Canonical quantization of gravitating point particles in 2+1 dimensions

@article{Hooft1993CanonicalQO,
  title={Canonical quantization of gravitating point particles in 2+1 dimensions},
  author={Gerard 't Hooft},
  journal={Classical and Quantum Gravity},
  year={1993},
  volume={10},
  pages={1653-1664}
}
  • G. Hooft
  • Published 10 May 1993
  • Physics
  • Classical and Quantum Gravity
A finite number of gravitating point particles in 2+1 dimensions may close the universe they are in. A formalism previously introduced by the author using tessellated Cauchy surfaces is applied to define a quantized version of this model. Special emphasis is put on unitarity and uniqueness of the evolution operator and on the physical interpretation of the model. As far as the author knows this is the first model whose quantum version automatically discretizes time. Also spacelike distances are… 
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TLDR
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