I strongly recommend viewing the whole 56 min video.
But if you're short on time, at least watch the following clips:
You have to crack up when Dr. Michio Kaku demonstrates how Einstien's equations spiral wildly out of control in the extreme gravity at the core of a black hole:
Here is the problem, right there: When R= 0 — the point at which physics itself breaks down. So 1/R = 1/0 = Infinity.
To a mathematician infinity is simply a number without limit. To a physicist it's a monstronsity! It means that first of all gravity is infinite at the center of a black hole.> Time stops. Space makes no sense. It means the collapse of everything we know about the physical universe. In the real world there is no such thing as infinity. Therefore there is a fundamental flaw in the formulation of Einstein's theory.
This guy explains how they managed to track the handful of innermost stars that are wipping around the black hole at the center of the Milky Way. Based on these calculations, the mass at the pinpoint center is 4 million times heavier than the Sun. Dude.
Dr. Michio Kaku returns to deliver the best line in the video:
When I actually do this calculation... you get something which makes no sense whatsoever. Infinity. Total nonsense. In fact you get an infinite sequence of infinities. Infinitely worse than the divergences of Einstein's original theory.
This is a nightmare beyond comprehension.