Quantization of 2+1 Gravity on the Torus
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
We use the polygon representation of 2+1--dimensional gravity to explicitly carry out the canonical quantization of a universe with the topology of a torus. The mapping-class-invariant wave function for a quantum ''big bounce'', is reminiscent of the interference patterns of linear gratings. We consider the ``problem of time'' of quantum gravity: for one choice of internal time the universe recovers a semiclassical interpretation after the bounce, with a wave packet centered at a single geometry; for another choice of internal time, the quantum solutions involve interference between macroscopically distinct universes.
Cite
@article{arxiv.gr-qc/9509041,
title = {Quantization of 2+1 Gravity on the Torus},
author = {A. Criscuolo and H. Quevedo and H. Waelbroeck},
journal= {arXiv preprint arXiv:gr-qc/9509041},
year = {2007}
}
Comments
TeX file, 11 pages, proceedings of the CAP 95 meeting in Quebec