Fractal properties of quantum spacetime

Details Fractal properties of quantum spacetime Fractal properties of quantum spacetime

2008-11-10

arxiv.org/abs/0811.1396v2

Phys.Rev.Lett.102:111303,2009

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 2 figures; some minor corrections; reference added

Scientific paper

10.1103/PhysRevLett.102.111303

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.

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