Selection of the electromagnetic source tensor by covariance, conservation and the exchange law
On a fixed flat Lorentz frame with metric diag(1,1,1,-1), sources are symmetric 4x4 tensor-valued functions of the six real components of an antisymmetric field. Twelve kernel-checked statements. Among all symmetric homogeneous quadratic sources (210 free coefficients), the six infinitesimal Lorentz covariance equations together with zero trace select the Maxwell stress (the electromagnetic energy-momentum tensor) up to a unique real scale, and a displayed certificate of 209 linear coefficient equations is equivalent to both laws. Among the same homogeneous quadratic sources, conservation…
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