1998/12/15 by Shahar Hod · 4 citations
Physics and Astronomy · #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevlett.81.4293
published as Phys.Rev.Lett. 81 (1998) 4293 · 10 pages
arxiv created 1998/12/15 · arxiv updated 2009/11/30
During the last twenty-five years evidence has been mounting that a black-hole surface area has a \it discrete spectrum. Moreover, it is widely believed that area eigenvalues are \it uniformally spaced. There is, however, no general agreement on the \it spacing of the levels. In this letter we use Bohr's correspondence principle to provide this missing link. We conclude that the area spacing of a black-hole is 4ℏ ln 3. This is the unique spacing consistent both with the area-entropy \it thermodynamic relation for black holes, with Boltzmann-Einstein formula in \it statistical physics and with \it Bohr's correspondence principle.