  We apply our model of quantum gravity to an AdS black hole resulting in a
wave equation in a quantum spacetime which has a sequence of solutions that can
be expressed as a product of stationary and temporal eigenfunctions. The
stationary eigenfunctions can be interpreted as radiation and the temporal as
gravitational waves. The event horizon corresponds in the quantum model to a
Cauchy hypersurface that can be crossed by causal curves in both directions
such that the information paradox does not occur.
