A Spacetime Foam approach to the cosmological constant and entropy

TL;DR

This paper explores a spacetime foam model with wormholes to analyze quantum fluctuations, examining its effects on entropy and the cosmological constant, providing insights into quantum gravity and cosmology.

Contribution

It introduces a semiclassical spacetime foam model with wormholes and computes its Casimir-like energy and probability, linking quantum fluctuations to entropy and cosmological constant.

Findings

Casimir-like energy of the wormhole model calculated

Probability of spacetime foam configurations estimated

Implications for Bekenstein-Hawking entropy and cosmological constant discussed

Abstract

A simple model of spacetime foam, made by $N$ wormholes in a semiclassical approximation, is taken under examination. 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.