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 minimal distances and 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.
Export citation and abstract BibTeX RIS