In this video of Feynman discussing the scientific method, starting at around eight minutes and 30 seconds, Feynman describes the proposition that space consists of a cubic lattice of points (as opposed to space being continuous). Feynman says "then we can prove that [the proposition] immediately is wrong," but he doesn't elaborate on the proof.
My question is: What are the objection(s) to a cubic lattice universe that Feynman refers to in this video?
I'm not looking for every possible objection to a cubic lattice universe. I'm wondering what in particular the (apparently immediate and obvious) objections are that made Feynman so dismissive of the idea.
