The Supernovae data, the small value of the Higgs particle mass, and the matter content of the Universe are explained via joint nonlinear realization of the affine and conformal symmetry groups (in spirit of the effective Chiral Lagrangians). This nonlinear realization is used to classify observable physical processes in the Universe, including its origin from the quantum vacuum. All dimension parameters of the theory (including masses and field condensates) arise via quantum anomalies in the beginning of the Universe as consequences of the vacuum postulate. The obtained results are in agreement with last observational and experimental data. These results testify to a super-analog of the joint nonlinear realization as the super-unification of the GR and SM that can be based on the quaternionic supertwistor construction.
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