Neutrinos, Leptons, Quarks -- Geometrical Isospin

Fermi particles are described in an eight dimensional space corresponding to the direction manifold of an arbitrary spinor. The inter-conversion of particles, such as an electron to a neutrino is possible depending on extended motion. The Dirac equation appears but does not exhaust the complex structure of the geometrical space. The extra dimensions of this spinor space can be related to the internal properties of particles as they are observed. This formalism is new and suggests approaches and assessments for some of the current problems in nuclear and particle physics.