"... what is the motivation for the special gauge invariant Lagrangians that we use in the standard model and general relativity? One possible answer is that quantum theories of mass zero, spin one particles violate Lorentz invariance unless the fields are coupled in a gauge invariant way, while quantum theories of mass zero, spin two particles violate Lorentz invariance unless the fields are coupled in a way that satisfies the equivalence principle."
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Steven Weinberg, (quote from p. 7)
https://en.wikiquote.org/wiki/Equivalence_principle
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Equivalence principle
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