Spectrum of quantized black hole, correspondence principle, and holographic bound

Details Spectrum of quantized black hole, correspondence principle, and holographic bound Spectrum of quantized black hole, correspondence principle, and holographic bound

2004-04-20

arxiv.org/abs/gr-qc/0404083v2

J.Exp.Theor.Phys.:99:460-465,2004; Zh.Eksp.Teor.Fiz.126:527,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages; a minor remark, due to misunderstanding, is deleted

Scientific paper

10.1134/1.1809672

An equidistant spectrum of the horizon area of a quantized black hole does not follow from the correspondence principle or from general statistical arguments. On the other hand, such a spectrum obtained in loop quantum gravity (LQG) either does not comply with the holographic bound, or demands a special choice of the Barbero-Immirzi parameter for the horizon surface, distinct from its value for other quantized surfaces. The problem of distinguishability of edges in LQG is discussed, with the following conclusion. Only under the assumption of partial distinguishability of the edges, the microcanonical entropy of a black hole can be made both proportional to the horizon area and satisfying the holographic bound.

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