Shifty Tanh(x) And Consistency

From the posts "Not Exponential, But Hyperbolic And Positive Gravity!" and "Flux It", \(F\) due to the particles travelling as a wave in two time dimensions (\(t_g\) and \(t_c\)) and one space dimension that manifest the field phenomenon without the particle moving in space in our 3D space/time \(t\) dimension,

\(F=i\cfrac{\sqrt { 2{ mc^{ 2 } } }}{12\pi x}\,G.tanh\left( \cfrac { G }{ \sqrt { 2{ mc^{ 2 } } }  } (x-x_z) \right)\)

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Note 26 May 2015:  This equation is wrong.  Please refer to post "Opps! Lucky Me" and "Wrong, Wrong Wrong" both dated 25 May 2015.  Instead,

\(F=\int{F_\rho}\,d\,x\)

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where \(x_z\) is the constant of integration after a second and last integration, the specific value of \(x_z\) can account for why particles in the same direction along the \(t_g\) time axis attract each other but particles in the same direction along the \(t_c\) time axis repel each other.  Plots of \(F\) with \(x_z=0\), \(x_z=-1\) and \(x_z=+1\) is shown below,

A positive \(x_z\) results in a attractive force such as gravity and a negative \(x_z\) results in a repulsive force that does not cross into the negative values of \(F\).  A zoomed view of the two types of forces are plotted below

Now we have a consistent view for both gravity and the electrostatic force.  Except for the fact that, the attractive force turns repulsive before its approach to zero as \(x\rightarrow\infty\), which needs further verification.

With the new wave equation from the post "My Own Wave Equation",

\(\ddot { x } \left( 2-i\cfrac { \dot { x }  }{ c }  \right) \cfrac { \partial \, \psi  }{ \partial \, t_{ c } } =ic\left( 1+i\cfrac { \dot { x }  }{ c }  \right) \dot { x } ^{ 2 }\cfrac { \partial ^{ 2 }\psi  }{ \partial \, x^{ 2 } } +2\ddot { x } \cfrac { \partial V\,  }{ \partial \, t_{ c } }\)

we also have MY VERY OWN UNIFIED THEORY!