Resolving the Paradox of the Dirac Equation through Phenomenology

F. Wilf’s results on the need to consider the rules of quantum-mechanical correspondence in the Dirac equation for an electron are used to show that the equation obtained by giving physical meaning to α‑Dirac operators should be considered a phenomenological equation for a particle of non-zero size (the EM polaron introduced earlier by the author). This allows a solution to be found to the inherent paradox of the Dirac equation, which consists of the equality of the velocity of the moving particles to the speed of light in a vacuum, which is a priori unobtainable, and to understand the physical essence of spin as the intrinsic mechanical moment of an EM polaron. It is also shown that the Dirac–Wilf equation for a single spatial dimension can be considered a generalization of the Schrödinger equation for relativistic energies.