Cosmological bang as a consequence of a sharp breakdown of quantum statistics in the nuclear matter

A heuristic hypothesis about dominating of Bose-statistics in the early Universe, at the transition from the Radiation Era to the Matter Era is suggested. The possibility of Bose-Einstein condensate of the matter, consisted of baryon-antibaryon pairs is considered. Due to this phenomenon, the enormous mass may accumulate within the cosmic scales. At the several threshold value of the density these structural bosons decay into composing fermions; as a result the sharp breakdown of symmetry of the particles' wave function occurs and the Bose-Einstein statistics spasmodically transforms into Fermi-Dirac one. A large-scale phase transition occurs due to this process, conducted with enormous pressure jump, which may become apparent as a Cosmological Bang at the beginning stage of Matter Era