Mean dimension theory provides a critical framework for analysing the complexity of dynamical systems, particularly those with infinite-dimensional state spaces or infinite entropy. It extends ...

Ever since Plato first told his students the allegory of the cave, people have wondered whether dimensions exist beyond the three we immediately perceive. An extra dimension—time—played a role in ...

There may be another universe just a millimeter away from ours, hovering in an extra, hidden dimension. At any moment this second universe (or “membrane,” in M-theory—a relative of superstring theory) ...

Scientists have come up with theories about parallel universes that are so wild they’d make the most creative science fiction writers feel jealous. The idea that there are other worlds exactly like ...