How to obtain the covariant form of Maxwell's equations from the continuity equation

Physics – Classical Physics

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14 pages, See also the related paper [arXiv:0912.5044]: J. A. Heras, "Reply to comment on 'Can Maxwell's equations be obtained

Scientific paper

10.1088/0143-0807/30/4/017

The covariant Maxwell equations are derived from the continuity equation for
the electric charge. This result provides an axiomatic approach to Maxwell's
equations in which charge conservation is emphasized as the fundamental axiom
underlying these equations.

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