I'm not criticising Minkowski, I'm criticising the author of the article. He starts out by talking about one dimensional lines, then suddenly jumps to curves as if they could be mistaken for the same thing. And in my humble opinion, it goes downhill from there. He even manage to talk about one dimensional squiggles which is an oxymoron. In one dimension, nothing is squiggly - that is an effect of higher dimensions.

That being said, I don't care much for Einstein's relativity or the derived works either. I think Maxwell was on to something and that quantum mechanics more or less agrees with him.