One of the foundations of General Relativity is diffeomorphism invariance - the fact that the laws of physics are invariant under smooth coordinate transformations, and thus the laws must involve tensors. My question is, why doesn't this imply scale invariance; after all, isn't a change of scale about the smoothest transformation you can have? Yet the universe is manifestly not scale invariant. Where am I going wrong? Any help would be greatly appreciated. Thank You in Advance.