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The definition of matter states on spacelike hypersurfaces of a 1+1 dimensional black hole spacetime is considered. Because of small quantum fluctuations in the mass of the black hole, the usual approximation of treating the gravitational…

High Energy Physics - Theory · Physics 2007-05-23 Miguel E. Ortiz

The presence of a horizon is the principal marker for black holes as they appear in the classical theory of gravity. In General Relativity (GR), horizons have several defining properties. First, there exists a static spherically symmetric…

High Energy Physics - Theory · Physics 2018-09-19 Clement Berthiere , Debajyoti Sarkar , Sergey N. Solodukhin

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

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 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

We study the nature of the inner Cauchy horizon of a Reissner-Nordstr\"om black hole in a quantum context by means of the horizon wave-function obtained from modelling the electrically charged source as a Gaussian wave-function. Our main…

General Relativity and Quantum Cosmology · Physics 2015-04-29 Roberto Casadio , Octavian Micu , Dejan Stojkovic

The formalism of the horizon quantum mechanics is applied to electrically neutral and spherically symmetric black hole geometries emerging from coherent quantum states of gravity to compute the probability that the matter source is inside…

General Relativity and Quantum Cosmology · Physics 2025-06-16 Wenbin Feng , Andrea Giusti , Roberto Casadio

The prevalent opinion that infalling objects can freely cross a black hole horizon is based on the assumptions that the horizon region is governed by classical General Relativity and by specific singular coordinate transformations it is…

General Relativity and Quantum Cosmology · Physics 2019-11-19 Merab Gogberashvili

We address the issue of (quantum) black hole formation by particle collision in quantum physics. We start by constructing the horizon wave-function for quantum mechanical states representing two highly boosted non-interacting particles that…

High Energy Physics - Theory · Physics 2015-06-18 Roberto Casadio , Octavian Micu , Fabio Scardigli

By using the minisuperspace model for the interior metric ofstatic black holes, we solve the Wheeler-DeWitt equation to study quantum mechanics of the horizon geometry. Our basic idea is to introduce the gravitational mass and the…

General Relativity and Quantum Cosmology · Physics 2017-02-01 K. Nakamura , S. Konno , Y. Shiro , A. Tomimatsu

We study quantum corrections at the horizon scale of a black hole induced by a Generalized Uncertainty Principle (GUP) with a quadratic term in the momentum. The interplay between quantum mechanics and gravity manifests itself into a…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Luca Buoninfante , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello

The Horizon Quantum Mechanics is an approach that was previously introduced in order to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. In this work,…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Roberto Casadio , Andrea Giugno , Andrea Giusti , Octavian Micu

Loop Quantum Gravity is a theory that attempts to describe the quantum mechanics of the gravitational field based on the canonical quantization of General Relativity. According to Loop Quantum Gravity, in a gravitational field, geometric…

General Relativity and Quantum Cosmology · Physics 2021-12-16 W. F. Chagas-Filho

Black holes play an important role in linking microphysics with macrophysics, with those of the Planck mass ($M_P \sim10^{-5}$g) featuring in any theory of quantum gravity. In particular, the Compton-Schwarzschild correspondence posits a…

General Relativity and Quantum Cosmology · Physics 2023-02-27 B. J. Carr

Planck-scale corrections to the black-hole radiation spectrum in the Parikh-Wilczek tunneling framework are calculated. The corrective terms arise from modifications in the expression of the surface gravity in terms of the mass-energy of…

High Energy Physics - Theory · Physics 2009-11-11 Michele Arzano , A. J. M. Medved , Elias C. Vagenas

We investigate the scattering of electromagnetic and gravitational waves off a Reissner-Nordstr\"om black hole in the low-temperature regime where the near-horizon throat experiences large quantum fluctuations. We find that the black hole…

High Energy Physics - Theory · Physics 2025-10-07 Roberto Emparan , Stefano Trezzi

We study the probability that a horizon appears when concentric shells of matter collide, by computing the horizon wave-function of the system. We mostly consider the collision of two ultra-relativistic shells, both shrinking and expanding,…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Roberto Casadio , Octavian Micu

This is a review of the results on black hole physics in the framework of loop quantum gravity. The key feature underlying the results is the discreteness of geometric quantities at the Planck scale predicted by this approach to quantum…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Alejandro Perez

Quantum fluctuations in the background geometry of a black hole are shown to affect the propagation of matter states falling into the black hole in a foliation that corresponds to observations purely outside the horizon. A state that starts…

High Energy Physics - Theory · Physics 2014-11-18 Gilad Lifschytz , Miguel E. Ortiz

Deviations from Hawking's thermal black hole spectrum, observable for macroscopic black holes, are derived from a model of a quantum horizon in loop quantum gravity. These arise from additional area eigenstates present in quantum surfaces…

High Energy Physics - Theory · Physics 2008-11-26 Mohammad H. Ansari