  Superfluid 3He-A gives example of how chirality, Weyl fermions, gauge fields
and gravity appear in low energy corner together with corresponding symmetries,
including Lorentz symmetry and local SU(N). This supports idea that quantum
field theory (Standard Model or GUT) is effective theory describing low-energy
phenomena. * Momentum space topology of fermionic vacuum provides topological
stability of universality class of systems, where above properties appear. *
BCS scheme for 3He-A incorporates both ``relativistic'' infrared regime and
ultraviolet ``transplanckian'' range: subtle issues of cut-off in quantum field
theory and anomalies can be resolved on physical grounds. This allows to
separate ``renormalizable'' terms in action, treated by effective theory, from
those obtained only in ``transPlanckian'' physics. * Energy density of
superfluid vacuum within effective theory is ~ E_{Planck}^4. Stability analysis
of ground state beyond effective theory leads to exact nullification of vacuum
energy: equilibrium vacuum is not gravitating. In nonequilibrium, vacuum energy
is of order energy density of matter. * 3He-A provides experimental prove for
anomalous nucleation of fermionic charge according to Adler-Bell-Jackiw. *
Helical instability in 3He-A is described by the same equations as formation of
magnetic field by right electrons in Joyce-Shaposhnikov scenario. * Macroscopic
parity violating effect and angular momentum paradox are both desribed by axial
gravitational Chern-Simons action. * High energy dispersion of quasiparticle
spectrum allow to treat problems of vacuum in presence of event horizon, etc.
