There is a problem normalizing \(q\) charge and \(m\) mass.
\((v^2_t+v^2_s+v^2_{rg})+(v^2_{tc}+v^2_c+v^2_{rc})=c^2\) may also be wrong for the same reason.
We should have instead.
\((mv^2_t+\cfrac{1}{2}mv^2_s+\cfrac{1}{2}mv^2_{rg})+(qv^2_{tc}+\cfrac{1}{2}qv^2_c+\cfrac{1}{2}qv^2_{rc})=c^2\)
where \(c^2\) still represent a constant.
The kinetic energies along the time dimensions are without the factor \(\cfrac{1}{2}\) (From the post "No Poetry for Einstein"). In the case of, \(g\) the factor \(G_o\) took care of this discrepancies. Both \(g_{rc}\) and \(g_{rg}\) also accounted for the value of 2.
Hold you horses! And if however, numerically,
\(|q|=m\)
for a basic charge, and then with changes made to the value of \(\varepsilon_o\) and \(G_o\). We would still have a valid system of equations.
Early posts are still correct as constants \(G_o\) and \(\varepsilon_o\) absorbed the discrepant value of 2.
: )\(\ni\)