Statistical Entropy of 5D Ricci-Flat Space-Time with Generalized Uncertainty Principle Revised

Abstract

Considering corrections to all orders in the Planck length on the quantum state density from generalized uncertainty principle and using that quantum state density to all degrees of freedom including extra dimension, we calculate the statistical entropy of scalar field in the 5D Ricci-flat space-time without any artificial cutoff. Calculation shows that the entropy is the linear sum of the event horizon area and the cosmological horizon area.