Dangerous implications of a minimum length in quantum gravity

Abstract

"The existence of a minimum length and a generalization of the Heisenberg uncertainty principle seem to be two fundamental ingredients required in any consistent theory of quantum gravity. In this paper, we show that they would predict dangerous processes which are phenomenologically unacceptable. For example, long-lived virtual super-Planck mass black holes may lead to rapid proton decay. Possible solutions of this puzzle are briefly discussed."