Large N wormhole approach to spacetime foam

TL;DR

This paper presents a simple semiclassical model with many wormholes that reproduces Wheeler's conjecture about spacetime foam fluctuations, offering insights into quantum gravity structures.

Contribution

It introduces a model of spacetime foam using multiple wormholes that captures Wheeler's fluctuation behavior in a semiclassical framework.

Findings

Reproduces Wheeler's conjecture on metric fluctuations

Models spacetime foam with N wormholes

Provides a semiclassical approximation approach

Abstract

A simple model of spacetime foam, made by $N$ wormholes in a semiclassical approximation, is taken under examination. We show that the qualitative behaviour of the fluctuation of the metric conjectured by Wheeler is here reproduced.