Fractal properties of quantum spacetime.
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 is observed in some approaches to quantum gravity. In particular, we analyze the cases of a quantum sphere and of kappa-Minkowski spacetime, the latter being relevant in the context of quantum gravity.
Benedetti
Dario
D
Perimeter Institute for Theoretical Physics, 31 Caroline Street N, N2L 2Y5, Waterloo ON, Canada. dbenedetti@perimeterinstitute.ca