In previous papers —specifically A Dynamical Theory of the Electromagnetic Potential [2018]—electrons were modelled as longitudinal electromagnetic scalar potentials which generate both electromagnetic waves travelling in R1,3 as well as perfectly spherical charged particles in R3 by satisfying Maxwell’s equations under the Wheeler-Feynman time symmetric theory. In this present paper that model is extended by giving derivations of the Klein-Gordon equation, the Gamma Matrices and the Dirac equation through an examination of the Wheeler-Feynman Time Symmetric theory through an examination of the Parallelogram Law and the Inner Product of the four-vector potentials.Keywords: Dirac’s Equation, Gamma Matrices, Spherical Electrons, Wheeler-Feynman Time-Symmetric Theory, longitudinal electromagnetic scalar potential waves, Wheeler-Feynman electromagnetic four-vector potential time symmetric theory (WFEFVPTST), Parallelogram Law.