Noncommutative Cosmology

TL;DR

This paper explores noncommutative geometry in cosmology, linking large number coincidences to Landau problem analogies, and discusses implications for quantum gravity and the cosmological constant problem.

Contribution

It introduces a toy model demonstrating noncommutativity between gravitational and matter degrees of freedom in cosmology.

Findings

Large number coincidence interpreted as a filling factor in Landau problem

Noncommutativity of gravitational and matter degrees of freedom proposed

Implications for semiclassical quantum gravity and cosmological constant problem

Abstract

We show that the cosmological large number coincidence can be interpreted as giving the filling factor in a Landau problem. The analogy with the Landau problem leads naturally to the noncommutativity of the gravitational and matter degrees of freedom. We present a toy model that supports this view. We discuss some of the physical consequences this noncommutativity implies, like a different insight into the semiclassical approximation of quantum gravity and a different tackling of the cosmological constant problem.