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I consider infinitesimal translations $x’^{\alpha}=x^{\alpha}+\delta x^{\alpha}$ and demand that Noether’s approach gives a symmetric electromagnetic energy-momentum tensor as it is required for gravitational sources. This argument determines the transformations of the electromagnetic potentials under infinitesimal translations to be $A’{\gamma} (x’) = A{\gamma}(x)+\partial_{\gamma} [\delta x_{\beta} A^{\beta}(x)]$, which differs from the usually assumed invariance , by the gauge transformation .

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