  Using the braid group topological approach to quantum statistics we
demonstrate that for strong gravitational field occurring in neutron star
merger with mass exceeding the Tolman, Oppenheimer and Volkoff limit the
quantum statistics of particles beneath the photon sphere decays, which results
in an instant relief of quantum degeneracy pressure in the star. This causes a
rapid shrink of the matter to a black hole with quite different quantum
collective character of particles. The scheme of neutron Fermi sphere collapse
is proposed as the possible isotropic source of short giant gamma-ray bursts.
The similar quantum mechanism of collapse of Fermi spheres of electrons and
protons in plasma of accretion disc in vicinity of the Schwarzschild horizon of
galactic black hole is able to elucidate the giant luminosity of remote
quasars. The efficiency of the mass to energy conversion via collapse of the
Fermi sphere is ca. 30%, not reachable for any other known physical process
except of the matter-antimatter annihilation.
