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String theory and ``quantum geometry'' have recently offered independent statistical mechanical explanations of black hole thermodynamics. But these successes raise a new problem: why should models with such different microscopic degrees of…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

The perturbative approach was adopted to develop a temperature-dependent version of non-relativistic quantum mechanics in the limit of low-enough temperatures. A generalized, self-consistent Hamiltonian was therefore constructed for an…

Quantum Physics · Physics 2021-03-08 Ashkan Shekaari , Mahmoud Jafari

It is shown that a non-rotating macroscopic black hole with very large horizon area can remain in stable thermal equilibrium with Hawking radiation provided {\it its mass, as a function of horizon area, exceeds its microcanonical entropy,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ashok Chatterjee , Parthasarathi Majumdar

The Hawking-Unruh effect of thermal radiance from a black hole or observed by an accelerated detector is usually viewed as a geometric effect related to the existence of an event horizon. Here we propose a new viewpoint, that the detection…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu

It is shown that a Quantum Isolated Horizon(QIH), as observed by a local observer, is locally unstable as a thermodynamic system. The result is derived in two different ways. Firstly, the specific heat of the QIH is shown to be negative…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Abhishek Majhi

Hawking radiation is an important quantum phenomenon of black hole, which is closely related to the existence of event horizon of black hole. The cosmological event horizon of de Sitter space is also of the Hawking radiation with thermal…

High Energy Physics - Theory · Physics 2009-07-24 Rong-Gen Cai , Li-Ming Cao , Ya-Peng Hu

The event horizon is a source of irreversibility, analogous to statistical irreversibility. This is why for systems with an event horizon there is no difference between quantum and thermal fluctuations. Quantum processes of quantum…

General Relativity and Quantum Cosmology · Physics 2025-10-16 G. E. Volovik

We study the thermodynamic properties of horizons using the dynamical description of the gravitational degrees of freedom at a horizon found in a previous work. We use the action of the horizon degrees of freedom to posit an ansatz…

General Relativity and Quantum Cosmology · Physics 2012-05-30 Hyeyoun Chung

We investigate the apparent thermality of Hawking radiation in the semi-classical limit of quantum black holes using the mean-field limit of a chiral spin-chain simulator, which models fermions propagating on a black hole space-time in the…

High Energy Physics - Theory · Physics 2026-03-16 Iason A. Sofos , Andrew Hallam , Jiannis K. Pachos

The formalism of the horizon quantum mechanics is applied to electrically neutral and spherically symmetric black hole geometries emerging from coherent quantum states of gravity to compute the probability that the matter source is inside…

General Relativity and Quantum Cosmology · Physics 2025-06-16 Wenbin Feng , Andrea Giusti , Roberto Casadio

We study the classical stability of a class of S-brane geometries having cosmological horizons. By considering the perturbations of the metric in these geometries we establish that their horizons are unstable in the sense that an observer…

High Energy Physics - Theory · Physics 2009-11-10 C. P. Burgess , P. Martineau , F. Quevedo , G. Tasinato , I. Zavala

The surface Hamiltonian corresponding to the surface part of a gravitational action has $xp$ structure where $p$ is conjugate momentum of $x$. Moreover, it leads to $TS$ on the horizon of a black hole. Here $T$ and $S$ are temperature and…

General Relativity and Quantum Cosmology · Physics 2016-12-30 Ashish Bakshi , Bibhas Ranjan Majhi , Saurav Samanta

A mechanism is found that explains how matter falling into the future event horizon of a black hole leaves information there, which it sends to the past event horizon, and there it determines how particles are emitted. This way information…

General Relativity and Quantum Cosmology · Physics 2025-01-06 Gerard t Hooft

A local Hawking temperature was recently derived for any future outer trapping horizon in spherical symmetry, using a Hamilton-Jacobi tunneling method, and is given by a dynamical surface gravity as defined geometrically. Descriptions are…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Sean A. Hayward , R. Di Criscienzo , M. Nadalini , L. Vanzo , S. Zerbini

The instability against emission of massless particles by the trapping horizon of an evolving black hole is analyzed with the use of the Hamilton-Jacobi method. The method automatically selects one special expression for the surface gravity…

High Energy Physics - Theory · Physics 2008-11-26 R. Di Criscienzo , M. Nadalini , L. Vanzo , S. Zerbini , G. Zoccatelli

We analyze the motion of a {\it massless} and {\it chargeless} particle very near to the event horizon. It reveals that the radial motion has exponential growing nature which indicates that there is a possibility of inducing chaos in the…

General Relativity and Quantum Cosmology · Physics 2018-12-10 Surojit Dalui , Bibhas Ranjan Majhi , Pankaj Mishra

Recently, it was suggested that the Hawking radiation may originate not at the event horizon but in the quantum region outside of it, known as the quantum atmosphere. The present study attempts to explore this argument further by assessing…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adam Z. Kaczmarek , Dominik Szczęśniak

Different approaches to quantum gravity conclude that black holes may possess an inner horizon, in addition to the (quantum corrected) outer `Schwarzschild' horizon. In this paper we assume the existence of this inner horizon and explain…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Ramon Torres

Using the recent thermodynamical study of isolated horizons by Ghosh and Perez, we provide a statistical mechanical analysis of isolated horizons near equilibrium in the grand canonical ensemble. By matching the description of the dynamical…

General Relativity and Quantum Cosmology · Physics 2012-08-15 Daniele Pranzetti

We investigate the sine model, a one-dimensional tight-binding Hamiltonian featuring hoppings with a sinusoidal dependence on position, and demonstrate the formation of synthetic horizons where electronic wave packets exhibit exponential…

Mesoscale and Nanoscale Physics · Physics 2025-04-24 Ali G. Moghaddam , Viktor Könye , Lotte Mertens , Jasper van Wezel , Jeroen van den Brink