Hydrodynamics of Spinning Particles

TL;DR

This paper decomposes the velocity of spinning particles into classical and quantum parts, showing that quantum behavior may originate from internal spin motion, based on the Pauli current and kinetic energy analysis.

Contribution

It introduces a novel decomposition of particle velocity into classical and quantum components, linking quantum potential to internal spin motion.

Findings

Quantum potential arises from internal spin motion.

Quantum behavior may be a consequence of fundamental spin.

Decomposition clarifies classical-quantum transition.

Abstract

In this note, we first obtain the decomposition of the non-relativistic field velocity into the classical part (i.e., the velocity w=p/m OF the center-of-mass (CM), and the so-called quantum part (i.e., the velocity V of the motion IN the CM frame (namely, the internal spin-motion or Zitterbewegung), these two parts being orthogonal. Our starting point is the Pauli current. Then, by inserting such a composite expression of the velocity into the kinetic energy term of the non-relativistic newtonian lagrangian, we get the appearance of the so-called "quantum potential" (which makes the difference between classical and quantum behaviour) as a pure consequence of the internal motion. Such a result carries further evidence about the possibility that the quantum behaviour of micro-systems be a direct consequence of the fundamental existence of spin.