Quantum metric spaces as a model for pregeometry

Details Quantum metric spaces as a model for pregeometry Quantum metric spaces as a model for pregeometry

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45.2033a&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 45, Issue 6, 15 March 1992, pp.2033-2043

Physics

4

Scientific paper

A new arena for the dynamics of spacetime is proposed, in which the basic quantum variable is the two-point distance on a metric space. The scaling dimension (that is, the Kolmogorov capacity) in the neighborhood of each point then defines in a natural way a local concept of dimension. We study our model in the region of parameter space in which the resulting spacetime is not too different from a smooth manifold.

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