Geometric Theory of Neutrinos

A theory of neutrinos is constructed within the present scheme of geometrodynamics. First, a special class of $c$-number Heisenberg fields is considered and a plane-wave-like solution of the covariant neutrino equation is obtained in the two-component limit. It is shown that the special class of neutrinos forms a Rainich null geometry. Conversely, a geometry suitable for the special neutrinodynamics is distinguished from general null geometries by imposing the condition that the null eigenvector of geometry is the gradient of the neutrino complexion. Finally, the geometrical parallelism between gravito-electrodynamics and gravito-neutrinodynamics is discussed.