  The whole spectrum of high-energy cosmic ray (HECR) is, very likely,
influenced by tachyonic neutrinos. Especially, the appearance of two knees can
be fitted by the tachyon mass $m(\nu_e)=m(\nu_\mu)\simeq 0.51$ eV/$c^2$ as
predicted by a minimal three - flavor model for tachyonic neutrino with one
parameter $\delta=0.38$ eV only. Then the evasion of GZK cutoff could be
ascribed to $Z^0(W^\pm)$-burst model together with the same mechanism for knees
as well as a prediction of left-right polarization dependent lifetime
asymmetry. A further conclusive experiment might be whether the protons of HECR
detected on Earth are really right handed polarized?
