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A heuristic analysis of black hole thermodynamics with generalized uncertainty principle

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Published 16 October 2009 Published under licence by IOP Publishing Ltd
, , Citation Li Xiang and X.Q. Wen JHEP10(2009)046 DOI 10.1088/1126-6708/2009/10/046

1126-6708/2009/10/046

Abstract

In the standard viewpoint, the temperature of a stationary black hole is proportional to its surface gravity. This is a semiclassical result and the quantum gravity effects are not taken into consideration. This research explores a unified expression for the black hole temperatures in the sense of a generalized uncertainty principle (GUP). Our argument is based on a heuristic analysis of a particle which is absorbed by the black hole. We make a new proposal that the square root of the black hole area represents the characteristic size in the absorption process (i.e. ρ0A1/2), which is valid to a class of static and spherically symmetric black holes and a Kerr-Newman case. The information capacity of a remnant is also discussed by Bousso's D-bound in de Sitter spacetime.

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10.1088/1126-6708/2009/10/046