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    $\begingroup$ If you like this question you may also enjoy reading this Phys.SE post. $\endgroup$
    – Qmechanic
    Commented Jul 10, 2016 at 19:15
  • $\begingroup$ John Baez writes: "The gauge principle says, in simple terms, that you can only tell if two particles are in the same state if you move them next to each other so you can compare them. Working out the mathematical consequences of this principle leads to gauge theories which explain the forces we see in nature." $\endgroup$ Commented Nov 25, 2017 at 5:09