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Proceedings Paper

A convergence: special relativity, zitterbewegung, and new models for the subcomponent structure of quantum particles
Author(s): Michael J. Mobley
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Paper Abstract

Hestenes has presented an integration of Schrödinger's zitterbewegung with the spin matrices of the Dirac equation, suggesting the electron can be modeled by a rapidly rotating dipole moment and a frequency related to the de Broglie frequency. He presents an elegant spacetime algebra that provides a reformulation of the Dirac equation that incorporates these real spin characteristics. A similar heuristic model for quantum particles has been derived by this author from a different, quasi-classical premise: That the most fundamental subcomponents of quantum particles all travel at a constant speed of light. Time is equated with the spatial displacement of these subcomponents – the speed of light is the speed of time. This approach suggests a means of integrating special relativity and quantum mechanics with the same concept of time. The relativistic transformation of spinning quantum particles create the appearance of additional, compactified spatial dimensions that can be correlated with the complex phase of the spin matrices as in the Dirac formalism. This paper further examines the convergence on such new models for quantum particles built on this rapid motion of particle subcomponents. The modeling leverages a string-like heuristic for particle subcomponents and a revised description for the wave-like properties of particles. This examination provides useful insights to the real spatial geometries and interactions of electrons and photons.

Paper Details

Date Published: 10 September 2015
PDF: 13 pages
Proc. SPIE 9570, The Nature of Light: What are Photons? VI, 957003 (10 September 2015); doi: 10.1117/12.2186369
Show Author Affiliations
Michael J. Mobley, Grand Canyon Univ. (United States)
Arizona State Univ. (United States)

Published in SPIE Proceedings Vol. 9570:
The Nature of Light: What are Photons? VI
Chandrasekhar Roychoudhuri; Al F. Kracklauer; Hans De Raedt, Editor(s)

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