Abstract

Hypothesis of friedmons as dark matter particles is proposed. Friedmons are stable particles with a mass of billion nucleon masses. These particles correspond to the not yet been discovered exact symmetry group dual to the SU(2) group: for the Standard model symmetries and dual symmetries, the roles of exact and broken symmetries and corresponding stable and unstable particles change places. The hypothesis of the decay of the primordial de Sitter vacuum of the Planck density to an asymptotic state of the expanding Universe with de Sitter vacuum of the observed critical density is proposed. The T -duality and S-duality hypotheses relating subgroups SU(3)×SU(2)×U(1) and dual subgroups S˜Ũ(3)× S˜Ũ(2) × ˜Ũ(1) with decay of the primordial symmetry group E(8) × ˜Ẽ(8) are proposed. In particular, these dualities relate the minimum Planck length 10−13 cm to the primordial curvature radius 10−13 cmof theMetagalaxy of the Planck density and its modern curvature radius of 1028 cm. That is, the probable relation of the Planck mass to the Metagalaxy mass of 1061 Planck masses is indicated.

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