It is a problem in either case - if it really disappears then time reversibility, a real corner stone of physics, is violated, if it does not disappear the problem is that we don&#x27;t understand (well) where it goes. As far as I know the favourite theory is that the information is contained in the Hawking radiation and I believe to remember that there was a paper not too long ago that showed how to recover one (or a few) (qu)bit(s) from Hawking radiation in a special case. Because time reversibility is such a deep concept it seems likely that we just don&#x27;t understand well where the information goes, I doubt that many physicists believe the information really disappears.