The Isotopic Field-Charge Assumption Applied to the Electromagnetic Interaction

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 fieldcharges 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 semiclassical approximation the model provides the original Dirac equation, and at significantly relativistic velocities it approaches to the Schrödinger 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). A J J A J A what demonstrates an analogy with our formula derived in [22] based on the findings in this paper. Note also that the potential (Coulomb) charges behave like corpuscles, while the kinetic (Lorentz type) charges like waves [16]. This complementary double behaviour (formulated first by Bohr in 1927, then discussed in 1937 [5]) became subject of studies again (cf., [41]).

Electromagnetic Interaction in the Presence of Isotopic Field-Charges and a Kinetic Field

“…This paper extends the field theoretic model of the electromagnetic interaction started in [17] (cf., footnote 1 in [17]). To remember, [17] introduced the isotopic electric charges in the classical Maxwell EM theory and showed that -applied in itself alone -the presence of isotopic electric charges would destroy the Lorentz invariance of the Maxwell theory. To restore the broken invariance, we applied the conservation of the isotopic field-charge spin, proven in [10], so that the two transformations executed together ensure the invariance and save the physical relevance of our theory.…”

“…Thus, one way or another, I think that quantum field theory is going to go on being very stubborn, refusing to allow us to describe all but a small number of possible worlds, among which, we hope, is ours." The above paper (together with [17]) attempted "another" way to present a predicted "possibility".…”

“…As we saw in [17], the last term can be disregarded, since according to our simplifying assumption Di and D4 commute with each other. So can one do with grad D4 which is 0.…”

“…In similar like we obtained the elements of the field tensor for the EM field from the terms in the second line in (1) of [17], we can determine the elements of the kinetic field tensor from Eqs. (11)-(11b) of [17]. For this reason, we will use the expressions defined for M D and N D that denote the two components of the field strengths of the field's kinetic…”

“…Similar to the classical EM model (cf., section 3 in [17]), in the presence of isotopic electric charges and a kinetic field the Lorentz force can be written in the following form:…”