Jonas Mureika, Piero Nicolini
It has recently been shown via an equivalence of gravitational radius and Compton wavelength in four dimensions that the trans-Planckian regime of gravity may by semi-classical, and that this point is defined by a minimum horizon radius commensurate with the Planck mass. We generalize this formalism to an arbitrary number of dimensions d, and show that gravity in d > 3 dimensions remains self-complete, while in lower dimensions it is not. Most interesting is the case for a (1+1)-dimensional dilaton gravity model resulting from dimensional reduction of Einstein gravity, which we show to be self-incomplete with no lower bound on possible black hole masses. Potential phenomenological implications of this result are considered.
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http://arxiv.org/abs/1206.4696
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