Physical vacuum is a special superfluid medium

TL;DR

This paper proposes that the physical vacuum behaves as a superfluid medium, with modified Navier-Stokes equations linking fluid dynamics to quantum phenomena like vortex stability and Zitterbewegung.

Contribution

It introduces a modified Navier-Stokes framework that reduces to the Schrödinger equation, explaining vacuum behavior and vortex phenomena as superfluid properties.

Findings

Vortex structures in vacuum have infinite lifespan due to zero average viscosity.

Vortex radius fluctuates around an average, explaining Zitterbewegung.

Vacuum vortices have long-lived cores with zero velocity.

Abstract

The Navier-Stokes equation contains two terms which have been subjected to slight modification: (a) the viscosity term depends of time (the viscosity in average on time is zero, but its variance is non-zero), (b) the pressure gradient contains an added term describing the quantum entropy gradient multiplied by the pressure. Owing to these modifications, the Navier-Stokes equation can be reduced to the Schr\"odinger equation describing behavior of a particle into the vacuum being as a superfluid medium. Vortex structures arising in this medium show infinitely long life owing to zeroth average viscosity. The non-zero variance describes exchange of the vortex energy with zero-point energy of the vacuum. Radius of the vortex trembles around some average value. This observation sheds the light to the Zitterbewegung phenomenon. The long-lived vortex has a non-zero core where the vortex velocity vanishes.