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The question of whether information is lost in black holes is investigated using Euclidean path integrals. The formation and evaporation of black holes is regarded as a scattering problem with all measurements being made at infinity. This…

High Energy Physics - Theory · Physics 2008-11-26 S. W. Hawking

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

The relation between entropy and the area of the event horizon of a quantum blackhole in four dimensions is derived. The Reissner-Nordstrom metric for a non-rotating, charged black hole is shown to be modified by the addition of a new…

High Energy Physics - Theory · Physics 2009-07-03 B. B. Deo , P. K. Jena

Almost all of the entropy in the universe is in the form of Bekenstein--Hawking (BH) entropy of super-massive black holes. This entropy, if it satisfies Boltzmann's equation $S=\log{\cal N}$, hence represents almost all the accessible phase…

General Relativity and Quantum Cosmology · Physics 2021-05-18 Erik Aurell , Michał Eckstein , Paweł Horodecki

The objectivity of black hole entropy is discussed in the particular case of a Schwarzchild black hole. Using Jaynes' maximum entropy formalism and Euclidean path integral evaluation of partition function, it is argued that in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Y. K. Lau

Black hole information problem is the question about unitarity of the evolution operator during the collapse and evaporation of the black hole. One can ask the same question about unitarity of quantum and inflationary cosmology. In this…

High Energy Physics - Theory · Physics 2024-01-23 Igor Volovich

We take the view that the area of a black hole's event horizon is quantized, $A = l_P^2 \, (4 \ln 2) \, N$, and the associated degrees of freedom are finite in number and of fermionic nature. We then investigate general aspects of the…

General Physics · Physics 2022-10-26 Paolo Castorina , Alfredo Iorio , Luca Smaldone

The black hole combines in some sense both the ``hydrogen atom'' and the ``black-body radiation'' problems of quantum gravity. This analogy suggests that black-hole quantization may be the key to a quantum theory of gravity. During the last…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Shahar Hod

We revisit the geometry representing l collinear Schwarzschild black holes. It is seen that the black holes' horizons are deformed by their mutual gravitational attraction. The geometry has a string like conical singularity that connects…

High Energy Physics - Theory · Physics 2009-10-31 Miguel S. Costa , Malcolm J. Perry

The aim of this chapter is twofold. First, we introduce the information loss problem; second, we provide a critical assessment by thoroughly inspecting the assumptions underlying its formulations. In particular, we argue that if we work in…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Luca Buoninfante , Francesco Di Filippo

A first-principles approach to the unitarity problem for black holes is systematically explored, based on the postulates of 1) quantum mechanics 2) the ability to approximately locally divide quantum gravitational systems into subsystems 3)…

High Energy Physics - Theory · Physics 2019-04-26 Steven B. Giddings

The black hole information paradox forces us into a strange situation: we must find a way to break the semiclassical approximation in a domain where no quantum gravity effects would normally be expected. Traditional quantizations of gravity…

High Energy Physics - Theory · Physics 2015-06-05 Samir D. Mathur

We discuss the entropy-area relation for the small black holes with higher curvature corrections by using the entropy function formalism and field redefinition method. We show that the entropy $S_{BH}$ of small black hole is proportional to…

High Energy Physics - Theory · Physics 2008-11-26 Rong-Gen Cai , Chiang-Mei Chen , Kei-ichi Maeda , Nobuyoshi Ohta , Da-Wei Pang

Thirty years of a deepening information paradox suggest the need to revise our basic physical framework. Multiple indicators point toward reassessment of the principle of locality: lack of a precise definition in quantum gravity, behavior…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings

The black hole information puzzle arises from a discrepancy between conclusions drawn from general relativity and quantum theory about the nature of the radiation emitted by a black hole. According to Hawking's original argument, the…

High Energy Physics - Theory · Physics 2021-12-24 Renato Renner , Jinzhao Wang

The coupling of a string to gravity allows for Schwarzschild black holes whose entropy to area relation is $S=(A/4)(1-4\mu)$, where $\mu$ is the string tension. This departure from the A/4 universality results from a string instanton…

High Energy Physics - Theory · Physics 2009-10-28 Francois Englert , Laurent Houart , Paul Windey

We study the universal behavior of quantum information-theoretic quantities in thermalized isolated quantum many-body systems and evaporating black holes. In particular, we study a genuine mixed-state entanglement measure called the…

High Energy Physics - Theory · Physics 2023-01-18 Shreya Vardhan , Jonah Kudler-Flam , Hassan Shapourian , Hong Liu

Since Hawking's 1974 discovery, we expect that a black hole formed by collapse will emit radiation and eventually disappear. Closely related to the information loss puzzle is the challenge to define an objective notion of physical entropy…

High Energy Physics - Theory · Physics 2023-03-31 Bernard S. Kay

The black hole information paradox and the black hole entropy are currently extensively researched. The consensus about the solution of the information paradox is not yet reached, and it is not yet clear what can we learn about quantum…

General Relativity and Quantum Cosmology · Physics 2018-11-29 Ovidiu Cristinel Stoica

Earlier calculations of black hole entropy in loop quantum gravity have given a term proportional to the area with a correction involving the logarithm of the area when the area eigenvalue is close to the classical area. However the…

General Relativity and Quantum Cosmology · Physics 2014-06-25 P. Mitra