General Spin Dirac Equation (II).

Abstract

In an eailer reading [4], we did demonstrate that one can write down a general spin Dirac equation by modifying the usual Einstein energy-momentum equation via the insertion of the quantity “s” which is identified with the spin of the particle. That is to say, a Dirac equation that describes a particle of spin S = 1 2 s~ where ~ is the normalised Planck constant, are the Pauli 2 × 2 matrices and s = (±1,±2,±3, . . . etc). What is not clear in the reading [4] is how such a modified energy-momentum relation would arise in Nature. At the end of the day, the insertion by sleight of hand of the quantity “s” into the usual Einstein energy-momentum equation, would then appear to be nothing more than speculation. In the present reading – by making use of the curved spacetime Dirac equations proposed in the work [3], we move the exercise of [4] from the realm of speculation to that of plausibility.