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Decoherence and collapse
I have a question: You say that a decohered state still describes a single state of the global system, but to what extent does this decohered state include the observer? This is how I think about it, does this make any sense? It seems to me that if the state has decohered to the point that the observer sees an ensemble of measurement outcomes then the observer is part of the newly decohered state. If not, then the observer will still see a single state of the global system (albeit a bigger more complex one).