Quantization of $D$-dimensional noncommutative black holes

TL;DR

This paper explores the quantization of higher-dimensional noncommutative black holes, deriving discrete mass spectra and discussing implications for quantum gravity detection at colliders.

Contribution

It introduces quantization rules for noncommutative black holes in higher dimensions and compares discrete spectra with continuous ones in the context of holography.

Findings

Minimum black hole mass is very large due to noncommutative geometry

Discrete spectra have larger minimum masses than continuous spectra

Current LHC results cannot exclude quantum gravity in higher dimensions

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.