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Dirac field, van der Waals gas, Weyssenhoff fluid, Newton particle
Version 1
: Received: 19 February 2024 / Approved: 20 February 2024 / Online: 20 February 2024 (13:35:36 CET)
A peer-reviewed article of this Preprint also exists.
Fabbri, L. Dirac Field, van der Waals Gas, Weyssenhoff Fluid, and Newton Particle. Foundations 2024, 4, 134-145. Fabbri, L. Dirac Field, van der Waals Gas, Weyssenhoff Fluid, and Newton Particle. Foundations 2024, 4, 134-145.
Abstract
We consider the Dirac field in polar formulation, showing that when torsion is taken in effective approximation the theory has the thermodynamic properties of a van der Waals gas, that when the limit of zero chiral angle is taken the theory reduces to that of a Weyssenhoff fluid, and that under the spinless condition it gives the Newtonian particle. This nesting of approximations will allow us to interpret the various objects pertaining to the spinor, with torsion providing a form of negative pressure, and the chiral angle being related to a type of internal dynamics.
Keywords
Dirac spinor; polar form; effective approximation; thermodynamics; non-relativistic limit; classical limit
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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