Seeing spin-2 symmetry in a vector current coupling term

The Gravity and Electromagnetic (GEM) action to unify gravity and EM will be reviewed, pointing out the errors made along the way. One subtle issue involves the current coupling term, J$^u$ A$_u$. One can do a Fourier transform of the potential into a momentum space, then consider a current-current interaction, J J$'$. The product of two currents, J* J$'$, has the phase for a spin 1 particle, the photon. I demonstrate that (iJi)* J$'$ has the phase of a spin 2 particle, the graviton. Both spin 1 and spin 2 particles are required for a unified field theory where like electric charges repel and like mass charges attract.