Superconductivity (SC) or superfluidity (SF) is observed across a remarkably
broad range of fermionic systems: in BCS, cuprate, iron-based, organic, and
heavy-fermion superconductors, and superfluid helium-3 in condensed matter; in
a variety of SC/SF phenomena in low-energy nuclear physics; in ultracold,
trapped atomic gases; and in various exotic possibilities in neutron stars. The
range of physical conditions and differences in microscopic physics defy all
attempts to unify this behavior in any conventional picture. Here we propose a
unification through the shared symmetry properties of the emergent condensed
states, with microscopic differences absorbed into parameters. This, in turn,
forces a rethinking of specific occurrences of SC/SF such as cuprate
high-temperature superconductivity, which becomes far less mysterious when seen
as part of a continuum of behavior shared by a variety of other systems