A note on the fuzzy sphere area spectrum, black hole luminosity, and the quantum nature of spacetime

TL;DR

This paper investigates how non-commutative geometry modifies the area spectrum of fuzzy spheres and predicts quantum gravity effects on black hole luminosity, which could be tested in collider experiments.

Contribution

It derives non-commutative corrections to the fuzzy sphere area and explores their implications for black hole luminosity deviations due to quantum gravity effects.

Findings

Non-commutative corrections alter the fuzzy sphere area spectrum.

Quantum gravity deviations affect black hole luminosity.

Potential experimental verification at the LHC.

Abstract

Non-commutative corrections to the classical expression for the fuzzy sphere area are found out through the asymptotic expansion for its heat kernel trace. As an important consequence, some quantum gravity deviations in the luminosity of black holes must appear. We calculate these deviations for a static, spherically symmetric, black-hole with a horizon modeled by a fuzzy sphere. The results obtained could be verified through the radiation of black holes formed in the Large Hadron Collider (LHC).