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Canonical Quantization of Gravitating Point Particles in 2+1 Dimensions

Gerard 't Hooft

gr-qcarXiv:gr-qc/9305008

Abstract

A formalism previously introduced by the author using tesselated Cauchy surfaces is applied to define a quantized version of gravitating point particles in 2+1 dimensions. We observe that this is the first model whose quantum version automatically discretizes time. But also spacelike distances are discretized in a very special way.

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