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Two-spinor geometry and gauge freedom

Abstract

Gauge freedom in quantum particle physics is shown to arise in a natural way from the geometry of two-spinors (Weyl spinors). Various related mathematical notions are reviewed, and a special ansatz of the kind "the system defines the geometry" is discussed in connection with the stated results.Comment: Elaboration of work presented at the workshop "Geometry and Quantum Theories", held in Florence, June 10-11, 2013, on the occasion of the retirement of Luigi Mangiarotti and Marco Modugno, International Journal of Geometric Methods in Modern Physics (2014

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