Compact phase space, cosmological constant, discrete time

Abstract : We study the quantization of geometry in the presence of a cosmological constant, using a discretiza- tion with constant-curvature simplices. Phase space turns out to be compact and the Hilbert space finite dimensional for each link. Not only the intrinsic, but also the extrinsic geometry turns out to be discrete, pointing to discreetness of time, in addition to space. We work in 2+1 dimensions, but these results may be relevant also for the physical 3+1 case.
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Contributor : Carlo Rovelli <>
Submitted on : Friday, February 24, 2017 - 11:52:24 PM
Last modification on : Thursday, March 15, 2018 - 4:56:08 PM

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  • HAL Id : hal-01476562, version 1
  • ARXIV : 1502.00278

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Carlo Rovelli, Francesca Vidotto. Compact phase space, cosmological constant, discrete time. Physical Review D, American Physical Society, 2016, 91 (8). ⟨hal-01476562⟩

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