As far as I can tell, it's Bell's Theorem which shows that results we see can't be the result of hidden variables, so either this guy is throwing out this very well known and uncontroversial point, or he's doing something a bit more subtle.

I ain't no physicist but I learned about Bell's Theorem from a video where Feynman is explaining it in terms of boxes with buttons and lights on them, while dressed in a tracksuit. The audience keep asking questions so he goes over the idea about two dozen times, but that's not necessarily a bad thing in this case.