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Microscopic Black Hole Pairs in Highly-Excited States

J. Makela·P. Repo
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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 $10^{22}$ eV.

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J. Makela, P. Repo. 2000-06-20. Microscopic Black Hole Pairs in Highly-Excited States. https://doi.org/10.1088/0264-9381%2F18%2F3%2F302

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