Microscopic Black Hole Pairs in Highly-Excited States

Details Microscopic Black Hole Pairs in Highly-Excited States Microscopic Black Hole Pairs in Highly-Excited States

2000-06-20

arxiv.org/abs/gr-qc/0006070v1

Class.Quant.Grav. 18 (2001) 373-394

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 3 figures, uses RevTex

Scientific paper

10.1088/0264-9381/18/3/302

We consider the quantum mechanics of a system consisting of two identical, Planck-size Schwarzschild black holes revolving around their common center of mass. We find that even in a very highly-excited state such a system has very sharp, discrete energy eigenstates, and the system performs very rapid transitions from a one stationary state to another. For instance, when the system is in the 100th excited state, the life times of the energy eigenstates are of the order of $10^{-30}$ s, and the energies of gravitons released in transitions between nearby states are of the order of $10^{22}$ eV.

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