Ghost condensation and CPT violation in neutrino sector

Motivated by the recent MINOS observation, Δm322≠Δm̄322, we study CPT violation in neutrino sector caused by ghost condensation. As a concrete model, we consider an extra dimension model with two branes, which are spatially separated and communicate only through singlet 'messenger' fermion fields which contain right-handed neutrinos in the bulk. Assuming ghost condensation on one brane and localization of the standard model sector on the other brane, CPT violation occurs only in neutrino sector by Yukawa couplings with the messengers, which, at the same time, lead small neutrino masses. In the parameter space which is consistent with the MINOS observation suggests possible observation of the twinkling cosmic microwave background radiation and blinking light-ray from a quasar at a large distance, with a timescale about 0.1 day.