Physical systems cannot have strange attractors with infinitely intricate self-repeating structure all the way down

A different reason, though, to suspect that physical systems cannot have such self-repeating structures “all the way down” is that at some point the classical world gives way to the quantum world, where things change so drastically that there cannot be a strange attractor because the state space changes. Hence, we are applying a model carrying a tremendous amount of excess, fictitious structure to understand features of physical systems. This looks like a problem because one of the key structure