  Majorana's arbitrary spin theory is considered in a hyperbolic complex
representation. The underlying differential equation is embedded into the gauge
field theories of Sachs and Carmeli. In particular, the approach of Sachs can
serve as a unified theory of general relativity and electroweak interactions.
The method is extended to conformal space with the intention to introduce the
strong interaction. It is then possible to use the wave equation, operating on
representation functions of the conformal group, to describe the dynamics of
matter fields. The resulting gauge groups resemble closely the gauge symmetries
of Glashow-Salam-Weinberg and the Standard Model.
