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

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 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.

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

References in corpus (2)

• Area spectrum and quasinormal modes of black holes
• Comparison of area spectra in loop quantum gravity

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• Quantum gravity without vacuum dispersion
• Holographic Shell Model: Stack Data Structure inside Black Holes
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• Renormalizing Spacetime
• Remarks on the black hole entropy and Hawking spectrum in Loop Quantum Gravity
• Barbero-Immirzi parameter in Regge calculus