Black Hole Area Quantization rule from Black Hole Mass Fluctuations

Preprint English OPEN
Schiffer, Marcelo (2016)
  • Subject:
    arxiv: General Relativity and Quantum Cosmology | Astrophysics::High Energy Astrophysical Phenomena

We calculate the black hole mass distribution function that follows from the random emission of quanta by Hawking radiation and with this function we calculate the black hole mass fluctuation. From a complete different perspective we regard the black hole as quantum mechanical system with a quantized event horizon area and transition probabilities among the various energy levels and then calculate the mass dispersion. It turns out that there is a perfect agreement between the statistical and the microscopic calculations if and only if the area spectrum is linear. Accordingly, the quantum mechanical properties of the black hole which are supposedly relevant only at Planckian scales do leave an imprint in the black hole mass dispersion at much larger scales where gravity can be dealt classically, as one would expect from the correspondence principle.
  • References (7)

    29π2 hM i2 (eβ − 1)2 [1] Bekenstein JD. (1981) Gravitation, the Quantum and Statistical Physics. In: Y. Ne'eman Y. To Fulfill a Vision: Jerusalem Einstein Centennial Symposium on Gauge Theories and Unification. Addison Wesley, Cambridge, Mass, pp. 42-62.

    [2] Bekenstein JD Statistics of Black Hole Radiance and the Horizon Area Spectrum. Phys. Rev. D91, 124052, (2015).

    [3] S. W. Hawking, Commun. Math Phys. 43, 199 (1975).

    [4] J. D. Bekenstein, Lett. Nuovo Cimento 11, 467 (1974).

    [5] J. D. Bekenstein in Cosmology and Gravitation, M. Novello, , pp. 1-85 d. (Atlantisciences, France 2000) [6] S. Hod, Phys. Rev. Lett. 81, 4293 (1998) ; Y. Kwon and S. Nam' Journal of Physics: Conference Series 462,012040 (2013) . E. Abdalla, K. H. C. Castello-Branco, and A. Lima-Santos, Mod. Phys. Lett. A 18, 1435 (2003).

    [7] Kunstatter G 2003 Phys. Rev. Lett. 90 161301

    [8] O. Dreyer, Phys. Rev. Lett. 90, 081301 (2003)

  • Metrics
    No metrics available
Share - Bookmark