Completion of the proof of the Pauli exclusion principle from a self-consistent field theory of electrodynamics

Abstract

In a previous paper, it was proven that anecessary condition to yield all of the physical consequences of the Pauli exclusion principle is that the nonlinear, closed set of coupled covariant spinor field equations, whose structure is implied by fully exploiting the principle of relativity, entails two of then coupled particle fields thatA) are in the same state of motion,B) have the same inertial masses andC) have a mutaually repulsive electromagnetic interaction. In this paper, it is shown that conditionsA), B), C) aresufficient to yield the Pauli exclusion principle, within the structure of this field theory—thus completing the proof. The general structure of the interaction field amplitude of the nonlinear spinor field theory is then explored further, and the scattering cross-section in defined in terms of it. It is emphasized that, within this field theory, the elementarity of the (predetermined) «interaction» of a closed system is primary, replacing the elementarity of the (nondeterministic) «particle» of an open system, according to the quantum theory. The influence of the Pauli principle on the general form of the scattering cross-section is discussed.