Failure of Standard Thermodynamics in Planck Scale Black Hole System

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 Pages, 10 Figures, Revised and References added

Scientific paper

10.1016/j.chaos.2007.02.018

The final stage of the black hole evaporation is a matter of debates in the existing literature. In this paper, we consider this problem within two alternative approaches: noncommutative geometry(NCG) and the generalized uncertainty principle(GUP). We compare the results of two scenarios to find a relation between parameters of these approaches. Our results show some extraordinary thermodynamical behavior for Planck size black hole evaporation. These extraordinary behavior may reflect the need for a fractal nonextensive thermodynamics for Planck size black hole evaporation process.

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