Electron Wave-Spin Qubit

Abstract

As a continuation of our earlier investigations into electron wave--spin~\citep{GaoJOPCO22,EntropyEvaSpin2024}, we analyze the electron spin and its qubit in a cavity by treating the electron as a physical wave obeying the Dirac equation. In this view, a qubit is a current--density configuration whose orientation is fixed by the relative phase, rather than a particle carrying simultaneous ``up'' and ``down'' spin states with assigned probabilities. The resulting magnetic--moment density, derived from the current, displays a richer vector distribution and topology than the fixed axial dipole weighted by probability density in the conventional wave--particle model. Both frameworks yield the same total moment of one Bohr magneton and are indistinguishable in uniform external fields, yet their ontological differences predict distinct couplings to structured fields and spin--spin interactions. These contrasts motivate further exploration of dynamical consequences within the wave--entity framework, including Aharonov--Bohm--like responses that provide testable alternatives to conventional wave--particle duality.