L. P. Horwitz, I. Aharonovich
The Stueckelberg formulation of a manifestly covariant relativistic classical and quantum mechanics is briefly reviewed and it is shown that in this framework a simple model exists for which, for systems with flavor oscillations, beam transit times can be shortened. This phenomenon could account for the OPERA result, providing a mechanism for a "pull back" in measured time during the transit of a beam of neutrinos for which the speed is almost everywhere less than light speed. We show consistency of the model with the Lorentz force obtained from the Heisenberg equations associated with the Stueckelberg Hamiltonians generating the dynamics of a quantum particle, both without and with spin, in interaction with non-Abelian (Glashow-Salam-Weinberg type) gauge fields.
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http://arxiv.org/abs/1203.1632
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