Yair Goldin | Searcharxiv

arXiv2004

Theoretical Value of the Electromagnetic Coupling Constant

An insight into bispinor analysis makes it possible to describe the electron in selfaction as a fundamental steady state. The electromagnetic theory, and the Dirac equation for the study of an electron in presence of external potentials, follow as natural extensions of the equations that rule the electron in selfaction. The electromagnetic coupling constant ($α$) and the coupling constant ($β$) of a gauge invariant matrix vector potential are interrelated by the equation that defines the electron structure. Here, two bispinor components carry 1/3 and 2/3 of the physical properties of the electron: electric charge, mass, spin and magnetic moment. These fractions of the electron charge seem to be a feature common to both leptons and hadrons. An eigenvalue equation involving the invariants of the selfpotentials ultimately determines $α$ and $β$.

quant-ph↗

arXiv2003

Covariant description of spin 1/2 particles in self--action

The bispinor wave function finds its fundamental application in the study of electrons, neutrinos and protons as particles bound by their own potentials. Classical electromagnetism and the Dirac electron theory appear to be natural extensions of the physics that rules the electron itself. However, the charge density and the negative energy eigenvalues are two concepts which cannot survive further scrutiny. The electron and the proton resemble minute planetary systems where the bispinor terms defining their physical properties revolve with definite angular momentum around the singular point of the particles' potentials. The mass of the electron--neutrino in relation to the electron's and the mass of the latter in relation to the proton's are determined under particular assumptions. The most important feature of the new approach is the faithful representation of free particles at rest with respect to inertial systems of reference. This certainly enhances the foundation of physics; precisely in the realm of Quantum Mechanics, where the customary description of free electrons is a confusing consequence of the limited scope of the Schrödinger and Dirac equations.

quant-ph↗