Authors: Edward R. Floyd
There are solutions of the Klein-Gordon equation for the massless neutrino that produce massless neutrino oscillation of flavor. These solutions serve as a counterexample to Pontecorvo, Maki, Nakagawa, and Sakata theory for neutrino oscillation of flavor, which implies neutrinos must have mass contrary to the standard model. We show that the wave function for the massless antineutrino for an inverse beta decay (IBD) is a superposition of two independent solutions of the Klein-Gordon equation. One solution represents the latent incident wave upon an IBD. The other solution represents the latent reflected wave from the IBD. This superposition renders a compound modulated wave function with regard to amplitude and phase modulations. This compound modulation is shown to facilitate neutrino oscillation that may be massless and, therefore, consistent with the standard model. Extra to a massless counterexample, the weak interaction is shown to transmute the wave function during an IBD by changing the amounts of the latent incident and latent reflected wave functions that are allocated to the superposition.
Comments: 13 Pages. Published in "Progress in Physics" Vol. 16(2), pp 143-153 (2020)
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