Abstract
We discuss the cosmological implications of nonlinear supersymmetric(NLSUSY) general relativity(GR) of vacuum Einstein-Hilbert(EH) action-type. NLSUSY GR is obtained by the geomtrical arguments on new spacetime just inspired by NLSUSY. New spacetime is unstable and induces spontaneously the phase transition to Riemann spacetime with NG fermion matter. i.e. the new action of NLSUSY GR is unstable and breaks down spontaneously to EH action with Nambu-Goldstone(NG) fermion matter. We show that NLSUSY GR may describe naturally the paradigm of the present expanding universe and elucidate the physical meanings and relations among the cosmologicaly important quantities,e.g., the spontaneous SUSY breaking scale, the cosmological constant, the dark energy and the neutrino mass.
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