Black hole area quantization

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, uses MPLA style file (included). Revised version with changes in notation for clarity and consistency. To appear in M

Scientific paper

10.1142/S0217732302007582

It has been argued by several authors that the quantum mechanical spectrum of black hole horizon area must be discrete. This has been confirmed in different formalisms, using different approaches. Here we concentrate on two approaches, the one involving quantization on a reduced phase space of collective coordinates of a Black Hole and the algebraic approach of Bekenstein. We show that for non-rotating, neutral black holes in any spacetime dimension, the approaches are equivalent. We introduce a primary set of operators sufficient for expressing the dynamical variables of both, thus mapping the observables in the two formalisms onto each other. The mapping predicts a Planck size remnant for the black hole.

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