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arXiv · 0811.1396

Fractal properties of quantum spacetime

Dario Benedetti
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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 $\k$-Minkowski, the latter being relevant in the context of quantum gravity.

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Dario Benedetti. 2009-03-25. Fractal properties of quantum spacetime. https://doi.org/10.1103/physrevlett.102.111303

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