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We consider the black hole information problem in an explicitly defined spacetime modelling black hole evaporation. Using this context we review basic aspects of the problem, with a particular effort to be unambiguous about subtle topics,…

General Relativity and Quantum Cosmology · Physics 2021-04-16 Joseph Schindler , Evan Frangipane , Anthony Aguirre

Black hole evaporation is studied using wave packets for the modes. These allow for approximate frequency and time resolution. The leading order late time behavior gives the well known Hawking radiation that is independent of how the black…

General Relativity and Quantum Cosmology · Physics 2019-09-26 Paul R. Anderson , Raymond D. Clark , Alessandro Fabbri , Michael R. R. Good

While recent progress in the black hole information problem has shown that the entropy of Hawking radiation follows a unitary Page curve, the quantum state of Hawking radiation prior the Page time is still treated as purely thermal,…

High Energy Physics - Theory · Physics 2023-05-31 Jonah Kudler-Flam , Yuya Kusuki

We discuss the dynamics of two harmonic oscillators of which one has a negative kinetic term. This model mimics the Hamiltonian in quantum geometrodynamics, which possesses an indefinite kinetic term. We solve for the time evolution in both…

General Relativity and Quantum Cosmology · Physics 2009-10-16 Claus Kiefer , Joao Marto , Paulo Vargas Moniz

In this paper, a natural generalization of KMY model is proposed for the evaporation of charged black holes. Within the proposed model, the back reaction of Hawking radiation is considered. More specifically, we consider the equation…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Yu-Ping Wang

We propose a modified version of the Horowitz-Maldacena final-state boundary condition based upon a matter-radiation thermalization hypothesis on the Black Hole interior, which translates into a particular entangled state with thermal…

High Energy Physics - Theory · Physics 2008-11-26 A. Fabbri , A. Perez

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

We compute the mutual information of two Hawking particles emitted consecutively by an evaporating black hole. Following Page, we find that the mutual information is of order exp(-S) where S is the entropy of the black hole. We speculate on…

High Energy Physics - Theory · Physics 2013-10-30 Norihiro Iizuka , Daniel Kabat

We study the black-hole evaporation from the perspective of neural networks. We then analyze the evolution of the Hamiltonian, finding in this way the conditions under which the synapse connecting the neurons changes from gravitatory to…

High Energy Physics - Theory · Physics 2019-01-04 Ivan Arraut

These lecture notes are an elementary and pedagogical introduction to the black hole evaporation, based on a lecture given by the author at the Ninth Modave Summer School in Mathematical Physics and are intended for PhD students. First,…

General Relativity and Quantum Cosmology · Physics 2014-01-17 Pierre-Henry Lambert

By gluing together two sections of flat space-time in different metric representations (with the Minkowski metric representing the region far away from the black hole and the Rindler metric modeling the vicinity of the horizon), we…

General Relativity and Quantum Cosmology · Physics 2024-12-16 Ralf Schützhold , William G. Unruh

We consider Hawking radiation as due to a tunneling process in a black hole were quantum corrections, derived from Quantum Einstein Gravity, are taken into account. The consequent derivation, satisfying conservation laws, leads to a…

General Relativity and Quantum Cosmology · Physics 2015-06-16 R. Torres , F. Fayos , O. Lorente-Espin

The question of whether Hawking evaporation violates unitarity, and therefore results in the loss of information, remains unresolved since Hawking's seminal discovery. So far the investigations remain mostly theoretical since it is almost…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Pisin Chen , Gerard Mourou

The simplest possible equation for Hawking radiation, and other black hole radiated power is derived in terms of black hole density. Black hole density also leads to the simplest possible model of a gas of elementary constituents confined…

General Physics · Physics 2007-05-23 Mario Rabinowitz

Condensed matter black hole analogues may provide guidance in grappling with difficult questions about the role of short distance physics in the Hawking effect. These questions bear on the very existence of Hawking radiation, the…

Condensed Matter · Physics 2007-05-23 Ted Jacobson , Tatsuhiko Koike

We present the quantization of the electromagnetic field near the event horizon of a Schwarzschild black hole using Euclidean path integrals. Our result for the vacuum energy describes a black hole surrounded by a finite volume of photons…

High Energy Physics - Theory · Physics 2026-02-03 Victor H. Alencar

In Ref. arXiv:2502.08816, Hawking radiation was analyzed through a statistical mechanics framework, revealing a structured microstate description of black hole horizons and information transfer into the radiation background. This study…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Noah M. MacKay

In this review, we describe recent progress on the black hole information problem that involves a new understanding of how to calculate the entropy of Hawking radiation. We show how the method for computing gravitational fine-grained…

High Energy Physics - Theory · Physics 2021-07-28 Ahmed Almheiri , Thomas Hartman , Juan Maldacena , Edgar Shaghoulian , Amirhossein Tajdini

We compute the semi-classical quantum amplitude to go from an initial spherically symmetric bosonic matter and gravitational field configuration to a final radiation configuration, corresponding to the relic Hawking radiation from a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrew N. S. J. Farley

Inspired by the recent conjecture that black holes are condensates of gravitons, we investigate a simple model for the black hole degrees of freedom that is consistent both from the point of view of Quantum mechanics and of General…

High Energy Physics - Theory · Physics 2015-06-15 R. Casadio , A. Orlandi