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Aspects of holography or dimensional reduction in gravitational physics are discussed with reference to black hole thermodynamics. Degrees of freedom living on Isolated Horizons (as a model for macroscopic, generic, eternal black hole…

General Relativity and Quantum Cosmology · Physics 2008-02-12 Parthasarathi Majumdar

We present a statistical mechanical calculation of the thermodynamical properties of (non rotating) isolated horizons. The introduction of Planck scale allows for the definition of an universal horizon temperature (independent of the mass…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Amit Ghosh , Alejandro Perez

One would expect spacetime to have a foam-like structure on the Planck scale with a very high topology. If spacetime is simply connected (which is assumed in this paper), the non-trivial homology occurs in dimension two, and spacetime can…

High Energy Physics - Theory · Physics 2009-10-28 Stephen W. Hawking

TeV scale black hole thermodynamics in the presence of quantum gravity effects encoded in the existence of a minimal length and a maximal momentum is studied in a model universe with large extra dimensions.

High Energy Physics - Theory · Physics 2012-06-26 Kourosh Nozari , P. Shahini

Relying solely on unitarity and the consistency with large-distance black hole physics, we derive model-independent properties of the microscopic black holes and of short-distance gravity in theories with N particle species. In this class…

High Energy Physics - Theory · Physics 2010-02-16 Gia Dvali

We argue that the quantum nature of matter and gravity should lead to a discretization of the allowed states of the matter confined in the interior of black holes. To support and illustrate this idea, we consider a quadratic extension of…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Gonzalo J. Olmo , Diego Rubiera-Garcia

General Relativity is known to break down at singularities. However, it is expected that quantum corrections become important when the curvature is of the order of Planck scale avoiding the singularity. By calculating the effect of tidal…

General Relativity and Quantum Cosmology · Physics 2013-11-04 Douglas G. Moore , V. H. Satheeshkumar

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

We describe the horizon of a quantum black hole in terms of a dynamical surface which defines the boundary of space-time as seen by external static observers, and we define a path integral in the presence of this dynamical boundary. Using…

High Energy Physics - Theory · Physics 2009-10-28 Michele Maggiore

In 1974 Jacob Bekenstein has noticed that the area of the black hole behaves as adiabatic invariant and hence most likely must be quantized in integers of the Planckian area. In these notes I will present the arguments which led him and…

History and Philosophy of Physics · Physics 2018-10-09 Viatcheslav Mukhanov

The invariant four-volume $\mathcal{V}$ of a complete black hole (the volume of the spacetime at and interior to the horizon) diverges. However, if one considers the black hole set up by the gravitational collapse of an object, and…

General Relativity and Quantum Cosmology · Physics 2010-06-03 William Ballik , Kayll Lake

Noncommutative black holes in higher dimensions are investigated in the context of holographic principle. Quantization rules for the discrete mass spectrum are derived and compared with the continuous spectrum in the literature. Because of…

General Relativity and Quantum Cosmology · Physics 2012-10-15 Jong-Phil Lee

Hawking particles emitted by a black hole are usually found to have thermal spectra, if not exactly, then by a very good approximation. Here, we argue differently. It was discovered that spherical partial waves of in-going and out-going…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Gerard 't Hooft

Getting the mathematical rules for quantised black holes correctly is far from straightforward. Many earlier treatises got it not quite correctly. The general relativistic transformation linking the distant observer (who only detects…

General Relativity and Quantum Cosmology · Physics 2019-02-28 Gerard t Hooft

This letter aims at showing that the observation of evaporating black holes should allow distinguishing between the usual Hawking behavior and Loop Quantum Gravity (LQG) expectations. We present a full Monte-Carlo simulation of the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Aurelien Barrau , Xiangyu Cao , Jacobo Diaz-Polo , Julien Grain , Thomas Cailleteau

The previously proposed "Complexity=Volume" or CV-duality is probed and developed in several directions. We show that the apparent lack of universality for large and small black holes is removed if the volume is measured in units of the…

High Energy Physics - Theory · Physics 2018-12-05 Josiah Couch , Stefan Eccles , Ted Jacobson , Phuc Nguyen

We provide a (simplified) quantum description of primordial black holes at the time of their formation. Specifically, we employ the horizon quantum mechanics to compute the probability of black hole formation starting from a simple quantum…

General Relativity and Quantum Cosmology · Physics 2019-09-04 R. Casadio , A. Giugno , A. Giusti , M. Lenzi

We derive and critically examine the consequences that follow from the formation of a regular black or white hole horizon in finite time of a distant observer. In spherical symmetry, only two distinct classes of solutions to the…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Sebastian Murk , Daniel R. Terno

We present the state of the art regarding the relation between the physics of Quantum Black Holes and Noncommutative Geometry. We start with a review of models proposed in the literature for describing deformations of General Relativity in…

High Energy Physics - Theory · Physics 2014-11-18 Piero Nicolini

A simple classical consideration of black hole formation and evaporation times focusing solely on the frame of an observer at infinity demonstrates that an infall cutoff outside the event horizon of a black hole must be imposed in order for…

General Relativity and Quantum Cosmology · Physics 2015-04-13 Borun D. Chowdhury , Lawrence M. Krauss
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