The two diagrams below visualize \(F_{\rho}\) from the post "Not Exponential, But Hyperbolic And Positive Gravity!",
\(F_{ \rho }=i\sqrt { 2{ mc^{ 2 } } } \, G.tanh\left( \cfrac { G }{ \sqrt { 2{ mc^{ 2 } } } } (x-x_{ z }) \right) \)
The most serious implication is that these are magnetic mono-poles moving in the \(t_c\) time dimension at light speed. Equivalently, there are \(g_B\) mono-poles moving in the \(t_g\) time dimension at light speed.
In real time \(t\), we have moving charges generating a \(B\) field perpendicular to the radial line by the right hand screw rule. The field lines above however, radiate along the radial line.
It could be that as such a particle travels in space, the field lines in space along the path of the particle collapse into a circular path as the particle passes.
There is then no electrostatic force, only the magnetic force. And there is no gravity but the original force is \(g_B\).
We have a serious problem. I am floating away already.