Isn’t that exactly what the ‘takes lots of bits to specify which overserver you are’-part can take care of though? Also I’m not sure what it means for a world to contain literally infinite copies of something—do you mean that on average there is some fixed (non-zero) density over a finite volume, and the universe is infinitely large? I think this issue with infinities is unrelated to the core point of this post.
Isn’t that exactly what the ‘takes lots of bits to specify which overserver you are’-part can take care of though? Also I’m not sure what it means for a world to contain literally infinite copies of something—do you mean that on average there is some fixed (non-zero) density over a finite volume, and the universe is infinitely large? I think this issue with infinities is unrelated to the core point of this post.