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We motivate through a detailed analysis of the Hawking radiation in a Schwarzschild background a scheme in accordance with quantum unitarity. In this scheme the semi-classical approximation of the unitary quantum - horizonless - black hole…

High Energy Physics - Theory · Physics 2011-01-05 Francois Englert , Philippe Spindel

We observe that the existence of black holes limits the extent to which M Theory (or indeed any quantum theory of gravity) can be described by conventional quantum mechanics. Although there is no contradiction with the fundamental…

High Energy Physics - Theory · Physics 2009-10-31 Ofer Aharony , Tom Banks

In this paper we present a suitably adjusted Higgs-like mechanism producing black holes at, and beyond, the Planck energy. Planckian objects are difficult to classify either as "particles", or as "black holes", since the Compton wavelength…

High Energy Physics - Theory · Physics 2018-08-01 Euro Spallucci , Anais Smailagic

We describe a unitary scattering process, as observed from spatial infinity, of massless scalar particles on an asymptotically flat Schwarzschild black hole background. In order to do so, we split the problem in two different regimes…

High Energy Physics - Theory · Physics 2021-07-21 Panos Betzios , Nava Gaddam , Olga Papadoulaki

Beginning with Bekenstein, many authors have considered a uniformly spaced discrete quantum spectrum for black hole horizon area. It is also believed that the huge degeneracy of these area levels corresponds to the notion of black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Gilad Gour

Microscopic black holes are sensitive to higher dimension operators in the gravitational action. We compute the influence of these operators on the Schwarzschild solution using perturbation theory. All (time reversal invariant) operators of…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Ming Lu , Mark B. Wise

An approach to black hole quantization is proposed wherein it is assumed that quantum coherence is preserved. A consequence of this is that the Penrose diagram describing gravitational collapse will show the same topological structure as…

General Relativity and Quantum Cosmology · Physics 2010-04-06 C. R. Stephens , G. 't Hooft , B. F. Whiting

The near-horizon properties of a black hole are studied within an algebraic framework, using a scalar field as a simple probe to analyze the geometry. The operator H governing the near-horizon dynamics of the scalar field contains an…

High Energy Physics - Theory · Physics 2011-07-19 Danny Birmingham , Kumar S. Gupta , Siddhartha Sen

The algebra of polynomials in operators that represent generalized coordinate and momentum and depend on the Planck constant is defined. The Planck constant is treated as the parameter taking values between zero and some nonvanishing $h_0$.…

Quantum Physics · Physics 2007-05-23 S. Prvanovic , Z. Maric

We describe a midi-superspace quantization scheme for generic single horizon black holes in which only the spatial diffeomorphisms are fixed. The remaining Hamiltonian constraint yields an infinite set of decoupled eigenvalue equations: one…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Gegenberg , G. Kunstatter , R. D. Small

We consider dynamics of a quantum scalar field, minimally coupled to classical gravity, in the near-horizon region of a Schwarzschild black-hole. It is described by a static Klein-Gordon operator which in the near-horizon region reduces to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Martinis , V. Mikuta-Martinis

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…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Roberto Casadio , Andrea Giugno , Andrea Giusti , Octavian Micu

We establish the analytic structure of the S-matrix in the complex-frequency plane for classical wave scattering on a Schwarzschild background in four space-time dimensions. Our argument relies on the analytic continuation of the…

High Energy Physics - Theory · Physics 2025-12-01 Miguel Correia , Tushar Gopalka , Giulia Isabella , Anna M. Wolz

We construct a diffeormorphism invariant operator that is sensitive to how far we are from the black hole horizon. Its expectation value blows up on the horizon and it is small away from the horizon. Using this operator, we propose a…

High Energy Physics - Theory · Physics 2007-05-23 N. Itzhaki

Particles colliding at impact parameter much larger than the effective gravitational radius can not classically form a black hole and just scatter off the radial potential barrier separating the particles. We show that the process of the…

High Energy Physics - Theory · Physics 2007-05-23 Sergey N. Solodukhin

According to the holographic principle, the information content assigned to a gravitational region is processed by its lower dimensional boundary. As an example setup compatible with this principle, the AdS/CFT correspondence relies on the…

High Energy Physics - Theory · Physics 2024-01-23 Abram Akal

We present an operator algebraic perspective on the black hole information problem. For a black hole after Page time that is entangled with the early radiation we formulate a version of the information puzzle that is well-posed in the $G\to…

High Energy Physics - Theory · Physics 2024-08-02 Jeremy van der Heijden , Erik Verlinde

We continue our recent endeavor in which a time-dependent black hole solution of a one-loop quantum-corrected Einstein-scalar system was obtained and its near-horizon behavior was analyzed. The energy analysis led to a trans-Planckian…

High Energy Physics - Theory · Physics 2022-02-08 A. J. Nurmagambetov , I. Y. Park

In the context of an extended General Relativity theory with boundary terms included, we introduce a new nonlinear quantum algebra involving a quantum differential operator, with the aim to calculate quantum geometric alterations when a…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Mauricio Bellini , Juan Ignacio Musmarra , Daniela Magos

The black hole paradigm, while remarkably successful, raises fundamental questions-both classical and quantum-about the nature of spacetime, horizons, and singularities. Black hole mimickers, horizonless ultra-compact objects, have emerged…