Colored Quaternion Dirac Particles of Charges 2/3 and -1/3
General Physics
2008-12-10 v3
Abstract
By starting with the simpliest expression of the first order linear wave equation (Dirac's equation) and by confining the elements of the coefficients (matrices) to the quaternions, it is shown that the association of the imaginary bases of the quaternions with three "colors" and their conserved currents results in quasi-particles with charges of 2/3 and -1/3 with a minimum of assumptions. It is shown how color neutral particles are required by Q covariance, first discussed by Finkelstein, et. al. in 1963.
Cite
@article{arxiv.0809.0484,
title = {Colored Quaternion Dirac Particles of Charges 2/3 and -1/3},
author = {Lester C. Welch},
journal= {arXiv preprint arXiv:0809.0484},
year = {2008}
}
Comments
As a result of referee's report, a major re-write of the multi-particle section. Added a section on the principle of linear superposition and tensor product. Editorial changes throughout