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 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.
| Original language | English |
|---|---|
| Article number | 111303 |
| Journal | Physical Review Letters |
| Volume | 102 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 19 Mar 2009 |
| Externally published | Yes |