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Demons in Black Hole Thermodynamics: Bekenstein and Hawking

Weinstein, Galina (2021) Demons in Black Hole Thermodynamics: Bekenstein and Hawking. [Preprint]

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Abstract

This paper comprehensively explores Stephen Hawking’s interaction with Jacob Bekenstein. Both Hawking and Bekenstein benefited from the interaction with each other. It is shown that Hawking’s interaction with Bekenstein drove him to solve the problems in Bekenstein’s black hole thermodynamics in terms of a new thermal radiation mechanism. Hawking argued that Bekenstein’s thermodynamics of black holes was riddled with problems. In trying to solve these problems, Hawking cut the Gordian knot with a single stroke: black holes emit thermal radiation. Hawking derived the thermal radiation using a semi-classical approximation in which the matter fields are treated quantum mechanically on a classical space-time background. Hawking’s semi-classical approximation yielded a simple formula for the entropy of the black hole, which turned out to be equivalent to Bekenstein’s equation for entropy.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Weinstein, Galinagaliweinstein.mc2@gmail.com
Keywords: Hawking, Bekenstein, black hole thermodynamics, Penrose, area theorem, entropy, Geroch, Hawking radiation, bound, evaporation time, acoustic,
Subjects: Specific Sciences > Physics > Astrophysics
General Issues > History of Science Case Studies
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Relativity Theory
Depositing User: Dr. Galina Weinstein
Date Deposited: 11 May 2023 13:01
Last Modified: 11 May 2023 13:01
Item ID: 22088
Official URL: https://arxiv.org/abs/2102.11209
Subjects: Specific Sciences > Physics > Astrophysics
General Issues > History of Science Case Studies
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Relativity Theory
Date: 3 March 2021
URI: https://philsci-archive.pitt.edu/id/eprint/22088

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