Category theory is supposed to be good at unifying mathematical concepts, and may provide physicists a superior framework to work with.
There’s a lovely quote about this, by science-fiction author Greg Egan, at Phil Wadler’s "Alien Category Theory". Less explicitly categorical, but still very much about mathematical unification, there’s another inspiring quote from him at The n-Category CafÃ© blog, Jocelyn Paine’s posting. The first is from his short story "Glory", the second from his 2008 novel "Incandescence".
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