Proposed Quantum Mechanical Connection

We derive the equations of relativistic quantum mechanics from a modified version of classical electrodynamics, where probability is replaced by potential. As a result, a particle is not a localized entity, in the classical sense, but has a localized energy extremum. The particle/wave aspect of matter is inherent in the particle/wave equation describing elementary particles. Furthermore, the Heisenberg uncertainty and Planck-Einstein-de Broglie relations, and the Klein-Gordon, Dirac and Proca equations follow naturally from the particle/wave equation. In addition, we incorporate a new and more physical interpretation of spin angular momentum. This is a proposed connection between my theory [1] and relativistic quantum mechanics (RQM). In order to show the relationship between the two, I have attempted to derive the major equations of RQM (Klein-Gordon, Dirac, Proca) from the equations in the article above. The scalar electric potential φ [2] at the event P (x, y, z, t), or P , due to a stationary ‘point’ charge q at the origin, in SI units is φ = 1 4π20 q s (1) where s is the spacetime interval [3] from P to the origin s = √ x2 + y2 + z2 + c2t2 (2) where c is the speed of light in vacuo. For a stationary charge density ρ, we have the fourdimensional Poisson’s equation [4] ∇2φ + ∂ φ c2∂t2 = − ρ 20 (3) where ∇2 = ∂ 2 ∂x2 + ∂ ∂y2 + ∂ ∂z2 (4)