Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-08-29
Int.J.Theor.Phys. 38 (1999) 2333-2348
Physics
High Energy Physics
High Energy Physics - Theory
16 pages HTML
Scientific paper
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.
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