σ = conductivity,
then the fundamental equations for electromagnetic processes in moving bodies are[[26]]
{A} lor f = -s
{B} log F* = 0
{C} ωf = εωF
{D} ωF* = μωf*
{E} s + (ωṡ), w = - σωF.
ω ῶ = -1, and ωF, ωf, ωF*, ωf*, s + (ωs)ω which are space-time vectors of the first kind are all normal to ω, and for the system {B}, we have
lor (lor F*) = 0.
Bearing in mind this last relation, we see that we have as many independent equations at our disposal as are necessary for determining the motion of matter as well as the vector u as a function of x, y, z, t, when proper fundamental data are given.