Why does gravity forbid local observables?

IRobot
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I heard in a conference that gravity forbids to construct local gauge invariants like Tr-\frac14 F^{\mu\nu}_aF_{\mu\nu}^a and only allows non-local gauge invariant quantities like Wilson Loops: Tr P e^{\oint_{\gamma} A_a dx^a}. Could someone explain me where does it come from? I have a basis knowledge of QFT and GR. If you could had a reference it would be great!
 
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