Authors: Osvaldo F. Schilling
The concept of an intrinsic vibrational-rotational motion of the electron( zitterbewegung) has been introduced by Schroedinger, and later developed by Kerson Huang and more recently by A. Barut, among others. These authors listed a series of features that should accompany such motion, although its very existence is usually regarded as merely speculative. In the present paper we investigate the consequences of the existence of this motion as far as measured properties of particles are concerned. A phenomenological model based upon the quantization of a classical vibrating system, in the lines of the old Correspondence Principle of Bohr, is applied to particles to mimic the effect of the zitterbewegung upon measurable dynamic properties like the magnetic energy, and the magnetic moment. Gauge invariance is inevitably imposed in the form of a quatization criterion needed for the passage from the classical to the quantum treatment, which results in the prediction of magnetic flux quantization within the area covered by the vibrations. The calculations are carried out for the electron, and also for the proton and the neutron by considering the electric charges of their constituent quarks. The conclusion is that if the zitterbewegung motion is real, the mass, the magnetic moment, the Compton wavelengths (or the measured sizes for the nucleons) for each of these particles, are gathered together in a single expression which is a function of the number of flux quanta trapped inside their ”orbits”. The theory proposed seems to be the first to produce a relation between the rest mass of particles and the inverse of the constant alpha, which might be associated to the extensive analysis of data for all particles carried out years ago by M. MacGregor. We finish the paper making some remarks on the compatibility of these results with those obtained from first principles by QCD.
Comments: 14 Pages.
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