  We discuss the possibility that a Born-Infeld condensate coupled to neutrinos
can generate both neutrino masses and an effective cosmological constant. In
particular, an effective field theory is provided capable of dynamically
realizing the neutrino superfluid phase firstly suggested by Ginzburg and
Zharkov. In such a case, neutrinos acquire a mass gap inside the Born-Infeld
ether forming a long-range Cooper pair. Phenomenological implications of the
approach are also discussed.
