arXiv 0803.07492008-03hep-thastro-phgr-qchep-ph

Dangerous implications of a minimum length in quantum gravity

Cosimo Bambi, Katherine Freese

备注：: 5 pages, no figure. v3: refereed version
发表信息：: Class.Quant.Grav.25:195013,2008
DOI：: 10.1088/0264-9381/25/19/195013

英文摘要：

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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We reply to the comment "A note on the innocuous implications of a minimum length in quantum gravity" by P.H. Frampton [Class. Quantum Grav. 26 (2009) 018001, arXiv:arXiv:0808.0283] on our paper "Dangerous implications of a minimum length in quantum gravity" [Class. Quantum Grav. 25 (2008) 195013, arXiv:0803.0749].

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