## On a General Spin Dirac Equation

**Authors:** Golden Gadzirayi Nyambuya

In its bare and natural form, the Dirac Equation describes only spin-1/2
particles. The main purpose of this reading is to make a valid and justified mathematical
modification to the Dirac Equation so that it describes any spin particle. We show that
this mathematical modification is consistent with the Special Theory of Relativity (STR).
We believe that the fact that this modification is consistent with the STR gives the present
effort some physical justification that warrants further investigations. From the vantage
point of unity, simplicity and beauty, it is natural to wonder why should there exist
different equations to describe particles of different spins? For example, the Klein-Gordon
equation describes spin-0 particles, while the Dirac Equation describes spin-1/2, and the
Rarita-Schwinger Equation describes spin-3/2. Does it mean we have to look for another
equation to describe spin-2 particles, and then spin-5/2 particles etc? This does not look
beautiful, simple, or at the very least suggest a Unification of the Natural Laws. Beauty
of a theory is not a physical principle but, one thing is clear to the searching mind - i.e.,
a theory that possesses beauty, appeals to the mind, and is (posteriori) bound to have
something to do with physical reality if it naturally submits itself to the test of experience.
The effort of the present reading is to make the attempt to find this equation.

**Comments:** 7 pages, Published in the Apeiron Journal, 2009, Vol. 4, pp.516-531:
http://redshift.vif.com/JournalFiles/V16NO4PDF/V16N4NYA.pdf

**Download:** **PDF**

### Submission history

[v1] 30 Oct 2009

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