Phys. Rev. Lett. 102, 111303 (2009) [4 pages]Fractal Properties of Quantum SpacetimeReceived 22 November 2008; published 19 March 2009 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 κ-Minkowski spacetime, the latter being relevant in the context of quantum gravity. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.111303
DOI:
10.1103/PhysRevLett.102.111303
PACS:
04.60.−m, 02.20.Uw, 02.40.Gh, 05.45.Df
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