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We describe two puzzles that arise from a semiclassical treatment of near-extremal black hole thermodynamics. Both puzzles are resolved by realizing that quantum corrections become arbitrarily large at low temperatures, and we explain how…

High Energy Physics - Theory · Physics 2023-07-21 Gustavo J. Turiaci

I give a fairly systematic and thorough presentation of the case for regarding black holes as thermodynamic systems in the fullest sense, aimed at students and non-specialists and not presuming advanced knowledge of quantum gravity. I pay…

General Relativity and Quantum Cosmology · Physics 2018-06-18 David Wallace

Canonical quantization of local field theories is classical black hole spacetimes with a single horizon leads to a particle number density with a thermal distribution in equilibrium at the Hawking temperature. A complete treatment including…

High Energy Physics - Theory · Physics 2010-11-01 B. Harms , Y. Leblanc

We argue that if black hole entropy arises from a finite number of underlying quantum states, then any particular such state can be identified from infinity. The finite density of states implies a discrete energy spectrum, and, in general,…

High Energy Physics - Theory · Physics 2009-11-11 Vijay Balasubramanian , Donald Marolf , Moshe Rozali

According to quantum theory, pure physical states correspond to equivalence classes of state vectors, where any two members of one class differ by a complex factor. The point is that such a factor does not change the probability for the…

Quantum Physics · Physics 2017-11-06 Ulrich Mutze

We discuss the classical statistics of isolated subsystems. Only a small part of the information contained in the classical probability distribution for the subsystem and its environment is available for the description of the isolated…

Quantum Physics · Physics 2015-05-13 C. Wetterich

This paper presents a new Symmetrical Theory (ST) of nonrelativistic quantum mechanics which postulates: quantum mechanics is a theory about complete experiments, not particles; a complete experiment is maximally described by a complex…

Quantum Physics · Physics 2013-10-22 Michael B. Heaney

The early literature on black hole thermodynamics ignored the $P$-$V$ term associated with the existence of a fundamental physical constant in the black hole solution. The inclusion of this constant in the first law becomes inconsistent…

General Relativity and Quantum Cosmology · Physics 2016-02-22 Mustapha Azreg-Aïnou

On the basis of general relativity and quantum statistics, it was shown (Neslu\v{s}an L.: 2009, Phys. Rev. D 80, 024015, arxiv:0808.3484) that the equation of state (ES) of extremely hot Fermi-Dirac gas in the surface layer of an…

High Energy Astrophysical Phenomena · Physics 2010-03-11 L. Neslusan

This review is a contribution to a book dedicated to the memory of Michael E. Fisher. The first example of a quantum many body system not expected to have any quasiparticle excitations was the Wilson-Fisher conformal field theory. The…

Strongly Correlated Electrons · Physics 2024-11-22 Subir Sachdev

The one-loop quantum corrections to geometry and thermodynamics of black hole are studied for the two-dimensional RST model. We chose boundary conditions corresponding to the eternal black hole being in the thermal equilibrium with the…

High Energy Physics - Theory · Physics 2009-10-28 Sergey N. Solodukhin

We consider the generalized laws of thermodynamics in massive gravity. Making use of explicit black hole solutions, we devise black hole merger processes in which i) total entropy of the system decreases ii) the zero-temperature extremal…

General Relativity and Quantum Cosmology · Physics 2011-04-19 Fabio Capela , Peter G. Tinyakov

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 propose four information-theoretic axioms for the foundations of statistical mechanics in general physical theories. The axioms---Causality, Purity Preservation, Pure Sharpness, and Purification---identify a class of theories where every…

Quantum Physics · Physics 2016-08-18 Giulio Chiribella , Carlo Maria Scandolo

Quantum states with negative energy densities have been long known to exist in quantum field theories. We explore the structure of such states for holographic theories using quantum information theory tools and show how certain negative…

High Energy Physics - Theory · Physics 2019-01-09 Felipe Rosso

It was recently observed in arXiv:2304.07320 for thermal Kerr-Newman black holes in 4d flat space that one can rewrite the conventional thermodynamics on the inner and outer horizons in terms of left- and right-moving variables with a…

High Energy Physics - Theory · Physics 2024-02-20 Kiril Hristov

Although we have convincing evidence that a black hole bears an entropy proportional to its surface (horizon) area, the ``statistical mechanical'' explanation of this entropy remains unknown. Two basic questions in this connection are: what…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Rafael D. Sorkin

The black hole information problem has motivated many proposals for new physics. One idea, known as state-dependence, is that quantum mechanics must be generalized to describe the physics of black holes, and that fixed linear operators do…

High Energy Physics - Theory · Physics 2016-01-27 Donald Marolf , Joseph Polchinski

Throughout quantum mechanics there is statistical balance, in the collective response of an ensemble of systems to differing measurement types. Statistical balance is a core feature of quantum mechanics, underlying quantum mechanical…

Quantum Physics · Physics 2022-10-31 Brian Drummond

Thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, equations of state and thermodynamic response functions are explicitly…

General Relativity and Quantum Cosmology · Physics 2016-11-28 L. F. Escamilla-Herrera , E. Mena-Barboza , J. Torres-Arenas