On the flip side, assume it is deterministic. Do we have any means of reconstructing a previous state of the universe in order to test this hypothesis? Hells

On the flip side, assume it is deterministic. Do we have any means of reconstructing a previous state of the universe in order to test this hypothesis? Hells no. Even assuming we can cordon off a piece of the universe, can we measure/manipulate all the state of that piece of universe? Hence a better question is, "is the universe deterministic, and free of nonlocal effects and hidden state?"