Quantum Physics


General Spin Dirac Equation (II)

Authors: Golden Gadzirayi Nyambuya

In the reading Nyambuya (2009), it is shown 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 \frac{1}{2}s\hbar\vec{\sigma} where \hbar is the normalised Planck constant, \vec{\sigma} are the Pauli 2 \times 2 matrices and s=(\pm 1, \pm2,\pm 3, \,\dots etc). What is not clear in this reading Nyambuya (2009) is how such a modified energy-momentum relation would arise in Nature. At the end of the day, the insertion by lathe 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 Nyambuya (2008), we move the exercise of Nyambuya (2009) from the realm of speculation to that of plausibility

Comments: 10 Pages. To be submitted to a peer review journal

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[v1] 2012-09-07 06:35:31

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