Superfluidity as a Tool for Constraining Energy-Momentum Relations

TL;DR

This paper investigates how superfluidity in a Bose-condensed sodium gas can be used to test and constrain possible modifications to energy-momentum relations predicted by quantum gravity theories.

Contribution

It introduces an experimental approach using superfluidity to probe deformed dispersion relations, linking quantum gravity phenomenology with observable superfluid properties.

Findings

Superfluid critical temperature is sensitive to deformed dispersion relations.

Proposed method could set bounds on quantum gravity effects.

Analysis shows measurable shifts in superfluid behavior due to energy-momentum modifications.

Abstract

The present work explores the possibilities that superfluidity could offer in the context of quantum gravity phenomenology, at least in the realm of deformed dispersion relations. The experimental proposal involves a Bose-condensed sodiun gas trapped by an isotropic harmonic oscillator potential. A deformed dispersion relation is considered for the particles of the system and its consequences upon the region of superfluidity are