For those that did not read to the end of the article, there is an important update due to feedback from one of the authors. The result only applies to global symmetries but the article talks mostly about gauge symmetries - which are not really symmetries to begin with. More specifically in the standard model it only applies to the difference of the lepton and baryon numbers.
I'm very happy that quantum gravity doesn't work.<p>Quantum describes matter and gravity as we know from GR is just shape of the spacetime. It would be horrible if same math ruled two so different things.