Universal computation is the set of rulesets that allow to implement all rulesets that allow universal computation. I suspect that hypercomputation lies outside of universal computation, but a-causal computation does not, i.e. hypercomputation cannot be implemented.
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I always think of QM as lazy evaluation, needed to keep the universe computable under time dilation, which was needed to prevent runaway information.
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QM is what happens when you consider particles and space to be real and project one into the other.
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