Main Question or Discussion Point
Having in mind the idea that "information is not lost" (referring to the black hole information paradox), is not the same rule violated in the wave function collapse? I.e. during the decoherence process information is not lost as this process of entanglement of some object with its environment is reversible (in theory), but, supposing, only one "classical" alternative exists in the end (Many worlds interpretation aside), this looks for me like a loss of information. Or in other words it looks like an absolutely non-reversible process.