FIVE-DIMENSIONAL GEOMETRY OF SUPERMULTIVERS AS A RESULT OF THE SYNERGETIC SELF-ORGANIZATION OF STOCHASTIC FLUCTUATIONS IN THE MINKOWSKI GEOMETRY
This work is the natural synthesis of two modern cosmological theories: five-dimensional cosmological theories that arise as the development of a unified field theory proposed T. Kaluza, and the theory of eternal inflation Guth-Linde-Vilenkin. The theory of eternal inflation does not give an answer to the question of why the "inflaton" has given, and not some other form of its potential energy. Our approach is based on the variety of geometry as a dynamic system, and the role played by the time the 5th coordinate. The dynamics of such a system is described by equation of E. Cartan, the solution of which defines the geometry in our 5-dimensional manifold. This equation is first stochastically quantized at G. Haken and then turns into a nonlinear using the ideas of Yu. Klimontovich. The resulting nonlinear generalization of the Fokker-Planck equation describes the self-organization of fluctuations in the Minkowski space. Moreover, the fluctuations at different values of the 5th coordinates can self-organize in the geometry generated by different energy-momentum tensor of "inflaton" with a different structure of the potential energy.