A projector path integral for the Dirac equation and the spin derivation of space

We construct a new kind of path integral for the Dirac equation propagator, intended as an extension to 3 space dimensions of the Feynman 'checkerboard' propagator. One form of this path integral is a 'projector path' summation, out of which one can reconstruct standard 3D space and chirality. Other forms allow the particle velocity along the path to be adjusted