Fractal properties of quantum spacetime
High Energy Physics - Theory
2009-04-08 v2
Abstract
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 -Minkowski, the latter being relevant in the context of quantum gravity.
Cite
@article{arxiv.0811.1396,
title = {Fractal properties of quantum spacetime},
author = {Dario Benedetti},
journal= {arXiv preprint arXiv:0811.1396},
year = {2009}
}
Comments
4 pages, 2 figures; some minor corrections; reference added