The geometro-hydrodynamical formalism of quantum spinning particle

TL;DR

This paper develops a geometro-hydrodynamical formalism for quantum spinning particles, modeling spin as a physical field influencing particle dynamics through vortical flows and intrinsic forces.

Contribution

It introduces a novel formalism that treats spin as a propagating physical field affecting quantum particles, extending traditional quantum mechanics frameworks.

Findings

Derivation of the physical effects of the spin-induced field.

Description of vortical flows associated with spin.

Proposal of a new perspective on spin as a physical field.

Abstract

We present the development of the realistic geometro-hydrodynamical formalism of quantum mechanics for the spinning particle, that involves the vortical flows and is based on the idea, that the spinor wave represents a new type of physical field, propagating in space-time and influencing the corpuscule embedded in the wave. We assume that this new field created by the intrinsic spin of the particle and can produce new intrinsic forces and torques affecting the particle with spin. We derive and discuss physical effects of this field.