The Isotopic Field-Charge Assumption Applied to the Electromagnetic Interaction

TL;DR

This paper extends the Dirac equation using isotopic field-charge spin theory, revealing how velocity-dependent gauge fields influence electromagnetic interactions and restoring Lorentz invariance through specific transformations.

Contribution

It introduces a modified Dirac equation incorporating isotopic field charges and demonstrates how to preserve Lorentz invariance with new transformations.

Findings

Modified Dirac equation with isotopic charges derived

Lorentz invariance restored via transformation

At relativistic speeds, the model approaches the Schrödinger equation

Abstract

This paper applies the isotopic field-charge spin theory (Darvas, IJTP 2011) to the electromagnetic interaction. First there is derived a modified Dirac equation in the presence of a velocity dependent gauge field and isotopic field charges (namely Coulomb and Lorentz type electric charges, as well as gravitational and inertial masses). This equation is compared with the classical Dirac equation. There is shown that, since the presence of isotopic field-charges would distort the Lorentz invariance of the equation, there is a transformation, which together with the Lorenz transformation restores the invariance of the equation, in accordance with the conservation of the isotopic field-charge spin (Darvas, 2009). The paper discusses the conclusions derived from the extensions of the Dirac equation. It is shown that in semi-classical approximation the model provides the original Dirac equation, and at significantly relativistic velocities it approaches to the Schr\"odinger equation. Among other conclusions, the clue gives physical meaning to the electric moment. The closing section summarises a few further conclusions and shows a few developments to be discussed in detail in a next paper (Darvas, 2013).