moridinamael comments on Principia Compat. The potential Importance of Multiverse Theory - Less Wrong Discussion
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I don't see how that would be possible. Pretty much anything except a computer is easier to simulate than a computer. You can simulate a whole galaxy as a point-mass if it's sufficiently far from observers; you can simulate a cloud of billions of moles of gas with very simple thermodynamic equilibria, as long as nobody in the vicinity is doing any precise measurements; but a computer is a tightly packed cluster of highly deterministic matter and can't really be simplified below the level of its specific operations. Giant, complex computers inside a simulation would require equivalent computers outside the simulation performing those computations.
You don't seem to have understood. I don't mean "nested simulations are easier to simulate than lifeless galaxies too far from the subjects of the simulation to require any precision", drifting matter is irrelevant. I mean that nested simulations are probably easier to simulate than scores of post-singularity citizens running on a diverse mind emulation (or mind extension) hardware cavorting around with compound sensors of millions of parts. But you wouldn't address that, so perhaps you don't disagree.
If you're just arguing that modelling an expanding post-singularity civilization would be more expensive than modelling clouds of gasses, my response would be yes, of course. It's conceivable that some compat simulations switch into rapture mode before a post-singularity civilization can be allowed to reach a certain size. We wont know whether we're in such a cost-constrained simulation until we hit that limit. Compat would require the limit to happen after a certain adjudication period has passed. If we wake up in pleasant but approximate dreamscapes one day, before having ever built or committed to building a single resimulation farm, you could say compat would be falsified.