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arXiv · gr-qc/0103085

The 2+1 Kepler Problem and Its Quantization

Jorma Louko·Hans-Juergen Matschull
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Abstract

We study a system of two pointlike particles coupled to three dimensional Einstein gravity. The reduced phase space can be considered as a deformed version of the phase space of two special-relativistic point particles in the centre of mass frame. When the system is quantized, we find some possibly general effects of quantum gravity, such as a minimal distances and a foaminess of the spacetime at the order of the Planck length. We also obtain a quantization of geometry, which restricts the possible asymptotic geometries of the universe.

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Jorma Louko, Hans-Juergen Matschull. 2001-03-23. The 2+1 Kepler Problem and Its Quantization. https://doi.org/10.1088/0264-9381%2F18%2F14%2F310

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