1998/08/29 by P. A. Zizzi
Physics and Astronomy · #hep-th
published as Int.J.Theor.Phys. 38 (1999) 2333-2348 · 16 pages HTML
arxiv created 1998/08/29 · arxiv updated 2009/11/30
We perform a foliation of a four dimensional Riemannian space-time with respect to a discrete time which is an integer multiple of the Planck time. We find that the quantum fluctuations of the metric have a discrete energy spectrum. The metric field is expanded in stationary eigenstates, and this leads to the description of a de Sitter-like universe. At the Planck scale the model describes a Planckian Euclidean black hole.