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We need a theory of anthropic measure binding

The pattern theory is wrong because nature is not lossily compressed in that way.

Speaking as one of the people you describe to whom the pattern theory comes naturally: I don't quite get how you know this. The following paragraphs do not seem to me to establish it. From the fact that a simulation could do something, why does it follow that "base-level reality" can not? Is there an implied argument here involving locality of effects, or similar?