A coherent approach to Spacetime Foam

TL;DR

This paper models spacetime foam as a superposition of Schwarzschild wormholes, calculates the Casimir energy, and explores alternative models with Schwarzschild-Anti-de Sitter wormholes, proposing a conjecture on foam evolution.

Contribution

It introduces a coherent superposition model for spacetime foam and calculates its Casimir energy using variational methods, also considering alternative wormhole configurations.

Findings

Casimir energy calculated for the superposition model

Proposal of an alternative foam model with Schwarzschild-Anti-de Sitter wormholes

Conjecture on the evolution of spacetime foam

Abstract

A coherent superposition of N Schwarzschild wormholes is proposed as a model for spacetime foam. Following the subtraction procedure for manifolds with boundaries, we calculate by variational methods the Casimir energy. A proposal for an alternative foamy model formed by N Schwarzschild-Anti-de Sitter wormholes is here considered. Finally, a conjecture about the foam evolution is proposed.