Dangerous implications of a minimum length in quantum gravity

Details Dangerous implications of a minimum length in quantum gravity Dangerous implications of a minimum length in quantum gravity

2008-03-05

arxiv.org/abs/0803.0749v3

Class.Quant.Grav.25:195013,2008

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, no figure. v3: refereed version

Scientific paper

10.1088/0264-9381/25/19/195013

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 letter 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.

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