Tachyonic neutrinos and the neutrino masses

Abstract

With a recent claim of superluminal neutrinos shown to be in error, 2012 may not be a propitious time to consider the evidence that one or more neutrinos may indeed be tachyons. Nevertheless, there are a growing number of observations that continue to suggest this possibility -- albeit with an $m_{\nu }^2<0$ having a much smaller magnitude than was implied by the original OPERA claim. One recently published non-standard analysis of SN 1987A neutrinos supports a tachyonic mass eigenstate, and here we show how it leads to 3 + 3 mirror neutrino model having an unconventional mass hierarchy. The model incorporates one superluminal active-sterile neutrino pair, and it is testable in numerous ways, including making a surprising prediction about an unpublished aspect of the SN 1987 A neutrinos. Additional supporting evidence involving earlier analyses of cosmic rays is summarized to add credence to the tachyonic neutrino hypothesis.

18 pages, 2 figures

References in corpus (11)

• Improved analysis of SN1987A antineutrino events
• Search for a Lorentz-violating sidereal signal with atmospheric neutrinos in IceCube
• Search for Lorentz invariance and CPT violation with muon antineutrinos in the MINOS Near Detector
• Superluminal Neutrinos at OPERA Confront Pion Decay Kinematics
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• Light Sterile Neutrinos and Short Baseline Neutrino Oscillation Anomalies
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Cited by in corpus (10)

• From Generalized Dirac Equations to a Candidate for Dark Energy
• Weighing the Neutrino
• Six observations consistent with the electron neutrino being a tachyon with mass: $m_{{\nu }_e}^2=-0.11\pm 0.016e{V}^2$
• Ultrarelativistic Decoupling Transformation for Generalized Dirac Equations
• Lepton-pair Cerenkov radiation emitted by tachyonic neutrinos: Lorentz-covariant approach and IceCube data
• Sterile neutrino fits to dark matter mass profiles in the Milky Way and in galaxy clusters
• Evanescent Waves and Superluminal Behavior of Matter
• Production of Tachyonic Neutrino in Matter
• 3 neutrino mass experiments fit a strange 3 + 3 model, but will KATRIN reveal the model's unique 3-part signature?
• Could a reported 2007 analysis of Super-Kamiokande data have missed a detectable supernova signal from Andromeda?