Superfluid vacuum theory and deformed dispersion relations

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.

3 pages, 1 figure, based on the talk given at the Tenth Alexander Friedmann International Seminar on Gravitation and Cosmology, Saint Petersburg, 24-28 June 2019

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• Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions
• Galaxy rotation curves in superfluid vacuum theory
• On asymptotic behaviour of galactic rotation curves in superfluid vacuum theory
• The K-essence flow seen from the preferred frame $S_V$. A scalar field theory with Landau superfluid structure