Hydrodynamics of the Physical Vacuum: II. Vorticity dynamics

TL;DR

This paper explores the vorticity dynamics in a superfluid-like physical vacuum, revealing long-lived vortex structures that model particles with spin and calculating their magnetic moments.

Contribution

It introduces a modified Navier-Stokes framework for the vacuum, analyzing vortex structures and proposing a topological vortex model for particles with spin.

Findings

Vortex structures have infinite lifetime due to zero average viscosity.

Vortex core features zero orbital speed, with speed peaking at the core wall.

Model predicts the anomalous magnetic moment of the electron.

Abstract

Physical vacuum is a special superfluid medium populated by enormous amount of virtual particle-antiparticle pairs. Its motion is described by the modified Navier-Stokes equation: (a)~the pressure gradient divided by the mass density is replaced by the gradient from the quantum potential; (b)~time-averaged the viscosity vanishes, but its variance is not zero. Vortex structures arising in this medium show infinitely long lifetime owing to zero average viscosity. The nonzero variance is conditioned by exchanging the vortex energy with zero-point vacuum fluctuations. The vortex has a non-zero core where the orbital speed vanishes. The speed reaches a maximal value on the core wall and further it decreases monotonically. The vortex trembles around some average value and possesses by infinite life time. The vortex ball resulting from topological transformation of the vortex ring is considered as a model of a particle with spin. Anomalous magnetic moment of electron is computed.