Related papers: Relativistic wave--particle duality for spinors

Relativistic wave--particle duality for spinors

URL: http://arxiv.org/abs/2101.04212v1
Date: Mon, 11 Jan 2021 22:06:27 GMT
Title: Relativistic wave--particle duality for spinors
Authors: Nikodem Pop{\l}awski
Abstract summary: relativistic wave--particle duality can be embodied in a relation $langle uirangle=barpsigammaipsi/barpsipsi$. We use the Einstein-Cartan theory of gravity with torsion, which incorporates the spin-orbit interaction in curved spacetime.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We propose that relativistic wave--particle duality can be embodied in a relation $\langle u^i\rangle=\bar{\psi}\gamma^i\psi/\bar{\psi}\psi$, which determines the mean four-velocity of the fermion particle associated with a Dirac wave function. We use the Einstein--Cartan theory of gravity with torsion, which incorporates the spin-orbit interaction in curved spacetime. This relation is satisfied by a spinor plane wave and it is consistent with the energy-momentum tensor for particles. We suggest that spacetime guides the evolution of a wave function, that in turn guides the mean motion of the associated particle. Consequently, spacetime guides the motion of particles. The exact motion is limited by the uncertainty principle.

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