personal reflection
nrqed said:
I am confused by one thing. I always hear people saying that quantum mechanics "preserves information" and hence is in conflict with GR because of black holes. But the measurement process in QM is not unitary (at least if we use the Copenhagen interpretation). So why do people always say that QM preserves information?
As far as I see it, since QM doesn't model the measurement process in a context where the observer is subject to feedback. It rather models the the expected evolution between measurements relative to this "idealised observer", that as it seems have inifinite memory capacity etc.
So IMO, the unitary evolution of QM, is an expectation only IMO. Sometimes this expectation is very good! and make sense, sometimes not. That's how I personally see it. It's not fundamental to me.
The way I prefer to see this is that "lost/hidden" information may simply be indistinguishable in the general uncertainty. And the complexity of the observer must possible put a bound on the confidence in anything, thus certain things that are indistinguishable _relative to this observer_ (say a black hole) may IMO without contradiction be distinguishable relative to another obsever.
So perhaps, from the point of view of the black hole itself, the radiation is "random", and thus no distiniguishable loss. It then seems to me that by this reasoning one would expect that very small black holes are radiating "less random" than a larger one, as judged by the same observer.
I always thought the origin of a lot of mess is the abstraced observer used in QM. There is no constraint HOW MUCH information it makes sense to have at once. Which does not to me, seem physically reasonable in any way. This is why I think the QM formalism needs relaxation.
/Fredrik