Quantization of $D$-dimensional noncommutative black holes
Abstract
Noncommutative black holes in higher dimensions are investigated in the context of holographic principle. Quantization rules for the discrete mass spectrum are derived and compared with the continuous spectrum in the literature. Because of the noncommutative nature of background geometry the minimum mass to form a noncommutative black hole is very large (it becomes larger for discrete spectra), so the current LHC search results for mini black holes cannot exclude the possibility of quantum gravity in higher dimensions.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2012
- DOI:
- arXiv:
- arXiv:1210.1692
- Bibcode:
- 2012arXiv1210.1692L
- Keywords:
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- General Relativity and Quantum Cosmology;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 8 pages, 1 table, 1 figure. Comments and references added