The generalized uncertainty principle, entropy bounds and black-hole (non-)evaporation in a thermal bath

In this work we apply the generalized uncertainty principle (GUP) to the problem of maximum entropy and evaporation/absorption of the energy of black holes near the Planck scale. Within this general approach we find corrections to the maximum entropy and indications of the quenching of evaporation, not only because the evaporation term goes to a finite limit, but also because the absorption of quanta seems to help the balance for black holes in a thermal bath. Then, residual masses at around the Planck scale may be the final outcome of primordial black-hole evaporation.