Quantization of 2+1 Gravity on the Torus
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چکیده
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-classinvariant 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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تاریخ انتشار 1995