At first sight this seems like a beautiful paper. Or at least a refreshing one (like opening a window on a good day.) MTd2 spotted it for us. http://arxiv.org/abs/1008.3345 Deformed Special Relativity from Asymptotically Safe Gravity Xavier Calmet, Sabine Hossenfelder, Roberto Percacci (Submitted on 19 Aug 2010) "By studying the notion of a fundamentally minimal length scale in asymptotically safe gravity we find that a specific version of deformed special relativity (DSR) naturally arises in this approach. We then consider two thought experiments to examine the interpretation of the scenario and discuss similarities and differences to other approaches to DSR." In AsymSafe gravity, the key constants run with scale. As the momentum k --> infinity, the Newton G goes to zero and the cosmological Lambda gets large. Because their dimensionless versions must converge to finite numbers. So with the running of G and Lambda, unexpected things can happen. Percacci et al find that a minimum length emerges.