  A relativistic theory for neutrino superluminality is presented (in
principle, the same mechanism applies also to other fermions). The theory
involves the standard-model particles and one additional heavy sterile neutrino
with an energy-scale close to or above the electroweak one, all particles
propagating in the usual 3+1 spacetime dimensions. Lorentz violation results
from spontaneous symmetry breaking in the sterile-neutrino sector. The theory
tries, as far as possible, to be consistent with the existing experimental data
from neutrino physics and to keep the number of assumptions minimal. There are
clear experimental predictions which can be tested.
