Failure of Standard Thermodynamics in Planck Scale Black Hole System
arXiv:hep-th/0610076 · doi:10.1016/j.chaos.2007.02.018
Abstract
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.
26 Pages, 10 Figures, Revised and References added