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arXiv · gr-qc/9509041

Quantization of 2+1 Gravity on the Torus

A. Criscuolo·H. Quevedo·H. Waelbroeck
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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.

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A. Criscuolo, H. Quevedo, H. Waelbroeck. 1995-09-22. Quantization of 2+1 Gravity on the Torus. https://arxiv.org/abs/gr-qc/9509041

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