Originally posted by Thisica
The information paradox applies to the situation of black hole evaporation via Hawking radiation [which we haven't detected yet, so I don't see why people treat it as a fact
]. The problem here is: what happens to the information states of the objects which have fallen into the black hole? According to Liouville's theorem and quantum mechanics, there can be no information loss. However, there can be a possibility that this information is forever lost, which implies that physics is toast
We honestly think that information is not lost at all.
As for the implications of time travel [or should we say space-time travelling, since space and time are all tied up together?]...I don't know.