LOL. Using reverse psychology was probability discovered during the Stone Age, and the funny part is that it still works.
Anyhow, I did watch it, and the number of things wrong in that video are so many that I wouldn't know where to start. But I did jot down a few remarks, which I will share not only with you but with those who are following this thread.
1) Well, it was Mark Twain who once said, "
The reports of my death are greatly exaggerated." Honestly, the collapse of physics? a video posted by Irresponsible Atheism?? That gave me a few chukles.
2) GR predicted the existence of Black Holes, but it says very little about their composition, or what happens inside of them, the reason being that it was developped to take into account that photons are affected by gravity. Newton's theory was silent on that, and so was incorrect. So it is not a failure of GR that as it is portrayed in that video. What is clear is that we need a theory that would gives a clue of what's happening inside Black Holes. The importance of developping such a theory is greatly exaggerated.
3) Singularity are mathematical entities, not real things. If they pop out of a theory, it is a red flag that either the theory is misapplied or incorrect in that regime. Again, saying that this signifies the collapse of physics is greatly exaggerated.
4) Then Michio Kaku goes over the fact that using GR in QM will give you infinities. Fine, but infinities have appeared regularly in physics. In QFT, they were handled by such concepts as Renormalization, Regularization, Gauge Invariance, to name a few. Granted, we haven't been able to rid of them in the case of GR, but all one can conclude is that GR might never be quantized. Perhaps, Nature never made that order.
5) Another remark done in the movie is that GR and QM don't talk to each other. Well, that is no surprise as the two theories were developped along two different mathematical frameworks, responding to different concerns.
Perhaps, I will come back to more of the obvious wrongs in that movie, but then again, that video is not worth it.