This is the latest version of my paper on the magnetic force between Dirac particles due to the zitterbewegung, which as of this writing is version 8 and was posted late last week. This version is more successful in getting the de Broglie wavelength exactly as a modulation of the magnetic force for both non-radial and radial relative motion between Dirac particles.
The new version solves the problem of getting a modulation that had a wavelength of half the de Broglie wavelength for radial relative motion. It also corrects a mistake of the previous two versions, and in what was sent to Foundations of Physics as a requested revision (which was similar to arxiv version 6). I overlooked the time dependence of the interparticle separation in deriving the preferred velocity and its relationship to the Bohr velocity. The new version recovers the idea that there is a preferred radial velocity where the advanced magnetic force will cancel the retarded magnetic force, but it is not completely satisfying in that it requires spiral motion.
After I posted the new version to arxiv, I sent the journal an email to let them know in particular about the error in what I sent them. I'd only realized I'd made the mistake about five days previously. I haven't heard anything back yet about how they want to handle it, or if they're still interested, but it has only been a couple of days. Meanwhile, the status is still "under review".
1 hour ago