That's Lorentzian geometry and Minkowski space from the 1900's and created for Relativity.
This is Euclidian geometry, much older and more 'accepted'.
This is Euclidian geometry, much older and more 'accepted'.
I'm going to have to plead ignorance on this. Which will likely not surprise you.
I'll have more than the cursory read through the article in an attempt to educate myself.