Baby Universes Revisited

TL;DR

This paper revisits the behavior of baby universes in two-dimensional quantum gravity models, refining previous conjectures and providing numerical evidence for the improved scaling behavior of genus-$g$ surfaces with baby universe necks.

Contribution

It amends and tests a refined conjecture on the scaling behavior of baby universes in dynamical triangulations models of quantum gravity.

Findings

Confirmed the improved conjecture through numerical simulations

Provided new insights into the scaling behavior of genus-$g$ surfaces

Enhanced understanding of baby universe structures in quantum gravity

Abstract

The behaviour of baby universes has been an important ingredient in understanding and quantifying non-critical string theory or, equivalently, models of two-dimensional Euclidean quantum gravity coupled to matter. Within a regularized description based on dynamical triangulations, we amend an earlier conjecture by Jain and Mathur on the scaling behaviour of genus-$g$ surfaces containing particular baby universe `necks', and perform a nontrivial numerical check on our improved conjecture.