Dirac Equation in Split-Octonions

Author: Tsotne Shengelia
Keywords: Dirac Octonion.
Annotation:

One of the breakthroughs in the development of field theory was the discovery of the Dirac equation in 1928. The question I wish to address in this work is whether one can formulate the Dirac equation without availing oneself of complex bi-spinors and matrix algebra. For this work i will use split-octonions which contain eight parameters, just as Dirac bi-spinors.