Properties of the Anomalous States of Positronium

It is shown that there are anomalous bound-state solutions to the two-body Dirac equation for an electron and positron interacting via an electromagnetic potential. These anomalous solutions have quantized coordinates at nuclear distances (fermi) and are orthogonal to the usual atomic positronium bound-states as shown by a simple extension of the Bethe-Salpeter equation. It is shown that the anomalous states have many properties which correspond to those of neutrinos.