On black hole spectroscopy via quantum tunneling

الأصل · EN

In recent work [Quantum tunneling and black hole spectroscopy, Phys. Lett. B686 (2010) 279, arXiv:0907.4271, by Banerjee et al.], it has been shown, in the tunneling mechanism, the area spacing parameter of a black hole horizon is given by γ=4. In this paper, by carefully analyzing the tunneling process of the black hole radiation, we interestingly find that the most qualified candidate for a universal area gap in the tunneling mechanism is γ=8π. First, we develop the Banerjee's treatment and the Kunstatter's conjecture to revisit the black hole spectroscopy via quantum tunneling, and find for a real tunneling process, the area spacing parameter is given by the possible value γ≥ 4. That is, the previous model-dependent area spacing parameters, i.e. γ=8π, 4 3, 4, are all possible in the tunneling mechanism. Finally, some discussions are followed to find, in the tunneling mechanism, γ=8π is the most qualified candidate for a universal area spacing parameter.