Geometry of the quantum universe

TL;DR

This paper investigates the geometric properties of quantum universes modeled as de Sitter-like spaces within the causal dynamical triangulation framework, analyzing how their geometry depends on the theory's fundamental parameters.

Contribution

It provides a detailed analysis of the geometry of quantum universes in CDT and how they vary with the bare coupling constants, offering insights into quantum gravity models.

Findings

Universes resemble Euclidean de Sitter space.

Geometry varies with coupling constants.

Insights into quantum gravity structure.

Abstract

A universe much like the (Euclidean) de Sitter space-time appears as background geometry in the causal dynamical triangulation (CDT) regularization of quantum gravity. We study the geometry of such universes which appear in the path integral as a function of the bare coupling constants of the theory.