International Journal of Theoretical Physics

, Volume 38, Issue 9, pp 2333-2348

Quantum Foam and de Sitter-Like Universe

  • P. A. Zizzi

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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.