It would imply infinite complexity, infinite layers of universes
Universes existing alongside and in combination with each other, and also within each other implies an "infinity" of universes that's probably prevented by something.
Unless the infinity exists, but a limit of detectability from the frame of reference of any one universe is imposed. I might say something similar about infinitely dense black holes: they don't exist for a measurable timespan. But do they exist? Detectability is dependent on alot of things.
Shannon's Law doesn't seem to apply to single particles. So I don't know how to approach this problem.