New Versions of Three of My Papers

In December I realized I didn't fully describe the zitterbewegung phase of the moving test particle in my Foundations of Physics paper that was published in 2016.  I treated it as pure time dilation, simply dividing time by the Lorentz factor, when I should have done it as a Lorentz transformation, which changes the division to a multiplication and adds an additional term that involves the position and momentum.  So I have made a revision and placed it on arxiv here.

The correction did not negate the conclusions of the paper as published, but it greatly improved the outcome of follow-on work I'd been doing. With the proper treatment of the test zitter particle phase, I was able to obtain for the first time that one factor of the modulation of the radial Coulomb-like magnetic force between zitter particles with aligned spins satisfies a partial differential equation that is quite similar to the time-independent Schroedinger equation.  Essentially, it differs only by factors of four on the potential energy and the energy eigenvalue.  These factors originate in the electron being a spin-half particle, and so it is something of a mystery how de Broglie's reasoning based on the photon led to a correct result. I was actually expecting the energy to be off by a factor of two based on the photon-electron spin difference and on my analysis of the photon as a composite particle, which gives the energy-frequency relation of half the usual. (I have also recently updated that paper, although it turned out to not be directly affected, see here.)

I was very happy to have finally gotten my follow-on to the FOOP paper to arrive at something close to the desired result, but also frustrated that it wasn't as I anticipated.  I spent several weeks staring at it and trying to find a mistake or way around it, but was getting nowhere.  Then, I happened to get an email from a journal requesting submissions that I was not familiar with, so I looked at their latest issue (which is open access) and saw a paper by Osiak that seemed interesting, so I downloaded it. Osiak derives (in part) that the mass-energy equivalency is properly E = mc^2/2 rather than E=mc^2 as  currently accepted.  His argument seemed plausible enough, and since the de Broglie and zitterbewegung frequencies both originate from the equivalency and the spin magnitude, I decided to try using it in my analysis instead of the usual.  It only took a little while to get that the Coulomb-like magnetic force modulation factor satisfies the time-independent Schroedinger equation based on the Osiak form. 

My updated follow-on to the FOOP paper that uses the corrected zitterbewegung phase for a moving particle and has two subsections (IV. d and e) using the Osiak mass-energy equivalency is here:     https://arxiv.org/abs/1609.04446v12.