Matter-Field Duality and the Unified Maxwell-Dirac Equation
Brian D. Koberlein
The duality of matter and field has long been studied. Typically, this duality is expressed as a relation between particle and wave forms of a single entity. Here, however, the duality between electromagnetic source and field (Dirac and Maxwell equations) is examined. Through quaternion notation, the symmetries of the electromagnetic field and its electron source are discussed. By recognizing the duality between them, one derives a unified Maxwell-Dirac field equation.
