A note on the analogy between superfluids and cosmology
A. Naddeo, G. Scelza

TL;DR
This paper presents a novel analogy between superfluid systems and cosmology, demonstrating how thermal phonons induce hydrodynamical equations similar to those in an expanding universe, highlighting the back-reaction of the vacuum.
Contribution
It introduces a new analogy based on the back-reaction of the vacuum to sound quanta, linking superfluid dynamics to cosmological models in a formal and insightful way.
Findings
Thermal phonons enable derivation of cosmology-like hydrodynamical equations.
The analogy relies on the back-reaction of the vacuum to sound excitations.
The equations resemble those of a perfect fluid in FRW cosmology.
Abstract
A new analogy between superfluid systems and cosmology is here presented, which relies strongly on the following ingredient: the back-reaction of the vacuum to the quanta of sound waves. We show how the presence of thermal phonons, the excitations above the quantum vacuum for , enable us to deduce an hydrodynamical equation formally similar to the one obtained for a perfect fluid in a Universe obeying the Friedmann-Robertson-Walker metric.
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