I have read any number of books regarding the various interpretations of QM. Personally I find certain of the interpretations (i.e many worlds, consciousness causing the collapse of the wave function, etc.) somewhat of a stretch. It would now seem that the theory of decoherence has elegantly answered the measurement problem and has aided us in sorting through the great quantum muddle. (This is not to say that decoherence is the final word on the subject.) But assuming that decoherence explains the measurement problem (i.e. that measurements are taking place continuously everywhere)...is the primarly weakness in decoherence the fact that any state, no matter how improbable, must eventually recur (Poincare recurrence). I believe that this is essentially the argument in a book I recently read by Alistair Rae entitled "Quantum Theory: Illusion or Reality". If so, it would seem that all we need do is prove that Poincare Recurrences do not recur (which I admit is a tall order). However, If it could somehow be proven, it would also likely mean that the 2nd Law of Thermodynamics is a hard and fast law and that would mean that all processes are irreversible and that it is reversible processes that are merely an approximation.