Three Dollar Quill

Still reading up on Huygens' principle and it not applying. I'm a little lazy to do all of the necessary calculus right now, but I think I understand the notes I'm looking at well enough to kind of fake up having a solution for the evolution of an instantaneous signal in four dimensions.

One thing I've been trying to figure out, conceptually, based on these notes, is whether the behavior of the surface of a liquid is fundamentally different in four dimensions from three. Like, the implication from what I'm looking at here is that it should be in some sense "calmer" because the disturbances from an object entering the liquid wouldn't "linger". I could be totally misunderstanding so many things here, though.

Anyway, I spaced out and I should wrap up.

Good night.