You seem to be neglecting the possibility of a cyclical god structure. Something which might very well be possible in Tegmark level IV if all the gods are computable.
Not strictly speaking. Warning, what follows is pure speculation about possibilities which may have little to no relation to how a computational multiverse would actually work. It could be possible that there are three computable universes A, B & C, such that the beings in A run a simulation of B appearing as gods to the intelligences therein, the beings in B do the same with C, and finally the beings in C do the same with A. It would probably be very hard to recognize such a structure if you were in it because of the enormous slowdowns in the simulation inside your simulation. Though it might have a comparatively short description as the solution to a an equation relating a number of universes cyclically.
In case that wasn’t clear I imagine these universes to have a common quite high-level specification, with minds being primitive objects and so on. I don’t think this would work at all if the universes had physics similar to our own; needing planets to form from elementary particles and evolution to run on these planets to get any minds at all, not speaking of computational capabilities of simulating similar universes.
You seem to be neglecting the possibility of a cyclical god structure. Something which might very well be possible in Tegmark level IV if all the gods are computable.
Huh. You are right; I had neglected such a cyclical god structure. That would appear to require time travel, at least once, to get the cycle started.
Not strictly speaking. Warning, what follows is pure speculation about possibilities which may have little to no relation to how a computational multiverse would actually work. It could be possible that there are three computable universes A, B & C, such that the beings in A run a simulation of B appearing as gods to the intelligences therein, the beings in B do the same with C, and finally the beings in C do the same with A. It would probably be very hard to recognize such a structure if you were in it because of the enormous slowdowns in the simulation inside your simulation. Though it might have a comparatively short description as the solution to a an equation relating a number of universes cyclically.
In case that wasn’t clear I imagine these universes to have a common quite high-level specification, with minds being primitive objects and so on. I don’t think this would work at all if the universes had physics similar to our own; needing planets to form from elementary particles and evolution to run on these planets to get any minds at all, not speaking of computational capabilities of simulating similar universes.
...congratulations. I thought time travel would be a neccesity, I certainly didn’t expect that intuition to be disproved so quickly.
It may be speculative, but I don’t see any glaring reason to disprove your hypothesised structure.