A novel interpretation is given of Dirac's ``wave equation for the relativistic electron'' as a quantum-mechanical one-particle equation in which electron and positron are merely the two different ``topological spin'' states of a single more fundamental particle, not distinct particles in their own right. The new interpretation is backed up by the existence of such binary particle structures in general relativity, in particular the curvature singularity of the maximal analytically extended, topologically non-trivial, electromagnetic Kerr--Newman spacetime in the zero-gravity limit. The pertinent general-relativistic zero-gravity Hydrogen problem is studied in the usual Born--Oppenheimer approximation. Its spectral results suggest that the zero-$G$ Kerr--Newman magnetic moment be identified with the so-called ``anomalous magnetic moment of the physical electron,'' not with the Bohr magneton, so that the ring radius is only a tiny fraction of the electron's Compton wave length. This is joint work with A. Shadi Tahvildar-Zadeh