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The trace over the degrees of freedom located in a subset of the space transforms the vacuum state into a density matrix with non zero entropy. This geometric entropy is believed to be deeply related to the entropy of black holes. Indeed,…

High Energy Physics - Theory · Physics 2014-11-18 H. Casini

The arena normally used in black holes thermodynamics was recently generalized to incorporate a broad class of physically interesting situations. The key idea is to replace the notion of stationary event horizons by that of `isolated…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Abhay Ashtekar

The entanglement entropy is a fundamental quantity which characterizes the correlations between sub-systems in a larger quantum-mechanical system. For two sub-systems separated by a surface the entanglement entropy is proportional to the…

High Energy Physics - Theory · Physics 2015-05-27 Sergey N. Solodukhin

The investigation about the volume of a black hole is closely related to the quantum nature of the black hole. The entropy is a significant concept for this. A recent work by Majhi and Samanta [Phys. Lett. B 770 (2017) 314] after us…

General Relativity and Quantum Cosmology · Physics 2017-09-22 Baocheng Zhang

Space-time singularities, viz. Big bang, Big crunch and black holes have been shown to follow from the singularity theorems of General relativity. Whether the entropy at such infinite proper-time objects can be other than zero has also been…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Akinbo Ojo

Various approaches to black hole entropy yield the area law with logarithmic corrections, many involving a coefficient 1/2, and some involving 3/2. It is pointed out here that the standard quantum geometry formalism is not consistent with…

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

The behavior of black hole horizons under extreme conditions-such as near collapse or phase transitions-remains less understood, particularly in the context of soft hair and Aretakis instabilities. We show that the breakdown of conformal…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Pradosh Keshav MV , Arun Kenath

A state of a black hole in loop quantum gravity is given by a distribution of spins on punctures on the horizon. The distribution is of the Boltzmann type, with the area playing the role of the energy. In investigations where the total area…

General Relativity and Quantum Cosmology · Physics 2009-05-18 A. Ghosh , P. Mitra

It was recently argued by Almheiri et al that black hole complementarity strains the basic rules of quantum information theory, such as monogamy of entanglement. Motivated by this argument, we develop a practical framework for describing…

High Energy Physics - Theory · Physics 2015-06-12 Erik Verlinde , Herman Verlinde

Recently, it has been shown that a quantum system held in spatial superposition and then eventually recombined does experience decoherence from black hole horizons, at a level increasing linearly with the time the superposition has been…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Max Joseph Fahn , Alessandro Pesci

Modes of physical fields which are located inside a horizon and which cannot be observed by a distant observer are identified with dynamical degrees of freedom of a black hole. A new invariant statistical mechanical definition of a…

General Relativity and Quantum Cosmology · Physics 2021-01-05 Valery Frolov , Igor Novikov

Black hole (BH) quantization may be the key to unlocking a unifying theory of quantum gravity (QG). Surmounting evidence in the field of BH research continues to support a horizon (surface) area with a discrete and uniformly spaced…

General Physics · Physics 2014-07-18 C. Corda , S. H. Hendi , R. Katebi , N. O. Schmidt

Quantum entropy function is a proposal for computing the entropy associated with the horizon of a black hole in the extremal limit, and is related via AdS/CFT correspondence to the dimension of the Hilbert space in a dual quantum mechanics.…

High Energy Physics - Theory · Physics 2009-08-24 Ashoke Sen

For more than 80 years theoretical physicists have been trying to develop a theory of quantum gravity which would successfully combine the tenets of Einstein's theory of general relativity (GR) together with those of quantum field theory.…

General Relativity and Quantum Cosmology · Physics 2019-03-20 Andreas G. A. Pithis

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

We consider perturbative quantum gravity as a quantum field theory of linearized metric perturbation on an asymptotically flat spacetime with a bifurcate Killing horizon. We include the perturbative gravitational constraints into the…

High Energy Physics - Theory · Physics 2026-03-04 Avinandan Mondal , Kartik Prabhu

We review the insights into black hole entropy that arise from the formulation of gravitation theory in terms of dimensional continuation. The role of the horizon area and the deficit angle of a conical singularity at the horizon as…

High Energy Physics - Theory · Physics 2007-05-23 C. Teitelboim

In an attempt to re-establish space-time as an essential frame for formulating quantum gravity - rather than an "emergent" one -, we find that exact invariance under scale transformations is an essential new ingredient for such a theory.…

General Relativity and Quantum Cosmology · Physics 2009-09-21 Gerard 't Hooft

The entropy bound conjecture concerning black hole dynamical horizons is proved. The conjecture states, if a dynamical horizon, $D_H$, is bounded by two surfaces with areas of $A_B$ and $\abp$ ($\abp>A_B$), then the entropy, $S_D$, that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sijie Gao , Xiaoning Wu

Near the horizon, the obvious symmetries of a black hole spacetime---the horizon-preserving diffeomorphisms---are enhanced to a larger symmetry group with a BMS${}_3$ algebra. Using dimensional reduction and covariant phase space…

General Relativity and Quantum Cosmology · Physics 2018-03-14 S. Carlip