Okay. I think this anthropic theory makes a falsifiable prediction (in principle). The infinite precision real numbers could be algorithmically simple, or they could be unstructured. The theory predicts that they are not algorithmically simple. If it were the case that they were algorithmically simple, we could run a solomonoff inductor on the macrostates and it would recover the full microstates (and this would probably be simpler than the abstraction-based compression).
Okay. I think this anthropic theory makes a falsifiable prediction (in principle). The infinite precision real numbers could be algorithmically simple, or they could be unstructured. The theory predicts that they are not algorithmically simple. If it were the case that they were algorithmically simple, we could run a solomonoff inductor on the macrostates and it would recover the full microstates (and this would probably be simpler than the abstraction-based compression).