Wormholes and Spacetime Foam:. AN Approach to the Cosmological Constant and Entropy

Details Wormholes and Spacetime Foam:. AN Approach to the Cosmological Constant and Entropy Wormholes and Spacetime Foam:. AN Approach to the Cosmological Constant and Entropy

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1444g&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

The term Spacetime Foam was used for the first time by J.A. Wheeler to indicate that spacetime may be subjected to quantum fluctuations in topology and metric at the Planck scale 1. In a series of papers we have proposed a model for such a foamy space made by N coherent Schwarzschild wormholes 2. The relevance of this proposal is based on a Casimir energy computation showing that quantum fluctuations of the gravitational metric shift the minimum of the effective energy from flat space (the classical minimum of the energy) to a multi-wormhole configuration. Indeed the final energy contribution to one loop is Δ N_w E(M) ˜ - Nw2 (V)/({64π 2 )} {Λ 4}/{e}, (1) where V is the volume of the system, Λ is the U.V. cut-off and Nw is the wormholes number2. This expression shows that a non-trivial vacuum of the multi-wormhole type is favoured with respect to flat space. It is important to remark that it is the N - coherent superposition of wormholes that it is privileged with respect to flat space and not the single wormhole, because the single wormhole energy contribution has an imaginary contribution in its spectrum: a clear sign of an instability. Nevertheless the presence of an unstable mode is necessary to have transition from one vacuum (the false one) to the other one (the true vacuum)3...

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