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The block universe with a dynamic occurrence of time, or this crystallizing of time in various present periods on a spatial sheet of 3-dim, invokes a funny thing. Quantum mechanics is noncontextual in that the basis of vectors is not determined by anything in quantum mechanics. It is selected for by the experimentalist. Hence the contextual aspects of a quantum measurement are what quantum interpretations are centered upon. In the Copenhagen interpretation (CI) the cut is the classical-quantum dichotomy. Of course for this to be "absolute" you need an apparatus which is absolutely non-quantal, meaning its mass must be infinite, and you need an infinite number of experiments. That is fictional of course. The many worlds interpretation (MWI) indicates there is a splitting off of world according to eigenbases selected. The idea is then that the world continues to be quantum mechanical. However, that is still funny, for the world is split off according to the contextuality of the wave function decoherence, or equivalently by the eigen-basis chosen by the experimenter. So this too is not a complete picture.
Quantum interpretations attempt to reduce the mysterious nature of quantum mechanics to our classical understanding, which has an intuitive sensory aspect to how we perceive the world. Yet at the end if the universe is entirely quantum mechanical it is unlikely that any of these schemes can ever work completely. The hidden problem is that QM is inherently noncontextual, but how we interpret QM is contextual. This is a contradiction.
With the block universe it seems reasonable to say the progression of time involves decoherent events, or what has been called wave function collapse. Yet in a subtle way this model has the above contradiction, just as does MWI or CI. This suggests a number of things. I think the primary one is that quantum cosmology should not focus primarily on the issue at all. The question is with the equivalency between quantum entanglements and spacetime configurations. I further suspect this issue of what constitutes a present time and issues of a "flow of time" may simply not be appropriate questions to ask. This may be similar to tinkering around with aether theories and the like before 1905.
Cheers LC