A study of fundamental geometrical interactions shows that the Dirac electron
can be represented as a conformal wave. A Riemannian space is used, having
coordinates that transform locally as spinors. The wave function becomes a
gradient. Anti-commuting matrices map the eight-dimensional waves into five
dimensions. A projection into space time gives the known gravitational and
electromagnetic forces. The electron transforms into a neutrino under
hyper-rotations. First quantization is automatic. The theory is covariant and
contains the known electron interactions.