  Recent measurements of the electron and muon neutrino masses squared are
interpreted as an indication that neutrinos are faster than light particles --
tachyons. The tritium beta decay amplitude is calculated for the case of the
tachyonic electron neutrino. Agreement of the theoretical prediction with the
shape of the recently measured electron spectra is discussed. Amplitude for the
three body decay of the tachyonic neutrino, $\nu_{i} \rightarrow \nu_{i}
\nu_{j} \overline{\nu}_{j} $, is calculated. It is shown that this decay may
explain the solar neutrino problem without assuming neutrino oscillations.
Predictions for short and long baseline experiments are commented. Future
experimental activities are suggested.
