Title

Black hole state counting in loop quantum gravity: A number-theoretical approach

Document Type

Article

Publication Date

5-27-2008

Abstract

We give an efficient method, combining number-theoretic and combinatorial ideas, to exactly compute black hole entropy in the framework of loop quantum gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including degeneracies, and explicitly determine the number of solutions to the projection constraint. We use a computer implementation of the proposed algorithm to confirm and extend previous results on the detailed structure of the black hole degeneracy spectrum. © 2008 The American Physical Society.

Publication Source (Journal or Book title)

Physical Review Letters

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