Quantum gravity and recovery of information in black hole evaporation

Abstract

The Generalized Uncertainty Principle (GUP), motivated by current alternatives of quantum gravity, produces a significant modifications of the Hawking radiation and the final stage of black hole evaporation. We show that for quantum tunneling process (based on null-geodesic method) incorporation of the GUP corrections leads to appearance of correlations between the tunneling probability of different modes in the black hole radiation spectrum. In this manner, the quantum information will be encrypted in the Hawking radiation and information actually will be recovered as the GUP non-thermal correlations between tunneling probabilities of different modes. PACS: 04.70.-s, 04.70.Dy