Compact phase space, cosmological constant, discrete time
General Relativity and Quantum Cosmology
2015-04-22 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1502.00278,
title = {Compact phase space, cosmological constant, discrete time},
author = {Carlo Rovelli and Francesca Vidotto},
journal= {arXiv preprint arXiv:1502.00278},
year = {2015}
}
Comments
6 pages