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COT2 - Topology of the Universe

Speaker_

Rozgacheva, Irina K.

 Talk_

TOPOLOGOCAL AND STOCHASTIC PROPERTIES OF THE PHYSICAL VACUUM

Abstract_

The vacuum is not observable. Here the property is considered both as the Lorentz-invariance and as the relative to any removals of a frame of reference. The second condition is considered as the coincidence of the space-time automorphisms of four dimensional translations and rotations. Then, it is shown, the effective space-time of the vacuum is homogeneous isotropic and has four closed dimensions. This space-time is compact. The curvature of any two dimensional surface is negative. It is shown its geodesics are unstable and intermix. Then, the vacuum as the dynamical system is stochastic. The compactness and the stochastic of the vacuum enable us to substantiate the hypothesis on the quantization of states of any physical system and the probability nature of the matter.  

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