Quantized open FRW cosmology from Yang-Mills matrix models

TL;DR

This paper introduces matrix model solutions that describe a quantized, homogeneous, and isotropic open universe with a resolved Big Bang, leading to a late-time linear coasting cosmology close to observations.

Contribution

It provides new solutions within IKKT-type matrix models that model a quantized open FRW universe with a resolved Big Bang and late-time linear expansion.

Findings

A quantized open FRW cosmology with $k=-1$ is constructed.

The model predicts a late-time linear coasting universe $a(t) \,\propto\, t$.

The solution features two chiral sheets connected in a pre-big bang era.

Abstract

We present simple solutions of IKKT-type matrix models describing a quantized homogeneous and isotropic cosmology with $k=-1$, finite density of microstates and a resolved Big Bang. At late times, a linear coasting cosmology $a(t) \propto t$ is obtained, which is remarkably close to observation. The solution consists of two sheets with opposite intrinsic chiralities, which are connected in a Euclidean pre-big bang era.