Space Time Foam: a ground state candidate for Quantum Gravity

Abstract

A model of space-time foam, made by N wormholes is considered. The Casimir energy leading to such a model is computed by means of the phase shift method which is in agreement with the variational approach used in Refs.[9-14]. The collection of Schwarzschild and Reissner-Nordstr\"om wormholes are separately considered to represent the foam. The Casimir energy shows that the Reissner-Nordstr\"om wormholes cannot be used to represent the foam.

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