Birth of a two body photon

The two body photon model assumes that an electron and a positron have been accelerated to the speed of light. The tenets of relativity theory would lead one to believe this to be impossible. It has long been thought that a body cannot be accelerated to the speed of light because the relativistic mass or momentum would become infinite. This conceptual problem is addressed with the realization that it is not necessary to resort to the concept of a velocity dependent mass. Instead, the force should be considered to be velocity dependent. The relativistic equations of motion can be rearranged and interpreted such that the force varies with velocity instead of the mass. When the velocity reaches the speed of light, instead of dividing by zero and interpreting the equations as implying a nonphysical infinite mass, the equations show a finite mass with an applied force of zero. The equations can still take on the indeterminate form of 0/0, but standard mathematical analysis of this situation will show that the equations predict that a body can reach the speed of light. Furthermore, under the influence of an inverse square force, a body can be accelerated to the speed of light over very short distances and provide the initial conditions necessary for the birth of a two body photon.