The Case for Discrete Energy Levels of a Black Hole

Details The Case for Discrete Energy Levels of a Black Hole The Case for Discrete Energy Levels of a Black Hole

2001-07-06

arxiv.org/abs/hep-th/0107045v1

Int.J.Mod.Phys. A17S1 (2002) 21-31

Physics

High Energy Physics

High Energy Physics - Theory

Invited talk at "2001: A Spacetime Odyssey", inaugural conference of the Michigan Center for Theoretical Physics, May 22-25, 2

Scientific paper

The adiabatic invariant nature of black hole horizon area in classical gravity suggests that in quantum theory the corresponding operator has a discrete spectrum. I here develop further an algebraic approach to black hole quantization which starts from very elementary assumptions, and proceeds by exploiting symmetry. It predicts a uniformly spaced area spectrum for all charges and angular momenta. Area eigenvalues are degenerate; correspondence with black hole entropy then dictates a precise value for the interval between eigenvalues.

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