This
paper establishes asymptotic time dependences of characteristic sizes of
astrophysical and cosmological objects. These dependences are obtained on the
basis of uncertainty principle applied in cosmic scales in approximation of
spherical symmetry in Euclidean geometry. The proposed analytical approach
makes it possible to determine spatial boundaries of the uniformity of matter
distribution in the Universe, and a size of cosmic sphere which contains numerous
groups of interacting universes.
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