Wormholes and Spacetime Foam: an approach to the Cosmological Constant and Entropy

TL;DR

This paper proposes a simple semiclassical model of spacetime foam using multiple Schwarzschild wormholes, calculates its quantum energy, and explores implications for black hole entropy and the cosmological constant, including an alternative model with Anti-de Sitter wormholes.

Contribution

It introduces a novel semiclassical spacetime foam model with multiple wormholes and analyzes its quantum energy and cosmological implications.

Findings

Casimir-like energy of the model is computed.

Probability of foam realization is estimated.

Implications for entropy and cosmological constant are discussed.

Abstract

This paper summarizes the contribution presented at the IX Marcel Grossmann Meeting (Rome, July 2000). A simple model of spacetime foam, made by $N$ Schwarzschild wormholes in a semiclassical approximation, is here proposed. The Casimir-like energy of the quantum fluctuation of such a model and its probability of being realized are computed. Implications on the Bekenstein-Hawking entropy and the cosmological constant are considered. A proposal for an alternative foamy model formed by $N$ Schwarzschild-Anti-de Sitter wormholes is here considered.