What Casimir Energy can suggest about Space Time Foam?

Abstract

In the context of a model of space-time foam, made by $N$ wormholes we discuss the possibility of having a foam formed by different configurations. An equivalence between Schwarzschild and Schwarzschild-Anti-de Sitter wormholes in terms of Casimir energy is shown. An argument to discriminate which configuration could represent a foamy vacuum coming from Schwarzschild black hole transition frequencies is used. The case of a positive cosmological constant is also discussed. Finally, a discussion involving charged wormholes leads to the conclusion that they cannot be used to represent a ground state of the foamy type.

ReVTeX, 3 pages. Talk given at the Fifth Workshop on Quantum Field Theory under the Influence of External Conditions, Leipzig, September 10-14, 2001

References in corpus (4)

• A Spacetime Foam approach to the cosmological constant and entropy
• Entropy from the foam
• On Quantum Nature of Black-Hole Spacetime: A Possible New Source of Intense Radiation
• Space Time Foam: a ground state candidate for Quantum Gravity

Cited by in corpus (4)

• Casimir Effect confronts Cosmological Constant
• Evaluation of the Casimir Force for a Dielectric-diamagnetic Cylinder with Light Velocity Conservation Condition and the Analogue of Sellmeir's Dispersion Law
• Virtual Black Holes from Generalized Uncertainty Principle and Proton Decay
• Proton Decay and the Quantum Structure of Spacetime