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

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).

14 pages, 2 figures

References in corpus (4)

• Jet Launching Structure Resolved Near the Supermassive Black Hole in M87
• A Note on the Lower Bound of Black Hole Area Change in Tunneling Formalism
• Inherent Holography In Fuzzy Spaces and An N-tropic Approach To The Cosmological Constant Problem
• Quantum Gravity coupled to Matter via Noncommutative Geometry