  Nonlinear supersymmetric(NLSUSY) general relativity(GR) is considered and a
new fundamental action of the vacuum Einstein-Hilbert(EH)-type is obtained by
the Einstein gravity analogue geomtrical arguments on new spacetime inspired by
NLSUSY. The new action of NLSUSY GR is unstable and breaks spontaneously to EH
action with matter(or New spacetime is unstable and induces spontaneously the
phase transition to Riemann spacetime with matter), which may be the real shape
of the big bang of the universe and give naturally the unified description of
spacetime and matter. Some implications for the low energy particle physics and
the cosmology are discussed.
