Related papers: The Dirac equation and the Quantum Potential

The Dirac equation and the Quantum Potential

URL: http://arxiv.org/abs/2510.11435v1
Date: Mon, 13 Oct 2025 14:07:12 GMT
Title: The Dirac equation and the Quantum Potential
Authors: Calum Robson,
Abstract summary: I will look at how the quantum potential can be extended to the Dirac equation.<n>I will begin by discussing the geometry of the Dirac equation, and how this is made clearer by the use of Clifford algebras.<n>I will rewrite the Cl(2) Dirac wavefunction in Polar form, and show that new behaviour arises due to topological nonlocality.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: One key theme of Basil Hiley's work was the development of David Bohm's approach to Quantum Mechanics; in particular the concept of the quantum potential. Another theme was the importance of Clifford Algebras in fundamental physics. In this paper I will combine these approaches by looking at how the quantum potential can be extended to the Dirac equation. I will begin by discussing the geometry of the Dirac equation, and how this is made clearer by the use of Clifford algebras .Next, I will rewrite the Cl(2) Dirac wavefunction in Polar form, and show that new behaviour arises due to topological nonlocality. Finally, I discuss the relationship between the Dirac and Schroedinger equations.

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