Reducing the Covariant Dirac Equation for the Electron or Proton Cores to the Gradients of a Single Wavefunction

The particle- and antiparticle-equations for the electron or proton cores are coupled Dirac equations, eachof which contains two wavefunctions. Without solving for the wavwfunctions explicitly, it is possible to decouple and solve the equations exactly and completely for the electron and proton cores in terms of a single wavefunctions’ gradients.  Calculations repeatedly demonstrate that the reduced Planck constant represents a particle or antiparticle spin coefficient.