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 Tduality and Sduality 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».
