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Related papers: Demons in Black Hole Thermodynamics: Bekenstein an…

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Between 1972 and 1975, Jacob Bekenstein proposed that black holes possess entropy proportional to their horizon area, and Stephen Hawking derived this relationship from semiclassical quantum field theory in curved spacetime, predicting…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Ricardo Bulcão Valente Ferrari , Samuel Bueno Soltau

In the early 1970s, Jacob Bekenstein discovered that black holes have entropy, which became one of the greatest scientific revolutions of the second half of the 20th century. The objective of this paper is to present a simple derivation --…

Popular Physics · Physics 2026-02-27 Jorge Pinochet

I give some personal reflections on Jacob Bekenstein's pioneering work on associating an entropy to a black hole proportional to its area and on the generalized second law of thermodynamics.

History and Philosophy of Physics · Physics 2018-05-08 Robert M. Wald

These notes aim to provide an introduction to the basics of black hole thermodynamics. After explaining Bekenstein's original proposal that black holes have entropy, we discuss Hawking's discovery of black hole radiation, its analog for…

High Energy Physics - Theory · Physics 2025-05-20 Edward Witten

We propose a simple procedure for evaluating the main thermodynamical attributes of a Schwarzschild's black hole: Bekenstein-Hawking entropy, Hawking's temperature and Bekenstein's quantization of the surface area. We make use of the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 V. Pankovic , M. Predojevic , P. Grujic

About thirty years ago, Bekenstein and Hawking introduced three basic concepts relating to black hole, namely, the "area entropy", "gravitation temperature" and "thermal radiation". The author analyzes these concepts systematically and…

General Physics · Physics 2007-05-23 Xinyong Fu

A black hole can be regarded as a thermodynamic system described by a grand canonical ensemble. In this paper, we study the Bekenstein-Hawking entropy of higher-dimensional rotating black holes using the Euclidean path-integral method of…

High Energy Physics - Theory · Physics 2008-11-26 Zheng Ze Ma

Black hole thermodynamics emerged from the classical general relativistic laws of black hole mechanics, summarized by Bardeen-Carter-Hawking, together with the physical insights by Bekenstein about black hole entropy and the semi-classical…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Daniel Grumiller , Robert McNees , Jakob Salzer

Eugenio Bianchi and Matteo Smerlak have found a relationship between the Hawking radiation energy and von Neumann entropy in a conformal field emitted by a semiclassical two-dimensional black hole. We compare this relationship with what…

High Energy Physics - Theory · Physics 2015-10-14 Shohreh Abdolrahimi , Don N. Page

A deeper understanding of the thermal properties of black holes than we presently have depends to a large degree on obtaining a firmer grasp of the properties of the entropy. For such an understanding we must at least know the basic…

General Relativity and Quantum Cosmology · Physics 2012-08-27 James. W. York,

The comparison of geometrical properties of black holes with classical thermodynamic variables reveals surprising parallels between the laws of black hole mechanics and the laws of thermodynamics. Since Hawking's discovery that black holes…

History and Philosophy of Physics · Physics 2019-03-18 Carina E. A. Prunkl , Christopher G. Timpson

Black hole (BH) thermodynamics was established by Bekenstein and Hawking, who made abstract theoretical arguments about the second law of thermodynamics and quantum theory in curved spacetime respectively. Testing these ideas experimentally…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Ram Brustein , A. J. M. Medved , K. Yagi

After recalling the definition of black holes, and reviewing their energetics and their classical thermodynamics, one expounds the conjecture of Bekenstein, attributing an entropy to black holes, and the calculation by Hawking of the…

High Energy Physics - Theory · Physics 2015-06-26 Thibault Damour

We present a coherent picture of the quantum mechanics of black holes. The picture does not require the introduction of any drastically new physical effect beyond what is already known; it arises mostly from synthesizing and…

High Energy Physics - Theory · Physics 2015-06-19 Yasunori Nomura , Sean J. Weinberg

We present an approach to the four laws of black hole thermodynamics by utilizing the thermodynamics of quantum coherence. Firstly, Hawking effect is attributed to the decoherence of the two-mode squeezed state in a black hole spacetime.…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Xiao-Kan Guo

Hawking radiation elucidates black holes as quantum thermodynamic systems, thereby establishing a conceptual bridge between general relativity and quantum mechanics through particle emission phenomena. While conventional theoretical…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Cheng Hu , Xiao-Xiong Zeng

Stephen Hawking's contributions to the understanding of gravity, black holes and cosmology were truly immense. They began with the singularity theorems in the 1960s followed by his discovery that black holes have an entropy and consequently…

History and Philosophy of Physics · Physics 2020-02-11 Bernard J. Carr , George F. R. Ellis , Gary W. Gibbons , James B. Hartle , Thomas Hertog , Roger Penrose , Malcolm J. Perry , Kip S. Thorne

The Bekenstein-Hawking entropy is a cornerstone of horizon thermodynamics but quantum effects correct it, while inequivalent entropies arise also in non-extensive thermodynamics. Reviewing our previous work, we advocate for a new entropy…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

In 1974, Stephen Hawking theoretically discovered that black holes emit thermal radiation and have a characteristic temperature, known as the Hawking temperature. The aim of this paper is to present a simple heuristic derivation of the…

Popular Physics · Physics 2018-08-29 Jorge Pinochet

Two thermodynamic "paradoxes" of black hole physics are re-examined. The first is that there is a thermal instability involving two coupled blackbody cavities containing two black holes, and second is that a classical black hole can swallow…

General Physics · Physics 2015-03-17 R. Y. Chiao
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