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Using the braid group topological approach to quantum statistics wedemonstrate that for strong gravitational field occurring in neutron starmerger with mass exceeding the Tolman, Oppenheimer and Volkoff limit thequantum statistics of particles beneath the photon sphere decays, which resultsin an instant relief of quantum degeneracy pressure in the star. This causes arapid shrink of the matter to a black hole with quite different quantumcollective character of particles. The scheme of neutron Fermi sphere collapseis proposed as the possible isotropic source of short giant gamma-ray bursts.The similar quantum mechanism of collapse of Fermi spheres of electrons andprotons in plasma of accretion disc in vicinity of the Schwarzschild horizon ofgalactic black hole is able to elucidate the giant luminosity of remotequasars. The efficiency of the mass to energy conversion via collapse of theFermi sphere is ca. 30%, not reachable for any other known physical processexcept of the matter-antimatter annihilation.

Quantum mechanism of extremely high energy processes at neutron star collapse and of quasar luminosity