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In the beginning,

God said, the four-dimensional divergence of an antisymmetric, second rank tensor equals zero,

โˆ‡โ‹…E=ฯฮต0โˆ‡โ‹…B=0โˆ‡ร—E=โˆ’โˆ‚Bโˆ‚tโˆ‡ร—B=ฮผ0(J+ฮต0โˆ‚Eโˆ‚t) \begin{aligned} \nabla \cdot \mathbf{E} &= \frac{\rho}{\varepsilon_0} \\ \nabla \cdot \mathbf{B} &= 0 \\ \nabla \times \mathbf{E} &= -\frac{\partial \mathbf{B}}{\partial t} \\ \nabla \times \mathbf{B} &= \mu_0 \left(\mathbf{J} + \varepsilon_0 \frac{\partial \mathbf{E}}{\partial t}\right) \end{aligned}

And there was light

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