Article
Version 1
This version is not peer-reviewed
Dirac Theory as Relativistic Flow Theory
Version 1
: Received: 22 July 2024 / Approved: 23 July 2024 / Online: 23 July 2024 (13:24:47 CEST)
How to cite: Yahalom, A. Dirac Theory as Relativistic Flow Theory. Preprints 2024, 2024071779. https://doi.org/10.20944/preprints202407.1779.v1 Yahalom, A. Dirac Theory as Relativistic Flow Theory. Preprints 2024, 2024071779. https://doi.org/10.20944/preprints202407.1779.v1
Abstract
In previous papers we have shown how Schr\"{o}dinger'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 drived 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; Relativistic Fluid Dynamics; Relativistic Quantum Mechanics
Subject
Physical Sciences, Quantum Science and Technology
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.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
