Omega0 said:
I just wanted to say that I find it sort of astonishing to speculate what happens if you could be beyond the event horizon.
Why? All we are doing is applying the same laws of physics that work everywhere we have already tested them. It would be more astonishing to maintain that the laws of physics somehow change at the horizon.
Omega0 said:
The loss of information seems to be critical.
First, the information loss problem is only a problem if you accept the GR prediction about event horizons in the first place. If you don't believe it's justified to apply the standard laws of GR to an event horizon, then there is no information loss problem to begin with. The problem arises from the fact that what GR says about horizons and what happens inside them (that a singularity forms and anything that hits the singularity is destroyed, including quantum information) appears to conflict with what QM says about information being preserved by unitarity. In order to have that apparent conflict, you need to first apply what GR says in the standard way.
Also, the schemes that have been proposed to try and avoid this issue all involve some sort of "new physics" at the horizon; but that means the word "speculation" should be applied to these schemes, not to the standard GR understanding of the horizon, which is, as I've already noted, simply apply the same laws of GR that work everywhere else. We have experimental evidence that those laws work; we have no experimental evidence at all about "firewalls" or any other speculative proposal about things that could happen at the horizon to "fix" the information loss problem, if it is indeed a problem.
Omega0 said:
Why the following argument should be wrong: Information loss is not allowed, so there is no part of the universe expanding relative to us with v > c?
Because there is no conflict between the FRW model of an expanding universe (including there being a cosmological horizon) and quantum unitarity. The quantum information in the FRW model never gets destroyed. The fact that it can't be communicated back out through the cosmological horizon doesn't pose a problem, because all that means is that you and anything behind your cosmological horizon must be spacelike separated. Quantum theory has no problem dealing with spacelike separated events, as long as unitarity is preserved.
The problem with a black hole is that, as I said above, quantum information being destroyed in the singularity violates unitarity. In other words, the problem is really the singularity, not the event horizon. It is in principle possible that a model could be devised that removed the singularity and preserved unitarity, but still included an event horizon (in fact, some proposed "baby universe" models, where what would have been the singularity instead spawns a new universe, pretty much do that). Such a model would not be subject to the information loss problem.