Superfluid vacuum theory and deformed dispersion relations

TL;DR

This paper explores a superfluid vacuum model that recovers relativity at low energies but predicts modified dispersion relations at high energies, suggesting a photon effective mass and complex behavior at large momenta.

Contribution

It introduces an analytical dispersion relation with Landau 'roton' form within a superfluid vacuum framework, highlighting deviations from standard physics at high energies.

Findings

Dispersion relation becomes relativistic with small deformations at low momenta.

Photon acquires an effective mass in the model.

Complex behavior emerges at large momenta.

Abstract

Using the logarithmic superfluid model of physical vacuum, one can formulate a quantum theory, which successfully recovers Einstein's theory of relativity in low-momenta limit, but otherwise has different foundations and predictions. We present an analytical example of the dispersion relation and argue that it should have a Landau "roton" form which ensures the suppression of dissipative fluctuations. We show that at small momenta, a dispersion relation becomes relativistic with small deformations, such that a photon acquires effective mass, but a much more complex picture arises at large momenta.