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A Fluid Perspective of Relativistic Quantum Mechanics
Version 1
: Received: 8 October 2023 / Approved: 9 October 2023 / Online: 9 October 2023 (04:33:38 CEST)
A peer-reviewed article of this Preprint also exists.
Yahalom, A. A Fluid Perspective of Relativistic Quantum Mechanics. Entropy 2023, 25, 1497. Yahalom, A. A Fluid Perspective of Relativistic Quantum Mechanics. Entropy 2023, 25, 1497.
Abstract
In previous papers we have shown how Schrödinger’s equation which includes an electromagnetic field interaction can be deduced from a fluid dynamical Lagrangian of a charged potential flow that interacts with an electromagnetic field. The quantum behaviour was derived from Fisher information terms which were added to the classical Lagrangian. It was thus shown that a quantum mechanical system is driven by information and not only electromagnetic fields. This program was applied also to Pauli’s equations by removing the restriction of potential flow and using the Clebsch formalism. Although the analysis was quite successful there were still terms that did not admit interpretation, some of them can be easily traced to the relativistic Dirac theory. Here we repeat the analysis for a relativistic flow, pointing to a new approach for deriving relativistic quantum mechanics.
Keywords
spin; fluid dynamics; electromagnetic interaction
Subject
Physical Sciences, Fluids and Plasmas 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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