Malcolm,
I looked at the vixra article, "Electron as Magnetic Monopole". An electron has a substantially different structure than a propagated electric or magnetic field. Electrons have been measured to have "mass", which means it has a mechanism that allows masses to be attracted to each other. An EM field does not have mass. I do not equate a photon to be anything like an electron, even though they both may have some field characteristics that are precisely equivalent.
Propagated magnetic monopoles, N & S, and electric fields, & -, are described by Maxwell's equations. EM fields can be attracted to each other, but this is explained by classical physics. See link in my initial reply. Even though the physical size of the EM field is described by the classic formula c=f*lambda, the transverse EM fields have an influence, in the direction of the field vector, that extends beyond those dimensions, and the "force" of this influence, on another similar EM field vector on the same axis, can be described by Coulomb's Law.
I stated in a reply to another essay that the "vacuum of space" must have the ideal ratio of permittivity to permeability to allow near loss-less propagation of EM fields. This is somewhat like the condition that allow waves to propagate as solitons. EM solitons are exploited in optical fibre cables, where an element of the EM field has been modified to have a longitudinal component.
Your explanation of "one", top of page 2, is interesting. If you read the IEEE reference cited in my essay, topic 1294, the concept of a unit value of arbitrary length is a core feature of the "methodology." I translated the unit length (intrinsic unit) into the familiar size defined by SI, which revealed the basic unit length is directly related to a very familiar EM wavelength. I believe the mathematics are telling us something that I could not state in the paper.
You are attempting to identify the mathematical structures that best fit particular physical law characteristics. When you find the proper mathematical structure, and you apply the proper basic "unit value(s)" for that structure, you will have found one of the "mathematical entities" that reveal a basic truth about our physical existence. The geometric structure in the methodology concept, which is defined by mathematical constants, is "one" such mathematical structure.
