  We review the recent proposal that neutrinos are light because their masses
are proportional to a low scale, f, of lepton flavor symmetry breaking. This
mechanism is testable because the resulting pseudo-Goldstone bosons, of mass
m_G, couple strongly with the neutrinos, affecting the acoustic oscillations
during the eV era of the early universe that generate the peaks in the CMB
radiation. Characteristic signals result over a very wide range of (f, m_G)
because of a change in the total relativistic energy density and because the
neutrinos scatter rather than free-stream. Thermodynamics allows a precise
calculation of the signal, so that observations would not only confirm the
late-time neutrino mass mechanism, but could also determine whether the
neutrino spectrum is degenerate, inverted or hierarchical and whether the
neutrinos are Dirac or Majorana.
  The flavor symmetries could also give light sterile states. If the masses of
the sterile neutrinos turn on after the MeV era, the LSND oscillations can be
explained without upsetting big bang nucleosynthesis, and, since the sterile
states decay to lighter neutrinos and pseudo-Goldstones, without giving too
much hot dark matter.
