Quantization of 2+1 Gravity on the Torus

Details Quantization of 2+1 Gravity on the Torus Quantization of 2+1 Gravity on the Torus

1995-09-22

arxiv.org/abs/gr-qc/9509041v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

TeX file, 11 pages, proceedings of the CAP 95 meeting in Quebec

Scientific paper

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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