Six observations consistent with the electron neutrino being a tachyon with mass: $m_{\nu_e}^2=-0.11 \pm 0.016 eV^2$

Abstract

Six observations based on data and fits to data from a variety of areas are consistent with the hypothesis that the electron neutrino is a $m_{\nu_e}^2 = -0.11 \pm 0.016 eV^2$ tachyon. The data are from areas including CMB fluctuations, gravitational lensing, cosmic ray spectra, neutrino oscillations, and $0\nu$ double beta decay. For each of the six observations it is possible under explicitly stated assumptions to compute a value for $m_{\nu_e}^2,$ and it is found that the six values are remarkably consistent with the above cited $\nu_e$ mass $(\chi^2=2.73).$ There are no known observations in clear conflict with the claimed result. Three checks are proposed to test the validity of the claim, one of which could be performed using existing data.