = 2 and the "sign of LIV" {\eta}_+ = 1, to phenomenologically study the effect of quantum gravity in…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Guo-Ping Li , Jin Pu , Qing-Quan Jiang , Xiao-Tao Zu

Along this review, we focus on the study of several properties of modified gravity theories, in particular on black-hole solutions and its comparison with those solutions in General Relativity, and on Friedmann-Lemaitre-Robertson-Walker…

General Relativity and Quantum Cosmology · Physics 2015-06-05 A. de la Cruz-Dombriz , D. Saez-Gomez

In this paper, we will deform the usual energy-momentum dispersion relation of a photon gas at an intermediate scale between the Planck and electroweak scales. We will demonstrate that such a deformation can have non-trivial effects on the…

General Relativity and Quantum Cosmology · Physics 2018-07-26 Abhijit Dutta , Sunandan Gangopadhyay , Sebastian Bahamonde , Mir Faizal

The quasi-local notion of an isolated horizon is employed to study the entropy of black holes without any particular symmetry in loop quantum gravity. The idea of characterizing the shape of a horizon by a sequence of local areas is…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Shupeng Song , Haida Li , Yongge Ma , Cong Zhang

An analysis of some modified gravity models, based on the study of pure Schwarzschild and of Schwarzschild-de Sitter black holes, and involving the use of the Noether charge method, is carried out. Corrections to the classical Einsteinian…

High Energy Physics - Theory · Physics 2008-11-26 F. Briscese , E. Elizalde

The celebrated area-entropy formula for black holes has provided the most important clue in the search for the elusive theory of quantum gravity. We explore the possibility that the (linear) area-entropy relation acquires some smaller…

High Energy Physics - Theory · Physics 2009-11-10 Shahar Hod

Modified gravity theories generically predict a violation of Lorentz invariance, which may lead to a modified dispersion relation for propagating modes of gravitational waves. We construct a parametrized dispersion relation that can…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Saeed Mirshekari , Nicolas Yunes , Clifford M. Will

A new kind of duality has been proposed by Carr related to the quantum description of black holes, the so-called Compton/Schwarzschild duality \cite{Carr:2015nqa}. In this context, a new form for a Generalized Uncertainty Principle has…

General Relativity and Quantum Cosmology · Physics 2022-05-20 Marcelo Ferreira da Silva , Carlos A. S. Silva

In this paper we study the effects of noncommutative phase space deformations on the Schwarzschild black hole. This idea has been previously studied in {Friedmann-Robertson-Walker (FRW)} cosmology, where this "noncommutativity" provides a…

General Relativity and Quantum Cosmology · Physics 2017-04-05 A. Crespo-Hernandez , E. Mena , M. Sabido

The string-black hole correspondence is considered in the context of the correspondence principle proposed recently by Horowitz and Polchinski. We demonstrate that the entropy of string states and the entropy of a Schwarzschild black hole…

High Energy Physics - Theory · Physics 2009-10-30 Sergey N. Solodukhin

We make some observations regarding string/black hole correspondence with a view to understanding the nature of the quantum degrees of freedom of a black hole in string theory. In particular, we compare entropy change in analogous string…

High Energy Physics - Theory · Physics 2009-10-31 Ramzi R. Khuri

The entropy force is the collective effect of inhomogeneity in disorder in a statistical many particle system. We demonstrate its presumable effect on one particular astrophysical object, the black hole. We then derive the kinetic equations…

Statistical Mechanics · Physics 2019-09-24 R. A. Treumann , Wolfgang Baumjohann

The Immirzi parameter is a constant appearing in the general relativity action used as a starting point for the loop quantization of gravity. The parameter is commonly believed not to show up in the equations of motion, because it appears…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alejandro Perez , Carlo Rovelli

Microscopic black holes are sensitive to higher dimension operators in the gravitational action. We compute the influence of these operators on the Schwarzschild solution using perturbation theory. All (time reversal invariant) operators of…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Ming Lu , Mark B. Wise

We resort to the methods of statistical mechanics in order to determine the effects that a deformed dispersion relation has upon the thermodynamics of a photon gas. The ensuing modifications to the density of states, partition function,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Camacho , A. Macias

The explanation of black hole entropy as statistical entropy is one of the big successes of string theory. In this article we review recent progress in this subject, focussing on understanding quantum effects on black hole entropy.…

High Energy Physics - Theory · Physics 2025-02-24 Davide Cassani , Sameer Murthy

In this letter, we introduce two new forms of uncertainty relations by extending the usual Heisenberg algebra with higher terms. Within these scenarios, at first, we study on the Unruh temperature. We find that the Unruh temperature…

General Relativity and Quantum Cosmology · Physics 2021-04-13 B. Hamil , B. C. Lütfüoğlu

In statistical physics, useful notions of entropy are defined with respect to some coarse graining procedure over a microscopic model. Here we consider some special problems that arise when the microscopic model is taken to be relativistic…

High Energy Physics - Theory · Physics 2009-10-28 C. Holzhey , F. Larsen , F. Wilczek
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