I don't get how all these number manipulations are supposed to be connected to the circling-photon theory of elementary particles. One ought to be able to derive the masses of the electron, proton, etc. from the circling-photon theory. But I don't see any such derivations.
That's been a success for mainstream theories of atoms, molecules, nuclei, hadrons, and the W and Z, so why not circling photons?
I think something like
crank magnetism is relevant here. John Duffield's "Relativity+" is not so much a coherent theory as a loose collection of idiosyncratic notions about reality. Though the various components seem related on a superficial level - there are common themes of numerology, waves, relativity and suppression of valuable ideas by the scientific establishment (ETA: and let's not forget the aversion to real mathematics) - the different parts are not truly united or even mutually consistent.
ETA:
Duffield did try to provide a derivation of the electron's mass based on the loopy photon model early on in this thread. It was totally unrelated to Worsley's derivation, and went something like this:
1. Start with a photon of energy 511 keV.
2. This wave - no-one knows how or why - goes around a closed path, a single wavelength being wrapped around twice (destructive interference being avoided by incanting the words "Möbius strip", "torus" and "lemon-shaped pulse" over and over again).
3. The radius of the orbit is therefore 1.93 × 10
-13 m.
4. Charge and magnetic moment are supposede to emerge by saying "torus" and "Möbius strip" some more.
5. You now have a charged particle that looks like an electron.
6. Um, that's it.
Temporarily ignoring the many other problems with this picture, a couple of posters asked why only photons of energy 511 keV could do this special dance. John Duffield was unable to provide a reasonable answer, and was reduced to just asserting that it only worked for a radius of 1.93 × 10
-13 m. It seems all of his "derivations" of particle masses require the measured values of those masses as inputs in some form.