Quantized black holes, correspondence principle, and holographic bound

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An equidistant spectrum of the horizon area of a quantized black hole does not follow from the correspondence principle or from general statistical arguments. Such a spectrum obtained earlier in loop quantum gravity (LQG) does not comply with the holographic bound. This bound fixes the Barbero-Immirzi parameter of LQG, and thus leads to the unique result for the spectrum of horizon area.
Plenary talk at Gamov Memorial International Conference, Odessa, Ukraine, August 8-14, 2004; 12 pages; typos in references corrected

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