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The Horizon Quantum Mechanics is an approach that allows one to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. We first review the (global) formalism…

广义相对论与量子宇宙学 · 物理学 2018-05-09 Roberto Casadio , Andrea Giugno , Andrea Giusti , Octavian Micu

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,…

广义相对论与量子宇宙学 · 物理学 2017-06-28 Roberto Casadio , Andrea Giugno , Andrea Giusti , Octavian Micu

It is congruous with the quantum nature of the world to view the space-time geometry as an emergent structure that shows classical features only at some observational level. One can thus conceive the space-time manifold as a purely…

高能物理 - 理论 · 物理学 2016-03-16 R. Casadio , A. Giugno , O. Micu

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,…

广义相对论与量子宇宙学 · 物理学 2018-11-14 Roberto Casadio , Octavian Micu

We present a quantum description of black holes given by coherent states of gravitons sourced by a matter core. The expected behaviour in the weak-field region outside the horizon is recovered, with arbitrarily good approximation, but the…

广义相对论与量子宇宙学 · 物理学 2022-09-09 Roberto Casadio

In this paper we discuss some mathematical aspects of the horizon wave-function formalism, also known in the literature as horizon quantum mechanics. In particular, first we review the structure of both the global and local formalism for…

广义相对论与量子宇宙学 · 物理学 2018-01-17 Andrea Giusti

The motion of a particle near the RN black hole horizon is described by conformal mechanics. Models of this type have no ground state with vanishing energy. This problem was resolved in past by a redefinition of the Hamiltonian which breaks…

高能物理 - 理论 · 物理学 2007-05-23 Renata Kallosh

There is mounting theoretical evidence that black hole horizons induce decoherence on a quantum system, say a particle, put in a superposition of locations, with the decoherence functional, evaluated after closure of the superposition,…

广义相对论与量子宇宙学 · 物理学 2026-01-29 Max Joseph Fahn , Alessandro Pesci

After introducing the gravitational decoupling method and the hairy black hole recently derived from it, we investigate the formation of quantum hairy black holes by applying the horizon quantum mechanics formalism. It enables us to…

广义相对论与量子宇宙学 · 物理学 2023-01-03 R. T. Cavalcanti , J. M. Hoff da Silva

Several properties of canonical quantum gravity modify space-time structures, sometimes to the degree that no effective line elements exist to describe the geometry. An analysis of solutions, for instance in the context of black holes, then…

广义相对论与量子宇宙学 · 物理学 2011-11-04 Martin Bojowald , George M. Paily , Juan D. Reyes , Rakesh Tibrewala

We study the extent of quantum gravitational effects in the internal region of non-singular, Hayward-like solutions of Einstein's field equations according to the formalism known as Horizon Quantum Mechanics. We grant a microscopic…

广义相对论与量子宇宙学 · 物理学 2018-04-04 Andrea Giugno , Andrea Giusti , Alexis Helou

The horizon is a classical concept that arises in general relativity, and is therefore not clearly defined when the source cannot be reliably described by classical physics. To any (sufficiently) localised quantum mechanical wave-function,…

广义相对论与量子宇宙学 · 物理学 2013-05-15 R. Casadio

The gravitational force harbours a fundamental instability against collapse. In standard General Relativity without Quantum Mechanics, this implies the existence of black holes as natural, stable solutions of Einstein's equations. If one…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Gerard 't Hooft

Coherent quantum black holes are quantum geometries obtained by means of a mean-field-like approach to the gravitational interaction. This procedure attenuates the classical spacetime singularities of general relativity by replacing them…

广义相对论与量子宇宙学 · 物理学 2025-05-14 Tommaso Antonelli , Andrea Giusti , Roberto Casadio , Lavinia Heisenberg

We explore the quantum nature of black holes by introducing an effective framework that takes into account deviations from the classical results. The approach is based on introducing quantum corrections to the classical Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2022-09-14 Emanuele Binetti , Manuel Del Piano , Stefan Hohenegger , Franco Pezzella , Francesco Sannino

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…

高能物理 - 理论 · 物理学 2018-09-19 Clement Berthiere , Debajyoti Sarkar , Sergey N. Solodukhin

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 G. 't Hooft

A semi-classical reasoning leads to the non-commutativity of space and time coordinates near the horizon of static non-extreme black hole, and renders the classical horizon spreading to {\it Quantum Horizon} . In terms of the background…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Mu-Lin Yan , Hua Bai

Treating macro-black hole as quantum states, and using Brown-York quaselocal gravitational energy definition and Heisenberg uncertainty principle, we find out the classical horizon with singularity spreads into a quantum horizon in which…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Hua Bai , Mu-Lin Yan

We employ the recently proposed formalism of the "horizon wave-function" to investigate the emergence of a horizon in models of black holes as Bose-Einstein condensates of gravitons. We start from the Klein-Gordon equation for a massless…

高能物理 - 理论 · 物理学 2014-10-29 Roberto Casadio , Andrea Giugno , Octavian Micu , Alessio Orlandi
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