Quantum Foam and de Sitter-Like Universe
- Cite this article as:
- Zizzi, P.A. International Journal of Theoretical Physics (1999) 38: 2333. doi:10.1023/A:1026675702309
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We perform a foliation of a four-dimensionalRiemannian space-time with respect to a discrete timewhich is an integer multiple of the Planck time. We findthat the quantum fluctuations of the metric have a discrete energy spectrum. The metric field isexpanded in stationary eigenstates, and this leads tothe description of a de Sitter-like universe. At thePlanck scale the model describes a Planckian Euclidean black hole.