Quantum Creation of a Universe with Quasi-Hyperbolic Spatial Sections

TL;DR

This paper calculates the probability of universe creation with specific hyperbolic spatial topologies using quantum cosmology path integral methods.

Contribution

It introduces a novel calculation of universe creation probabilities for hyperbolic topologies within quantum cosmology.

Findings

Probability of universe creation with $S^{1}\times T_{g}$ topology computed.

Path integral method applied to hyperbolic spatial sections.

Results suggest certain topologies are more probable in quantum cosmology.

Abstract

We calculate the probability of creation of a universe with space topology $S^{1}\times T_{g}$, where $S^{1}$ is the circle and $T_{g}$ is a compact hyperbolic surface of genus $g\geq 2$. We use the method of path integrals as applied to quantum cosmology.