Electromagnetic field of a rotating closed singular magnetic flux line and of a distribution of those corresponding to a bohr-magneton dipole

Summary

The field lines (Faraday lines) of a magnetic dipole may be understood in terms of a superposition of a manifold (of alternative forms) of closed loops of quantized magnetic flux, in a manner similar to a Feynman probability amplitude super-position of alternative path histories. This manifold represents a statistical distribution over azimuth and size of Faraday field-line loops, corresponding to a density of lines which represents 〈B〉 ∝ μr^-3. It is pointed out that, with μ =eħ/2mc (Bohr magneton), and with the spin being represented by a Zitterbewegung angular velocity 2mc ²/ħ of the entire loop manifold, the magnetic field implies, by the basic relativistic definitionA _μ = (ħc/e)∂_μθ (θ = electromagnetic gauge variable) for quantized flux, also an electric field 〈E〉 ∝er ^-2.