Two knees and the Evasion of Greisen-Zatsepin-Kuz'min Cutoff in Cosmic Ray Spectrum -- Are Neutrinos the Tachyons?

Abstract

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?

Comments: 30 pages, 9 figures