Microscopic Black Hole Pairs in Highly-Excited States
J. Makela, P. Repo
Abstract
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 1022 eV.
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