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We propose a new method to account for quantum-gravitational effects in cosmological and black hole spacetimes. At the core of our construction is the "decoupling mechanism": when a physical infrared scale overcomes the effect of the…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Johanna N. Borissova , Alessia Platania

We portray the structure of quantum gravity emerging from recent progress in understanding the quantum mechanics of an evaporating black hole. Quantum gravity admits two different descriptions, based on Euclidean gravitational path integral…

High Energy Physics - Theory · Physics 2021-03-31 Yasunori Nomura

We adapt the horizon wave-function formalism to describe massive static spherically symmetric sources in a general $(1+D)$-dimensional space-time, for $D>3$ and including the $D=1$ case. We find that the probability $P_{\rm BH}$ that such…

General Relativity and Quantum Cosmology · Physics 2016-11-04 Roberto Casadio , Rogerio T. Cavalcanti , Andrea Giugno , Jonas Mureika

We present the state of the art regarding the relation between the physics of Quantum Black Holes and Noncommutative Geometry. We start with a review of models proposed in the literature for describing deformations of General Relativity in…

High Energy Physics - Theory · Physics 2014-11-18 Piero Nicolini

Black holes behave as thermodynamic systems, and a central task of any quantum theory of gravity is to explain these thermal properties. A statistical mechanical description of black hole entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

Black holes monopolize nowadays the center stage of fundamental physics. Yet, they are poorly understood objects. Notwithstanding, from their generic properties, one can infer important clues to what a fundamental theory, a theory that…

General Relativity and Quantum Cosmology · Physics 2008-04-05 José P. S. Lemos

This work explores the intersection of quantum mechanics and curved spacetime by employing the Wigner formalism to investigate quantum systems in the vicinity of black holes. Specifically, we study the quantum dynamics of a probe particle…

General Relativity and Quantum Cosmology · Physics 2026-05-21 David Garcia-Garcia , Jose A. R. Cembranos

A unified conceptual foundation of classical and quantum physics is given, free of undefined terms. Ensembles are defined by extending the `probability via expectation' approach of Whittle to noncommuting quantities. This approach carries…

Quantum Physics · Physics 2007-05-23 Arnold Neumaier

We discuss some of the drawbacks of using event horizons to define black holes and suggest ways in which black holes can be described without event horizons, using trapping horizons. We show that these trapping horizons give rise to…

General Relativity and Quantum Cosmology · Physics 2009-03-20 Alex B. Nielsen

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…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Roberto Casadio

Counting of microscopic states of black holes is discussed within the framework of loop quantum gravity. There are two different ways, one allowing for all spin states and the other involving only pure horizon states. The number of states…

High Energy Physics - Theory · Physics 2009-06-26 P. Mitra

It is not known what the limitations are on using quantum computation to speed up classical computation. An example would be the power to speed up PSPACE-complete computations. It is also not known what the limitations are on the duration…

High Energy Physics - Theory · Physics 2018-02-08 Leonard Susskind

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…

High Energy Physics - Theory · Physics 2014-10-29 Roberto Casadio , Andrea Giugno , Octavian Micu , Alessio Orlandi

Classical matching theory can be defined in terms of matrices with nonnegative entries. The notion of Positive operator, central in Quantum Theory, is a natural generalization of matrices with nonnegative entries. Based on this point of…

Quantum Physics · Physics 2007-05-23 Leonid Gurvits

Quantum algorithms are sequences of abstract operations, performed on non-existent computers. They are in obvious need of categorical semantics. We present some steps in this direction, following earlier contributions of Abramsky, Coecke…

Quantum Physics · Physics 2016-11-09 Dusko Pavlovic

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…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mu-Lin Yan , Hua Bai

I review the recent progress in providing a statistical foundation for black hole thermodynamics. In the context of string theory, one can now identify and count quantum states associated with black holes. One can also compute the analog of…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Gary T. Horowitz

Quantum-mechanical model of self-gravitating dust shell is considered. To clarify the relation between classical and quantum spacetime which the shell collapse form, we consider various time slicing on which quantum mechanics is developed.…

General Relativity and Quantum Cosmology · Physics 2011-09-09 K. Nakamura , Y. Oshiro , A. Tomimatsu

The quantum mechanics of black holes in generic 2-D dilaton gravity is considered. The Hamiltonian surface terms are derived for boundary conditions corresponding to an eternal black hole with slices on the interior ending on the horizon…

High Energy Physics - Theory · Physics 2009-10-30 A. Barvinsky , G. Kunstatter

Black holes are the elementary particles of gravity, the final state of sufficiently massive stars and of energetic collisions. With a forty-year long history, black hole physics is a fully-blossomed field which promises to embrace several…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Vitor Cardoso
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