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 bmatrix 0 & 1 \\-1 & 0 bmatrix. New perspecive on stochasic approach is developed with spin as topological invariant and mass having stochastic origin in this Spinor Random Field formalism.

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