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    $\begingroup$ So you're saying that the empirical motivation for local gauge invariance is the masslessness of the photon? I heard that that local gauge invariance is the reason we know the photon is exactly massless (and not just very, very light), but it sounds like you're saying that explanation is backwards. Do I understand you correctly? $\endgroup$
    – JohnK
    Commented Mar 17, 2019 at 19:13
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    $\begingroup$ very well written, particularly the last example $\endgroup$
    – Gravity_CK
    Commented Jul 21, 2021 at 21:48