Spectrum of a quantized black hole,correspondence principle,and holographic bound |
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Authors: | I B Khriplovich |
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Institution: | (1) Budker Institute of Nuclear Physics, Novosibirsk, 630090, Russia;(2) Novosibirsk University, Novosibirsk, 630090, Russia |
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Abstract: | 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 requires 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 the edges in LQG is discussed, with the following conclusion: Only under the assumption of partial distinguishability of the edges can the microcanonical entropy of a black hole be made both proportional to the horizon area and satisfying the holographic bound. |
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