6533b7d3fe1ef96bd12601fd

RESEARCH PRODUCT

Microscopic black-hole pairs in highly excited states

Pasi RepoJarmo Mäkelä

subject

PhysicsPhysics and Astronomy (miscellaneous)GravitonFOS: Physical sciencesOrder (ring theory)General Relativity and Quantum Cosmology (gr-qc)State (functional analysis)General Relativity and Quantum CosmologyBlack holeQuantum mechanicsExcited stateCenter of massSchwarzschild radiusStationary state

description

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.

https://doi.org/10.1088/0264-9381/18/3/302