Interesting idea. I don’t think using a classical Turing machine in this way would be the right prior for the multiverse. Classical Turing machines are a way for ape brains to think about computation using the circuitry we have available (“imagine other apes following these social contentions about marking long tapes of paper”). They aren’t the cosmically simplest form of computation. For example, the (microscopic non-course-grained) laws of physics are deeply time reversible, where Turing machines are not. I suspect this computation speed prior would lead to Boltzmann-brain problems. Your brain at this moment might be computed at high fidelity, but everything else in the universe would be approximated for the computational speed-up.
Interesting idea.
I don’t think using a classical Turing machine in this way would be the right prior for the multiverse. Classical Turing machines are a way for ape brains to think about computation using the circuitry we have available (“imagine other apes following these social contentions about marking long tapes of paper”). They aren’t the cosmically simplest form of computation. For example, the (microscopic non-course-grained) laws of physics are deeply time reversible, where Turing machines are not.
I suspect this computation speed prior would lead to Boltzmann-brain problems. Your brain at this moment might be computed at high fidelity, but everything else in the universe would be approximated for the computational speed-up.