Topological hint to the information paradox and firewall concept for black holes

Abstract

We demonstrate that at the rim of photon sphere of a black hole the quantum collective transition takes place in any multiparticle system of indistinguishable particles at passing inward this limiting sphere. This transition is related to the change of the homotopy class of particle trajectories at this sphere causing the local decay of quantum statistics associated with the emission of radiation taking away the energy and entropy of the infalling matter. The matter bereft of its former entropy smoothly passes next (in the proper time) the event horizon without any violation of the Einstein equivalence principle nor of the quantum unitarity. No firewall is required on the event horizon because the information does not get lost in the black hole, having previously escaped into outer space at the distance of one and a half of Schwarzschild radius from the black hole central singularity.