Rigorous Deduction of the Dynamical Equations for the Persistent Current Electron with g=-2(1+α/2π) by the New Frame in Physics

Abstract

After proposing a new refined physico-mathematical frame for the covariant application of the principle of least action, the principle with the new frame has been applied to the persistent current classical model of the electron, deriving all the basic kinematical equations of the electron. By adopting the quantization procedure of the new frame, these c-number equations transit directly to the Dirac type q-number equations of the electron with g=-2(1+α/2π). The derived equations are delicately different from the currently accepted equations in their highest order accuracy, with definite physical origin for the difference. The Thomas precession and the spin-orbit coupling are analyzed in detail, clarifying the origin of the difference between the expressions in classical physics and in the Dirac Hamiltonian. It has been found that the equation for the precession is almost independent of the contribution of the external vector potencial to the spin angular momentum, S^<μν>, and, if it contributes with a factor, 1/2, the induced change in the model makes the electron spin perfectly diamagnetic, indicating the coexistence of the angular momentum and flux quantizations. The principle of the factor two is proposed at the interface between classical and quantal physics.