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In this work the quantum theory of two dimensional dilaton black holes is studied using the Wheeler De Witt equation. The solutions correspond to wave functions of the black hole. It is found that for an observer inside the horizon, there…

High Energy Physics - Theory · Physics 2009-10-22 Ulf H. Danielsson

We develop the idea that, in quantum gravity where the horizon fluctuates, a black hole should have a discrete mass spectrum with concomitant line emission. Simple arguments fix the spacing of the lines, which should be broad but unblended.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jacob D. Bekenstein , V. F. Mukhanov

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

The fluctuations of the flux radiated by an evaporating black hole will be discussed. Two approaches to this problem will be adopted. In the first, the squared flux operator is defined by normal ordering. In this case, both the mean flux…

General Relativity and Quantum Cosmology · Physics 2016-08-25 C. -H. Wu , L. H. Ford

There appears to be a duality between elementary particles, which span the mass range below the Planck scale, and black holes, which span the mass range range above it. In particular, the Black Hole Uncertainty Principle Correspondence…

General Relativity and Quantum Cosmology · Physics 2017-03-28 B. J. Carr

We study scattering on the black hole horizon in a partial wave basis, with an impact parameter of the order of the Schwarzschild radius or less. This resembles the strong gravity regime where quantum gravitational effects appear. The…

High Energy Physics - Theory · Physics 2022-01-11 Nava Gaddam , Nico Groenenboom , Gerard 't Hooft

We give a simple argument showing that in any sensible quantum field theory the masses of black holes cannot assume continuous values and must be quantized. Our proof solely relies on Poincare-invariance of the asymptotic background, and is…

High Energy Physics - Phenomenology · Physics 2011-07-07 Gia Dvali , Cesar Gomez , Slava Mukhanov

About twenty years ago Hawking made the remarkable suggestion that the black hole evaporation process will inevitably lead to a fundamental loss of quantum coherence. The mechanism by which the quantum radiation is emitted appears to be…

High Energy Physics - Theory · Physics 2016-09-06 Erik Verlinde

Energy of a black hole is usually quantized by invoking some area quantization scheme after expressing the energy in terms of the horizon area. However, in this approach one has to quantize the local and asymptotic energy of the black hole…

General Relativity and Quantum Cosmology · Physics 2017-01-04 Abhishek Majhi

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

We take the view that the area of a black hole's event horizon is quantized, $A = l_P^2 \, (4 \ln 2) \, N$, and the associated degrees of freedom are finite in number and of fermionic nature. We then investigate general aspects of the…

General Physics · Physics 2022-10-26 Paolo Castorina , Alfredo Iorio , Luca Smaldone

The statistical response of a Kerr black hole to incoming quantum radiation has heretofore been studied by the methods of maximum entropy or quantum field theory in curved spacetime. Neither approach pretends to take into account the…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Jacob D. Bekenstein

Starting from the eigenvalue equation for the mass of a black hole derived by M\"akel\"a and Repo, we show that, by reparametrizing the radial coordinate and the wave function, it can be rewritten as the eigenvalue equation of a quantum…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Wilfredo Yupanqui Carpio , Octavio Obregón

Black holes are more than just odd-looking curiosities in gravity theory. They uniquely intertwine the basic principles of General Relativity with those of Quantum Theory. Just by demanding that they nevertheless obey acceptable laws of…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Gerard t Hooft

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

If one assumes the validity of conventional quantum field theory in the vicinity of the horizon of a black hole, one does not find a quantum mechanical description of the entire black hole that even remotely resembles that of conventional…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. 't Hooft

We calculate quantum gravitational corrections to the amplitude for the emission of a Hawking particle by a black hole. We show explicitly how the amplitudes depend on quantum corrections to the exterior metric (quantum hair). This reveals…

High Energy Physics - Theory · Physics 2023-06-14 Xavier Calmet , Stephen D. H. Hsu , Marco Sebastianutti

The Black Hole Uncertainty Principle correspondence proposes a connection between the Uncertainty Principle on microscopic scales and black holes on macroscopic scales. This is manifested in a unified expression for the Compton wavelength…

General Relativity and Quantum Cosmology · Physics 2014-02-07 B. J. Carr

In transforming from Schwarzschild to Euclidean Rindler coordinates the Schwarzschild time transforms to a periodic angle. As is well-known, this allows one to introduce the Hawking temperature and is an origin of black hole thermodynamics.…

General Relativity and Quantum Cosmology · Physics 2009-09-01 Kostyantyn Ropotenko

The quantum genesis of Hawking radiation is a long-standing puzzle in black hole physics. Semi-classically one can argue that the spectrum of radiation emitted by a black hole look very much sparse unlike what is expected from a thermal…

General Relativity and Quantum Cosmology · Physics 2016-02-05 Kinjalk Lochan , Sumanta Chakraborty