pe=−iC=q(−i.vtc)pe=−iC=q(−i.vtc)
qq is negative because of its negative speed, −vtc−vtc along the charge time dimension. With respective to the gravitational time dimension, this speed is −i.vtc−i.vtc.
And we define a scalar,
εo=εcv2tcεo=εcv2tc
In order that, for similar charge type,
Fc=iC.iC4πεcr2=14πεor2−C2v2tc=−q24πεor2Fc=iC.iC4πεcr2=14πεor2−C2v2tc=−q24πεor2
Which is negative for repulsive force.
And for dissimilar charge type,
Fc=iC.−iC4πεcr2=14πεor2C2v2tc=q24πεor2Fc=iC.−iC4πεcr2=14πεor2C2v2tc=q24πεor2
Which is positive for attractive force.
vtcvtc is time speed along the charge time dimension not in space. All charges will be perceivable as long as their time speed along the gravitational time dimension is the same as the observer. It is interesting that this charge time axis can rotate about the gravitational time axis freely and all the above equations will still hold. In fact both axes may have spin.
With this formulation of the time domain, we have a consistent picture of field forces and matter/antimatter interaction.