Hydrodynamics of the Physical Vacuum: I. Scalar quantum sector

TL;DR

This paper models the physical vacuum as a superfluid medium using modified Navier-Stokes equations, which can be reduced to the Schrödinger equation, linking fluid dynamics with quantum behavior.

Contribution

It introduces a novel modification to the Navier-Stokes equation that accounts for quantum effects in the vacuum, bridging fluid dynamics and quantum mechanics.

Findings

Navier-Stokes equation can be reduced to Schrödinger equation

Vacuum behaves like a superfluid with virtual particle pairs

Modified equations describe quantum particle behavior in vacuum

Abstract

Physical vacuum is a special superfluid medium. Its motion is described by the Navier-Stokes equation having two slightly modified terms that relate to internal forces. They are the pressure gradient and the dissipation force because of viscosity. The modifications are as follows: (a) the pressure gradient contains an added term describing the pressure multiplied by the entropy gradient; (b) time-averaged viscosity is zero, but its variance is not zero. Owing to these modifications, the Navier-Stokes equation can be reduced to the Schrodinger equation describing behavior of a particle into the vacuum, which looks like a superfluid medium populated by enormous amount of virtual particle-antiparticle pairs.