I’m not sure about this, but I think if even some of the more complex universes run enumerative Turing simulations (basically, run every possible Turing machine, in order), one might expect most of our “real-ness” to come from complex universes simulating simple ones. Eliezer touches on this in Finale.
Are you saying that complex universes can run more simulations? Don’t forget that complexity refers to Kolmogorov complexity, so simple universes can have tons of particles, but they all have the same properties. A complex universe would have just as many particles, but they would all have different physics. I’m not sure which of those universes is more capable of computation.
No, my point is that there are a lot of complex universes but the Kolmogorov ordering of Turing machines is universal, so universe complexity isn’t transitive—a complex universe that starts a Kolmogorov search still runs the simple ones first.
I’m not sure about this, but I think if even some of the more complex universes run enumerative Turing simulations (basically, run every possible Turing machine, in order), one might expect most of our “real-ness” to come from complex universes simulating simple ones. Eliezer touches on this in Finale.
Are you saying that complex universes can run more simulations? Don’t forget that complexity refers to Kolmogorov complexity, so simple universes can have tons of particles, but they all have the same properties. A complex universe would have just as many particles, but they would all have different physics. I’m not sure which of those universes is more capable of computation.
No, my point is that there are a lot of complex universes but the Kolmogorov ordering of Turing machines is universal, so universe complexity isn’t transitive—a complex universe that starts a Kolmogorov search still runs the simple ones first.