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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

100 votes
9 answers
11k views

Theoretical physics: Why not just $\mathbb{R}^4$?

You and I are having a conversation: "Okay," I say, "I think I get it. The gauge groups we know and love arise naturally as symmetries of state spaces of particles." "Something like that." "...And the …