Anderson localization and the Planck length as source of disorder

TL;DR

This paper explores how quantum-scale disorder, modeled as fluctuations at the Planck length, could cause Anderson localization effects influencing wave propagation across the universe, indicating a significant cosmological impact.

Contribution

It introduces a model linking Planck-scale fluctuations to cosmological wave localization, highlighting the potential importance of Anderson localization at large scales.

Findings

Power law exponent close to unity between Planck length and universe size

Anderson localization may significantly affect cosmological wave propagation

Disorder at quantum scales influences large-scale wave behavior

Abstract

The role of disorder on wave propagation through the universe is studied. Assuming space fluctuations of the order of the Planck length and the size of the universe as the corresponding localization length for the background radiation, we obtain the exponent (close to unity) in the power law relationship between these quantities. This suggests that the role of Anderson localization is not negligible at cosmological scales.