A heuristic analysis of black hole thermodynamics with generalized uncertainty principle

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. ρ0 ~ A1/2), 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.