I just finished another typically boring physics class. Our professor’s egregious error today was to say that in an isolated system, the total momentum is 0, instead of the correct statement that in an isolated system the derivative of the total momentum is 0. What made it truly sad was that he continued the entire class without interrupting himself to make the necessary correction. Not that I expected him to, he never does.
So while he was doing his thing, I started to drift off. I rather like my physics book: what had annoyed me at first, the ubiquity of pedagogical examples, now seems useful. Because he has all those examples in there, the author seems to dedicate less time to going on and on about the core physical concepts. So if I need to, I can read an entire chapter, recieving the essential information, in less than an hour. And while I was doing that today, I started to once again consider switching over to a physics major, probably to do cosmology. And I wondered why I would even consider doing such a thing, when I know very well that physics is not really one of my interests.
Then, thanks to the professor’s little blunder, I realized what it is about physics that attracts me so: the subsumption of physical semantics into mathematical syntax. For example, by representing forces as vectors, you can use the vector principles to manipulate forces in ways that are (usually) physically meaningful, all without considering the underlying physical concepts apart from their vector representations. And this allows for one of my favorite things, generalization and extrapolation. For example, from the mathematical definition of a central force, we can deduce the properties of the gravitational and electrical forces.
I guess I would like mathematical physics for that reason. Actually, I know I would like mathematical physics. I enjoy reading about the latest supersymmetry theories. And one of my past times is reading about cosmology. I enjoy the way that the cosmologists make conjectures about the past and future of the universe based on nothing more concrete than the current mathematical model they subscript to. And they make such convincing arguments too!