2016/08/23 by Kristian Hauser A. Villegas, Villegas, Kristian Hauser A.
Earth and Planetary Sciences · Economics, Econometrics and Finance · Engineering · #Meteorological Phenomena and Simulations #Stochastic processes and financial applications #Reservoir Engineering and Simulation Methods
paper · pdf · doi:10.48550/arxiv.1608.08531
A simple model of a blackhole evaporation without information loss is given. In this model, the blackhole is not in a specific mass eigenstate as it evaporates but rather, is in a superposition of various mass eigenstates and is entangled with the radiation. For astrophysical blackhole, the mass distribution is sharply peak about its average value with a vanishingly small standard deviation, which is consistent with our intuition of a classical object. It is then shown that as the blackhole evaporates, the evolution of the closed blackhole-radiation system is unitary. This is done by showing that the full density matrix satisfies Trρ2=1 at all times. Finally, it is shown that the entanglement entropy, after an initial increase, decreases and approaches zero. These show that this model of blackhole evaporation has no infromation loss.