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The energy of a test particle orbiting a Schwarzschild black hole is quantized owing to the quantization of the angular momentum. For smallest stable circular orbit, the excitation energy is found to resemble closely the expression for the…

General Relativity and Quantum Cosmology · Physics 2012-09-19 Eugen Simanek

If a black hole starts in a pure quantum state and evaporates completely by a unitary process, the von Neumann entropy of the Hawking radiation initially increases and then decreases back to zero when the black hole has disappeared. Here…

High Energy Physics - Theory · Physics 2015-06-12 Don N. Page

We compute the entropy of the Hawking radiation for an evaporating black hole, in 1+1 dimensions and in 3+1 dimensions. We investigate the validity of the semiclassical approximation for the evaporation process. It appears that there might…

High Energy Physics - Theory · Physics 2008-02-03 Samir D. Mathur

It is argued that the thermal nature of Hawking radiation arises solely due to decoherence. Thereby any information-loss paradox is avoided because for closed systems pure states remain pure. The discussion is performed for a massless…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Claus Kiefer

Blackbody radiation, emitted from a furnace and described by a Planck spectrum, contains (on average) an entropy of $3.9\pm 2.5$ bits per photon. Since normal physical burning is a unitary process, this amount of entropy is compensated by…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Ana Alonso-Serrano , Matt Visser

We study the corpuscular model of an evaporating black hole consisting of a specific quantum state for a large number $N$ of self-confined bosons. The single-particle spectrum contains a discrete ground state of energy $m$ (corresponding to…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Roberto Casadio , Andrea Giugno , Alessio Orlandi

In 1974 Steven Hawking showed that black holes emit thermal radiation, which eventually causes them to evaporate. The problem of the fate of information in this process is known as the "black hole information paradox". Two main types of…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Erik Aurell , Michał Eckstein , Paweł Horodecki

We argue that four-dimensional black hole evaporation inevitably produces an infinite number of soft particles in addition to the thermally distributed `hard' Hawking quanta, and moreover that the soft and hard particles are highly…

High Energy Physics - Theory · Physics 2017-06-23 Andrew Strominger

Taking into account time-dependence of the Hawking temperature and finite evaporation time of the black hole, total spectral distributions of the radiant energy and of the number of particles have been explicitly calculated and compared to…

General Relativity and Quantum Cosmology · Physics 2020-12-18 Bogusław Broda

We argue that a unitary description of the formation and evaporation of a black hole implies that the Bekenstein-Hawking entropy is the "entropy of a vacuum": the logarithm of the number of possible independent ways in which quantum field…

High Energy Physics - Theory · Physics 2014-11-11 Yasunori Nomura , Sean J. Weinberg

We argue that a process where a fuzzy space splits in two others can be used to explain the origin of the black hole entropy, and why a "generalized second law of thermodynamics" appears to hold in the presence of black holes. We reach the…

General Relativity and Quantum Cosmology · Physics 2015-05-18 C. A. S. Silva , R. R. Landim

Information loss paradox is still a challenging problem in theoretical physics. In this essay, for statics BTZ black holes and Schwarzschild black holes, we propose a simple solution based on the similarity between black holes and…

General Relativity and Quantum Cosmology · Physics 2020-04-03 Jingbo Wang

We propose a model for the geometry of a dynamical spherical shell in which the metric is asymptotically Schwarzschild, but deviates from Ricci-flatness in a finite neighbourhood of the shell. Hence, the geometry corresponds to a `hairy'…

General Relativity and Quantum Cosmology · Physics 2016-08-31 H. Zaidi , J. Gegenberg

We propose intuitive derivations of the Hawking temperature and the Bekenstein-Hawking entropy of a Schwarzschild black hole.

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. R. Silva

When a black hole first forms, the properties of the emitted radiation as measured by observers near future null infinity are very close to the 1974 prediction of Hawking. However, deviations grow with time, and become of order unity after…

High Energy Physics - Theory · Physics 2021-07-28 Eanna E Flanagan

We establish a state of stopping the Hawking radiation by quantum Schwarzschild black hole in the framework of quasi-classical thermal quantization for particles behind the horizon. The mechanism of absorption and radiation by the black…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. V. Kiselev

Twenty years ago, Rovelli proposed that the degeneracy of black hole (i.e. the exponential of the Bekenstein-Hawking entropy) is given by the number of ways the black hole horizon area can be expressed as a sum of unit areas. However, when…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Youngsub Yoon

A star collapsing gravitationally into a black hole emits a flux of radiation, known as Hawking radiation. When the initial state of a quantum field on the background of the star, is placed in the Unruh vacuum in the far past, then in the…

High Energy Physics - Theory · Physics 2016-11-04 Laura Mersini-Houghton

We present an analytic derivation of Hawking radiation for an arbitrary (spatial) dispersion relation $\omega(k)$ as a model for ultra-high energy deviations from general covariance. It turns out that the Hawking temperature is proportional…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ralf Schützhold , William G. Unruh

It has been suggested by Giddings that the origin of Hawking radiation in black holes is a quantum atmosphere of near-horizon quantum region by investigating both the total emission rate and the stress tensor of Hawking radiation.…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Myungseok Eune , Wontae Kim