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Canonical Quantization of Gravitating Point Particles in 2+1 Dimensions

Gerard 't Hooft
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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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Gerard 't Hooft. 1993-05-10. Canonical Quantization of Gravitating Point Particles in 2+1 Dimensions. https://doi.org/10.1088/0264-9381%2F10%2F8%2F022

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