Generalized uncertainty principle and extra dimensions

Abstract

The generalized uncertainty principle (GUP) is a modification of standard quantum mechanics due to Planck scale effects. The GUP has recently been used to improve the short distance behaviour of classical black hole spacetimes by invoking nonlocal modifications of the gravity action. We present the problem of extending such a GUP scenario to higher dimensional spacetimes and we critically review the existing literature on the topic.

7 pages, 1 figure, talk given at the 2nd Karl Schwarzschild Meeting, Frankfurt am Main, Germany, July 2015; to be published in Springer Proceedings in Physics. V3: minor corrections