Quaternionic Equations Of Motion For All Elementary Particles

The quaternionic equation of motion of an elementary particle is in fact a continuity equation in which another quaternionic flavor ψʸ of the transporting field ψˣ is coupled with that transporting field via a source term. The coupling factor acts as the mass of the corresponding particle.This fact comes into the foreground when the Dirac equation is converted from its spinor based form to the much cleaner quaternionic form. After stripping away the matrices and reducing the spinors to a single element, the quaternionic Dirac equation for a free particle runs:  ∇ψ = m ψ*A derived equation is  ∇(ψ ψ) = m (ψ ψ*) = 2 m|ψ|²Another derived equation is   ∇(ψ ψ*) = 2 m Re(ψ ψ)With   ∫˯ (ψ ψ*) dV=1 follows read more

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