Inconsistency in super-luminal CERN–OPERA neutrino speed with the observed SN1987A burst and neutrino mixing for any imaginary neutrino mass

Abstract

We tried to fit in any way the recent OPERA–CERN claims of a neutrino super-luminal speed with the observed supernova SN1987A neutrino burst and all (or most) neutrino flavor oscillations. We considered three main frameworks: (1) tachyon imaginary neutrino mass, whose timing is nevertheless in conflict with the observed IMB–Kamiokande SN1987A burst by thousands of billion times longer. (2) An ad hoc anti-tachyon model whose timing shrinkage may accommodate the SN1987A burst but greatly disagrees with the energy-independent CERN–OPERA super-luminal speed. (3) A split neutrino flavor speed (among a common real mass relativistic νe component and a super-luminal νμ) in an ad hoc frozen speed scenario that leads to the prompt neutrino de-coherence and rapid flavor mixing (between νe and νμ, ντ) that are in conflict with most oscillation records. Therefore, we concluded that an error must be hidden in OPERA–CERN time calibration (as indeed recent rumors seem to confirm). We concluded recalling the relevance of the real guaranteed minimal atmospheric neutrino mass whose detection may be achieved by a millisecond graviton–neutrino split time delay among the gravity burst and neutronization neutrino peak in any future supernova explosion in Andromeda recordable in the Megaton neutrino detector.