## Concerning the Dirac γ-Matrices Under a Lorentz Transformation of the Dirac Equation

**Authors:** Golden Gadzirayi Nyambuya

We embolden the idea that the Dirac 4 × 4 γ-matrices are four-vectors where the space components (γ i) represent spin and the forth component (γ 0) should likewise represent the time component of spin in the usual four-vector formalism of the Special Theory of Relativity. With the γ-matrices as four-vectors, it is seen that the Dirac equation admits two kinds of wavefunctions – (1) the usual four component Dirac bispinor ψ and (2) a scalar four component bispinor φ. Realizing this, and knowing forehand of the existing mystery as to why Leptons and Neutrinos come in pairs, we seize the moment and make the suggestion that the pair (ψ, φ) can be used as a starting point to explain mystery of why in their three generations [(e ± , ν e), (µ ± , ν µ), (τ ± , ν τ)], Leptons and Neutrinos come in doublets. In this suggestion, the scalar-bispinor φ can be thought of as the Neutrino while the usual Dirac bispinor ψ can be thought of as the Lepton.

**Comments:** 7 Pages.

**Download:** **PDF**

### Submission history

[v1] 2018-01-03 05:40:37

**Unique-IP document downloads:** 18 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*