Maxwell’s Equations

In SI units we have the Faraday-Gauss Law \[\partial_\alpha F^{ \alpha \beta} = \mu_0 J_{e}^{\beta}\]

The Ampere-Gauss Law \[\partial_\alpha \star F^{\alpha \beta} = \frac{\mu_0}{c}J_{m}^{\beta}\]

and the Lorentz force law \[\frac{dp_\alpha}{d\tau} =q_eF_{\alpha \beta}v^{\beta}+q_m\star F_{\alpha \beta}v^{\beta}\]

But we now have the different form for the Hodge Dual \(\star F\)