de Broglie-Bohm formulation of Dirac fields

Abstract

We present the theory of Dirac spinors in the formulation given by Bohm on the idea of de Broglie: the quantum relativistic matter field is equivalently re-written as a special type of classical fluid and in this formulation it is shown how a relativistic environment can host the non-local aspects of the above-mentioned hidden-variables theory. Sketches for extensions are given at last.

9 pages --- this preprint has been accepted for publication in the Topical Collection on the de Broglie-Bohm theory in Foundations of Physics: its Version of Record can be found at https://link.springer.com/collections/bjjghiiicb

References in corpus (4)

• The Free Will Theorem
• Weyl and Majorana Spinors as Pure Goldstone Bosons
• Polar solutions with tensorial connection of the spinor equation
• Goldstone states as non-local hidden variables

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• Mechanical form factors and densities of non-relativistic fermions
• Dirac hydrodynamics in 19 forms
• Torsionally-Induced Stability in Spinors
• Euler and Pontryagin currents of the Dirac operator
• Hydrodynamic Analog of the Klein Paradox: Vacuum Instability and Pair Production in a Linear Elastic Medium
• A solution of the quantum time of arrival problem via mathematical probability theory