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Several eigenvalue equations that could describe quantum black holes have been proposed in the canonical quantum gravity approach. In this paper, we choose one of the simplest of these quantum equations to show how the usual Feynman's path…

General Relativity and Quantum Cosmology · Physics 2010-11-19 O. Obregon , M. Sabido , V. I. Tkach

In this paper we shall consistently third quantize modified gravity. Then we shall analyse certain aspects of virtual black holes in this third quantized modified gravity. We will see how a statistical mechanical origin for the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Mir Faizal

We show that the entropy of cosmological perturbations originating as quantum vacuum fluctuations in the very early universe, including the contribution of the leading nonlinear interactions, can be viewed as momentum space entanglement…

High Energy Physics - Theory · Physics 2020-11-12 Suddhasattwa Brahma , Omar Alaryani , Robert Brandenberger

A deeper understanding of the thermal properties of black holes than we presently have depends to a large degree on obtaining a firmer grasp of the properties of the entropy. For such an understanding we must at least know the basic…

General Relativity and Quantum Cosmology · Physics 2012-08-27 James. W. York,

Considering a kicked rotor coupled to a model heat bath both the classical and quantum entropy productions are calculated exactly. Starting with an initial wave packet, the von Neuman entropy as a function of time is determined from the…

Quantum Physics · Physics 2009-11-07 Sankhasubhra Nag , Avijit Lahiri , Gautam Ghosh

We develop a formalism for calculating the entanglement entropy of an arbitrary spatial region of a gravitating spacetime at a moment of time symmetry. The crucial ingredient is a path integral over embeddings of the region into the overall…

High Energy Physics - Theory · Physics 2024-01-12 Vijay Balasubramanian , Charlie Cummings

Entropy plays a crucial role in characterization of information and entanglement, but it is not a scalar quantity and for many systems it is different for different relativistic observers. Loop quantum gravity predicts the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Daniel R. Terno

We consider asymptotically anti-de Sitter black holes in $d$-spacetime dimensions in the thermodynamically stable regime. We show that the Bekenstein-Hawking entropy and its leading order corrections due to thermal fluctuations can be…

High Energy Physics - Theory · Physics 2014-11-18 Saurya Das , Viqar Husain

We give a brief overview of black hole entropy, covering a few main developments since Bekenstein's original proposal

High Energy Physics - Theory · Physics 2018-10-30 Juan Maldacena

The generic crease set of an event horizon possesses anisotropic structure though most of black holes are dynamically stable. This fact suggests that a generic almost spherical black hole has a very crumpled crease set in a microscopic…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Masaru Siino

Inspired by a recent experiment by Steinhauer and co-workers, we present a simple model which describes the formation of an acoustic black hole in a Bose-Einstein condensate, allowing an analytical computation of the evolution in time of…

General Relativity and Quantum Cosmology · Physics 2021-03-19 Alessandro Fabbri , Roberto Balbinot

Entropic cosmology with the R\'{e}nyi entropy of the apparent horizon $S_R=(1/\alpha)\ln(1+\alpha S_{BH})$, where $S_{BH}$ is the Bekenstein--Hawking entropy, is studied. By virtue of the thermodynamics-gravity correspondence a model of…

General Physics · Physics 2026-05-04 S. I. Kruglov

To derive black hole thermodynamics in any quantum theory of gravity, one must introduce constraints that ensure that a black hole is actually present. For a large class of black holes, the imposition of such ``horizon constraints'' allows…

General Relativity and Quantum Cosmology · Physics 2015-05-13 S. Carlip

In the framework of thermal quantization of radial geodesics completely confined behind the horizons we calculate the entropy of BTZ black hole in agreement with the Bekenstein--Hawking relation. Particles in the BTZ black hole occupy the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. V. Kiselev

Recently, it has been shown by Balasubramanian et al. and Myers et al. that the Bekenstein-Hawking entropy formula evaluated on certain closed surfaces in the bulk of a holographic spacetime has an interpretation as the differential entropy…

High Energy Physics - Theory · Physics 2015-06-22 Matthew Headrick , Robert C. Myers , Jason Wien

The gap between a microscopic theory for quantum spacetime and the semiclassical physics of blackholes is bridged by treating the blackhole spacetimes as highly excited states of a class of nonlocal field theories. All the blackhole…

High Energy Physics - Theory · Physics 2009-10-31 T. Padmanabhan

In this note we consider a stringy description of black hole horizon. We start with a nonlinear sigma model defined on a two dimensional Euclidean surface with background Rindler metric. By solving the field equations, we show that to the…

High Energy Physics - Theory · Physics 2009-10-28 Ichiro Oda

[Abridged] We compute the canonical entropy of a quantum scalar field around static and spherically symmetric black holes through the brick wall approach at the higher orders (in fact, up to the sixth order in \hbar) in the WKB…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sudipta Sarkar , S. Shankaranarayanan , L. Sriramkumar

In this paper we study the proposal present in \cite{1} concerning the statistical description of trapped gravitons and applied to derive the semi-classical black hole (BH) entropy $S_{BH}$. We study the possible configurations depending on…

High Energy Physics - Theory · Physics 2017-07-24 Stefano Viaggiu

Quantum foam, also known as spacetime foam, has its origin in quantum fluctuations of spacetime. Its physics is intimately linked to that of black holes and computation. Arguably it is the source of the holographic principle which severely…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Y. Jack Ng