It is shown that using Noether's Theorem explicitly employing gauge invariance for variations of the electromagnetic four-potential A^μ straightforwardly ensures that the resulting electromagnetic energy-momentum tensor is symmetric. The Belinfante symmetrization procedure is not necessary. The method is based on Bessel-Hagen's 1921 clarification of Noether's original procedure, suggesting that the symmetry problem arises from an incomplete implementation of Noether's Theorem.
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H. Haberzettl (2024) studied this question.
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