Negative Time, Negative $\psi$ and $i$

The following diagram shows how the two types of charges behave like negative and positive charges.

The expression for $F_\rho$ from the post "Not Exponential, But Hyperbolic And Positive Gravity!" was,

$F_\rho=i\sqrt { 2{ mc^{ 2 } } }\,G.tanh\left( \cfrac { G }{ \sqrt { 2{ mc^{ 2 } } }  } (x-x_z) \right)$

where $i$ in the expression for $F_\rho$ of a wave travelling along $t_T$ rotates $c$ along $t_T$ to $t_c$ and a similar $i$ rotates $c$ along $t_g$ to the $-t_c$ direction in the equivalent expression for $F_\rho$ of a wave travelling along $t_g$.

The result is, the forces act opposite to each other, and $-\psi$ appears if we consider $t_c$ to be positive only.  And we have like charges repel and unlike charges attract.