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A quantum Schwarzschild black hole is described, at the mini super spacetime level, by a non-singular wave packet composed of plane wave eigenstates of the momentum Dirac-conjugate to the mass operator. The entropy of the mass spectrum…

General Relativity and Quantum Cosmology · Physics 2014-08-11 Aharon Davidson , Ben Yellin

Any effort to localise an event in the vicinity of the Planck length scale, only where the quantum gravitational effects are predicted to be observed, will invariably result in gravitational collapse. One must postulate noncommutative (NC)…

High Energy Physics - Theory · Physics 2023-11-14 Anwesha Chakraborty

In the last decade, progress on quantization of homogeneous cosmological spacetimes using techniques of loop quantum gravity has led to insights on various fundamental questions and has opened new avenues to explore Planck scale physics.…

General Relativity and Quantum Cosmology · Physics 2016-12-06 Ivan Agullo , Parampreet Singh

Using the quasilocal properties alone we show that the area spectrum of a black hole horizon must be discrete, independent of any specific quantum theory of gravity. The area spectrum is found to be half-integer spaced with values $8\pi…

General Relativity and Quantum Cosmology · Physics 2020-07-31 Ayan Chatterjee , Amit Ghosh

According to Bekenstein's area law, the black hole entropy is identified holographically -- with one quarter of the horizon area. However, it is commonly believed that such a law is only valid in Einstein's theory and that higher curvature…

High Energy Physics - Theory · Physics 2025-09-23 David Kubizňák , Marek Liška

The role of horizon area quantization on black hole thermodynamics is investigated in this article. The coefficient appearing in the quantization of area is fixed by an appeal to the saturated form of the Landauer's principle. Then by…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Arpita Jana , Manjari Dutta , Sunandan Gangopadhyay

If simple entropy in the Bekenstein-Hawking area law for a Schwarzschild black hole is replaced with 'negative' quantum conditional entropy, which quantifies quantum entanglement, of positive-energy particles of the black hole relative to…

High Energy Physics - Theory · Physics 2025-04-04 Koji Azuma , Go Kato

To investigate the holography in the Karch-Randall (KR) braneworld model, we construct time-symmetric initial data of black holes floating in the bulk, and compare it with its holographic dual, which is described by four-dimensional…

General Relativity and Quantum Cosmology · Physics 2010-04-28 Norihiro Tanahashi , Takahiro Tanaka

Motivated by the recent interest in underground experiments phenomenology, we review the main aspects of one specific non-commutative space-time model, based on the Groenewold-Moyal plane algebra, the $\theta$-Poincar\'e space-time. In the…

High Energy Physics - Phenomenology · Physics 2018-11-16 A. Addazi , A. Marciano

Building on the theory of noncommutative complex structures, the notion of a noncommutative K\"ahler structure is introduced. In the quantum homogeneous space case many of the fundamental results of classical K\"ahler geometry are shown to…

Quantum Algebra · Mathematics 2017-11-15 Réamonn Ó Buachalla

Ever since the pioneer works of Bekenstein and Hawking, black hole entropy has been known to have a quantum origin. Furthermore, it has long been argued by Bekenstein that entropy should be quantized in discrete (equidistant) steps given…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alejandro Corichi , Jacobo Diaz-Polo , Enrique Fernandez-Borja

Over the past five years, there has been significant progress on the problem of quantization of diffeomorphism covariant field theories with {\it local} degrees of freedom. The absence of a background space-time metric in these theories…

High Energy Physics - Theory · Physics 2007-05-23 Abhay Ashtekar , Jerzy Lewandowski

We discuss quantum black holes in asymptotically safe quantum gravity with a scale identification based on the Kretschmann scalar. After comparing this scenario with other scale identifications, we investigate in detail the Kerr-(A)dS and…

High Energy Physics - Theory · Physics 2019-02-11 Jan M. Pawlowski , Dennis Stock

We study the statistical mechanics for quantum scalar fields under the multi-parameter rotating black hole spacetime in arbitrary D dimensions. The method of analysis is general in the sense that the metric does not depend on the explicit…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Masakatsu Kenmoku , Yuki Kobayashi

We study the short-distance structure of geometric entanglement entropy in certain theories with a built-in scale of nonlocality. In particular we examine the cases of Little String Theory and Noncommutative Yang-Mills theory, using their…

High Energy Physics - Theory · Physics 2009-11-19 Jose L. F. Barbon , Carlos A. Fuertes

A deformed embedding of the Reissner-Nordstr{\o}m spacetime is constructed within the framework of a noncommutative Riemannian geometry. We find noncommutative corrections to the usual Riemannian expressions for the metric and curvature…

General Relativity and Quantum Cosmology · Physics 2018-05-18 Carlos A. Soto-Campos , Susana Valdez-Alvarado

The recent speculation of Maggiore that the periodicity of a black hole may be the origin of the area quantization law is confirmed. We exclusively utilize the period of motion of an outgoing wave, which is shown to be related to the…

General Relativity and Quantum Cosmology · Physics 2012-04-23 Xiao-Xiong Zeng , Xian-Ming Liu , Wen-Biao Liu

It has now become possible to study directly, via numerical simulation, the evolution of relativistic, radiation-dominated flows around compact objects. With this in mind we set out explicitly covariant forms of the radiative transfer…

High Energy Astrophysical Phenomena · Physics 2020-01-29 Shane W. Davis , Charles F. Gammie

The problem of how space-time responds to gravitating quantum matter in full quantum gravity has been one of the main questions that any program of quantization of gravity should address. Here we analyze this issue by considering the…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Miguel Campiglia , Rodolfo Gambini , Javier Olmedo , Jorge Pullin

We try to find a possible origin of the holographic principle in the Lorentz-covariant Yang's quantized space-time algebra (YSTA). YSTA, which is intrinsically equipped with short- and long-scale parameters, $\lambda$ and $R$, gives a…

High Energy Physics - Theory · Physics 2009-05-02 Sho Tanaka