Stochasticity, topology, and spin

Abstract

Complex Schroedinger equation is transformed to spinor or coupled scalar field equations replacing the imaginary unit $i$ by a matrix $\left[\begin{array}{cc}0& 1\\ -1& 0\end{array}\right]$. New perspecive on stochasic approach is developed with spin as topological invariant and mass having stochastic origin in this Spinor Random Field formalism.

5 pages