Classical characters of spinor fields in torsion gravity

Abstract

We consider the problem of having relativistic quantum mechanics re-formulated with hydrodynamic variables, and specifically the problem of deriving the Mathisson-Papapetrou-Dixon equations from the Dirac equation. The problem will be answered on a general manifold with torsion and gravity. We will demonstrate that when plane waves are considered the MPD equations acquire the form given in [1], but we will also see that in such a form the MPD equations become trivial.

9 pages

References in corpus (8)

• Violation of Bell's inequality under strict Einstein locality conditions
• A modified theory of gravity with torsion and its applications to cosmology and particle physics
• Multipolar test body equations of motion in generalized gravity theories
• Weyl and Majorana Spinors as Pure Goldstone Bosons
• Fundamental Theory of Torsion Gravity
• Dirac Theory in Hydrodynamic Form
• Dirac hydrodynamics in 19 forms
• General-relativistic wave$-$particle duality with torsion

Cited by in corpus (1)

• Madelung Structure of the Dirac Equation