This looks absolutely fantastic and I want to go over it in more detail later. You'll go over most of this in a typical physics degree. But like a good movie or

This looks absolutely fantastic and I want to go over it in more detail later. You'll go over most of this in a typical physics degree. But like a good movie or book, the concepts are interesting enough to go over more than once. I will say that as a programmer some of these techniques look a lot like hacks. You start off with a perfectly reasonable integer index. And then you realize you can generalize the index, effectively cramming more information into the index than was originally intended. The really shocking thing is that these stupid, abusive ideas seem to always lead to something really insightful and useful down the road. It's a little bit magical.