The problem here seems to be a deliberate conflation of "logically equivalent claims" (which are two sets of claims entailing precisely the same set of statements entirely independently of whether those statements are a good or even testable model for a physical pheonomenon) and "physically equivalent states" (which are two ostensibly different states which are the same at every level of examination), or a deliberate conflation of the model of a phenomenon with the phenomenon itself. This conflation is, in either case, completely solipsistic, and arguing with solipsists is futile.
I'll leave the two of you to congratulate yourselves on being both brains in vats and not brains in vats at the same time.
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No. Decoherence as an interpretation is not a scientific theory, it is an ontology. Decoherence as an interpretation does not imply Many Worlds unless the wavefunction is considered to be metaphysically real. That ascription of reality to the wavefunction is not a scientific postulate, it is a metaphysical one. Many worlds does not predict anything -- quantum theory makes the predictions, Many Worlds is an ontology, a reification of that theory.
In any case, my last question was ignored, and I don't suspect that further questions about considering things in a less realistic light will be taken seriously because of the glib dismissal and flippant mischaracterization Eli has given the very serious objections from instrumentalists. But I'm going to throw out another paper on the relational interpretation in the hopes that someone here will take seriously the idea that all of this confusion over which interpretation is the right one comes from an unreasonable committment to bad metaphysics.