I don't need to derive geodesic equations: I can simply state that the anti-photon engages the next two negative spacetime events thereby possibly changing its direction of motion.
We associate numbers to negative events simply by stating: CB("Name of Coordinate System", -ngx_1 - mgx_2 - lgx_3 - kgx_4), where x_i element of unit vectors on R^4, n, m, l, k element of N, g element of R.
From Figure 1.5 we see that an electron may emit a photon or an anti-photon (the two electric charge circles). To create a photon from an electron we need: an operator called a copier, a charge copier and a charge transport operator.
We work in the reference frame of the Centre of Mass of the electron. The copier must copy the circle of S_2 and the Riemann Sphere of S_2 itself. Then the carge copier must make 2 copies of the charges on S_2, then the charge transporter must move two of the copies as follows: move the copied charge from (1 - idelta) to (-delta - i) and the one from (-1 - idelta) to (delta -i). Then the other copy of the right sided charge must move to (1 - i(delta + lambda)) and on the left to (- 1 - i(delta - lambda), with lambda chosen by the observer so that the line between the left and right charges is prependicular to the momentum direction. Since lambda > 0 we have the momentum not precisely in the "up" direction.
The same orientation as a reference photon.
They are seen as phase shifted photons.
Space is made of numbers.
I reject the strong force, I think we can do without it. See anti-photons as phase shifted photons going back in time. What is not compatible with the standard model?