The solution to the Black Hole information paradox

The information paradox suggests that the black hole loses information when it emits radiation. In this way, the spectrum of radiation corresponds to a mixed (non-pure) quantum state even if the internal state generating the black-hole is expected to be pure in essence. In this paper we propose an argument solving this paradox by understanding the process of spontaneous symmetry breaking when the black-hole selects one among the many possible ground states, emitting then radiation as a consequence of it. Here the particle operator number is the order parameter. This mechanism explains the connection between the density matrix corresponding to the pure state describing the black-hole state and the density matrix describing the spectrum of radiation (mixed quantum state). From this perspective, we can recover the black-hole information from the superposition principle applied to the different possible order parameters (particle number operators).