Quantum Black Holes: the Event Horizon as a Fuzzy Sphere

Details Quantum Black Holes: the Event Horizon as a Fuzzy Sphere Quantum Black Holes: the Event Horizon as a Fuzzy Sphere

2004-09-29

arxiv.org/abs/hep-th/0409299v4

JHEP0502:008,2005

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, typeset in LaTeX; an error corrected, and abstract modified accordingly, some new references added

Scientific paper

10.1088/1126-6708/2005/02/008

Modeling the event horizon of a black hole by a fuzzy sphere it is shown that in the classical limit, for large astrophysical black-holes, the event horizon looks locally like a non-commutative plane with non-commutative parameter dictated by the Planck length. Some suggestions in the literature concerning black hole mass spectra are used to derive a formula for the mass spectrum of quantum black holes in terms of four integers which define the area, angular momentum, electric and magnetic charge of the black hole. We also suggest how the classical bounds on extremal black holes might be modified in the quantum theory.

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