finsler geometry, hypercomplex numbers and physics
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ON THE HYPOTHESIS OF FRIEDMONS AS DARK MATTER PARTICLES
2016jew | R.F. Polishchuk  // P.N. Lebedev Physics Inst. of Russian Academy of Sciences, Astrospace Center, Moscow, Russia, rpol@asc.rssi.ru

The notion of the dimensionless gravitational charge of any mass is given. Decay of the gravitation constant on 41 order gives the growing of the curvature radius on 41 order of the de Sitter vacuum from 10?13cm to 1028cm and change of vacuum density from the Planckian value to the critical one. Hypothesis of friedmons as dark matter particles is proposed. Friedmons are stable particles with mass as billion masses of nucleons. The corresponding hypothetical exact symmetry group S?U (2) is dual to the group SU(2) of the broken symmetry in frame of the Standard model with stable particles for the other exact symmetry groups SU(3),U(1). There is proposed also hypothesis of a dissociation of primordial de Sitter world with the Planckian density to the modern expanding Universe with the modern critical density. Then the T-duality and S-duality hypothesis of the dissociation of primordial symmetry group E(8)? ?E (8) into the subgroups SU(3)?SU(2)?U(1) and the dual subgroups S?U (3)?S?U (2)? ?U (1) is proposed. These dualities connect the minimal Planckian length 10?33cm with the primordial curvature radius 10?13cm of the Universe with the Planckian density (5 • 1093g/cm3)and with the modern curvature radius of the Universe 1028cm. This thesis is corresponds to the possible connection between the Planckian mass (near 10?5g) and mass of the Universe (near 1056g). This work is made in frame of the Program of the Russian Academy of Sciences P7 «The experimental and theoretical investigations of the Solar system objects and the planetary star systems. Transient and explosive processes in the astrophysics».



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