2008/11/30 by Dario Benedetti · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevlett.102.111303
published as Phys.Rev.Lett.102:111303,2009 · 4 pages, 2 figures; some minor corrections; reference added
arxiv created 2009/03/25 · arxiv updated 2009/12/01
We show that in general a spacetime having a quantum group symmetry has also a scale dependent fractal dimension which deviates from its classical value at short scales, a phenomenon that resembles what observed in some approaches to quantum gravity. In particular we analyze the cases of a quantum sphere and of \k-Minkowski, the latter being relevant in the context of quantum gravity.