Abstract

A review is given of hypothetical faster-than-light tachyons and the development of the author’s 3+3 model of the neutrino mass states, which includes one tachyonic mass state doublet. Published empirical evidence for the model is summarized, including an interpretation of the mysterious Mont Blanc neutrino burst from SN 1987A as being due to tachyonic neutrinos having m2=-0.38eV2. This possibility requires an 8 MeV antineutrino line from SN 1987A, which a new dark matter model has been found to support. Furthermore, this dark matter model is supported by several datasets: γ-rays from the galactic center, and the Kamiokande-II neutrino data on the day of SN 1987A. The KATRIN experiment should serve as the unambiguous test of the 3+3 model and its tachyonic mass state.

Highlights

  • Background level18570 Electron energy −0.2Electron Energy (a)(b) alternatively a best fit value for m]2(eff) which is negative

  • As noted earlier, the 3 + 3 model can account for the artifactual m]2(eff) < 0 fitted value found in most direct mass experiments

  • A recent paper has provided evidence for the tachyonic mass in the model by showing how it explains the mysterious Mont Blanc neutrino burst seen on the date of SN 1987A [18], a possibility first raised by Giani [29]

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Summary

Direct Neutrino Mass Experiments

The most common “direct” (model independent) method of measuring the neutrino (or antineutrino) mass is to look for distortions of the β−decay spectrum near its endpoint In these experiments, an antineutrino is emitted is in the electron flavor state ]e which is a quantum mechanical mixture of states ]j having specific masses mj with weights Uej, i.e., ]e = ∑ Uej]j. Using (3) in the case of mj2 > 0 neutrinos of distinguishable mass, we would find that the spectrum shows kinks for each mass at a distance mj from the endpoint defined by the decay Q-value These direct mass experiments are extraordinarily difficult in light of systematic effects that distort the spectrun, and the very small number of electrons observed near the spectrum endpoint. Any neutrinos having V > c would arrive earlier than those having m2 > 0, assuming they all started out approximately simultaneously, and those having higher energy would arrive later than those with lower energy

SN 1987A and the Mont Blanc Burst
0.03 Background level
Model for an 8 MeV Neutrino Line
The Mont Blanc Burst Again
The KATRIN Experiment

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