I'm very familiar with the allegory of the cave, but I'm not sure I understand where you're going with the analogy here. Are you saying that it is not possible

I'm very familiar with the allegory of the cave, but I'm not sure I understand where you're going with the analogy here. Are you saying that it is not possible to learn about dynamics in a higher dimensional space from a lower dimensional projection? This is clearly not true in general. E.g., video models learn that even though they're only ever seeing and outputting 2d data, objects have different sides in a fashio that is consistent with our 3d reality. The distinctions you (and others in this thread) are making is purely one of degree - how much generalization has been achieved, and how well - versus one of category.