Causality violation in e+e− pair production by superluminal neutrinos
Department of Physics, Hiroshima University - 1-3-1 Kagami-yama, Higashi-Hiroshima 739-8526, Japan
Accepted: 12 March 2012
Pair emission by superluminal neutrinos is shown to be causality violating in the 10–50 GeV range covered by the OPERA experiment. Thus, the energy density of a freely propagating superluminal neutrino current is not affected by energy loss due to e+ e− pair creation, in accordance with the unperturbed energy profile observed by ICARUS. Interaction processes involving sub- and superluminal particles give rise to time inversions in the rest frames of the subluminal constituents, resulting in causality violating predetermination. Therefore, kinematic causality constraints in addition to energy-momentum conservation are necessary to exclude causality violation outside the lightcone. Electron-positron pair production by superluminal muon neutrinos is forbidden in the OPERA energy range, as the kinematic constraints on the neutrino frequencies and wave vectors required by causality and energy-momentum conservation cannot simultaneously be satisfied.
PACS: 98.80.Jk – Mathematical and relativistic aspects of cosmology / 11.30.Cp – Lorentz and Poincaré invariance / 14.60.Lm – Ordinary neutrinos
© EPLA, 2012