Dynamical Dark Energy and Infinite Statistics

TL;DR

This paper explores how quantum gravity's infrared-ultraviolet mixing leads to infinite statistics, providing a dynamic model for dark energy that varies with redshift, contrasting the traditional constant cosmological constant.

Contribution

It introduces a novel approach linking infinite statistics from quantum gravity to dynamical dark energy models, deriving a redshift-dependent cosmological constant.

Findings

Derives a form of $5$ as a function of redshift.

Shows how IR and UV cutoffs influence dark energy behavior.

Connects infinite statistics with non-locality in quantum gravity.

Abstract

In the $\Lambda$CDM model, dark energy is viewed as a constant vacuum energy density, the cosmological constant in the Einstein--Hilbert action. This assumption can be relaxed in various models that introduce a dynamical dark energy. In this letter, we argue that the mixing between infrared and ultraviolet degrees of freedom in quantum gravity lead to infinite statistics, the unique statistics consistent with Lorentz invariance in the presence of non-locality, and yield a fine structure for dark energy. Introducing IR and UV cutoffs into the quantum gravity action, we deduce the form of $\Lambda$ as a function of redshift and translate this to the behavior of the Hubble parameter.