One a topological secret of gravity and its surprises for astrophysics, cosmology and particle physics

It is argued that the surface radius of a compact source can not be less than its gravitational radius due to the strong gravitational time dilation effects. The such "topological" difference between the Newtonian and relativistic gravity leads to the known observable effects. The hierarchy of supercompact stars, more massive than neutron stars, such as heavy baryon, quark (subquark?) and other heavy particle stars is predicted instead of the black holes. The lack of the cosmological singularity and a gravitational nature of the regularizations of loop divergencies in quantum field theory are also discussed.

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