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Unified understanding of neutrino oscillation and negative mass-square of neutrino

Unified understanding of neutrino oscillation and negative mass-square of neutrino

AI Xiao-Bai
Nuclear Science and TechniquesVol.12, No.4pp.276-283Published in print 01 Nov 2001
39600

The author indicates that even a conclusive confirmation of neutrino oscillation does not necessarily imply the existence of massive neutrinos. The negative value of neutrino mass-square may be an alternative key with realistic physical meaning. Reexamining special relativity (SR) we find that there actually exists a formal phase velocity of "de Broglie's wave" in temporal Lorentz transformation attributed to the intrinsical essence of Minkowski's space. The properties of spacelike interval between two events have already included constrains to describe superluminal motion and SR is compatible with the faster-than-light motion originally in algebraic domain. Pay attention to that the operator representation, pi. has just verified for subluminal particles, not for superluminal particles, adhering to de Broglie's coexistence idea between waves and particles, it is possible to deduce a formal two-component Weyl equation to describe any species of free neutrinos with imaginary rest mass, which is equivalent to making use of the Dirac equation for a free spin-1/2 particle with zero rest mass in form.

Neutrino oscillationSuperluminal motionDe Broglie's waveTwo-component Weyl equation
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