Mean Field Approach to the Giant Wormhole Problem

TL;DR

This paper models wormhole distributions using a Gaussian density and employs a mean-field approximation to analyze their behavior, revealing that large wormholes are unlikely in a homogeneous isotropic universe.

Contribution

It introduces a Gaussian probability model for wormhole distributions and applies a mean-field approach to study their large-scale behavior.

Findings

Giant wormholes are probabilistically suppressed in a large, homogeneous universe.

The Gaussian model effectively accounts for wormhole interactions.

Mean-field approximation provides insights into wormhole size distribution.

Abstract

We introduce a gaussian probability density for the space-time distribution of wormholes, thus taking effectively into account wormhole interaction. Using a mean-field approximation for the free energy, we show that giant wormholes are probabilistically suppressed in a homogenous isotropic ``large'' universe.