Something Old, Something New, A Shoulder To Rely On

From the post "We Have A Problem, Coulomb's Law",

$F=2\cfrac { mc^{ 2 } }{ x } e^{i\pi/2}$

So,

$\psi=-\int{2\cfrac { mc^{ 2 } }{ x } e^{i\pi/2}}d\,x$

$\psi=-{2{ mc^{ 2 } }{ ln(x) } e^{i\pi/2}}$

Similarly $\psi$ is delimited at $x=x_a$, where $\psi=0$.  However, without $A$ (cf. post "Not Exponential, But Hyperbolic And Positive Gravity!"), Coulomb's Law applies for all $x\gt0$.

$F=\cfrac { mc^{ 2 } }{ 6\pi x^2 } e^{i\pi/2}$

Nice to know there's something old to fall back on.