A nonlinear field equation for the simultaneous treatment of the dynamics of charge and matter

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Author/Creator ORCID

Date

1999

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Citation of Original Publication

Tyler, Robert H. "A nonlinear field equation for the simultaneous treatement of the dynamics of charge and matter." Annales de la Fondation Louis de Broglie 24 (1999): 5–23. https://fondationlouisdebroglie.org/AFLB-241/aflb241p005.htm.

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Abstract

We propose a theory whereby the dynamics of mass and charge are described simultaneously in a simple 4-tensor equation describing the conservation of potential flux in its own flow field. We show how this equation can be expanded into a set of four first-order non-linear equations, and how under appropriate limits these equations reproduce the conventional equations for electrodynamics, mass (inertial) dynamics, and the equation of motion for an idealized charged massive particle in a specified electromagnetic field.