Very good article. Did you finish studies in physics or study physics?

I study mathematics. Just ended semester I have been attending Set Theory course. Cardinal numbers are powers of sets. You probably know, that the power of natural numbers is the same as integer numbers and even the same as rational numbers and even the same as algebraic numbers.
But in Zermelo-Fraenkl theory, there is no set of all cardinal numbers. But we also know, that there is no biggest cardinal number, it follow from axiom of power set. From the other side, in ZF (even ZFC with added axiom of choice) we cannot prove or disprove existence of "big cardinal numbers". Big cardinal number is cardinal number such that if set X has power less than it, then also power set of X has power less than it. (and it holds for every set with cardinal number less than it).
I can write more but I dont know if You are interested in reading it :)
I probably have less physics knowledge than You, last year I read popular Christopher's Galfard book. And I've just bought cheap ebook in differential geometry, which is strongly used in physics :)