Observable gravitational and electromagnetic orbits and trajectories in discrete physics

Our discrete and finite version of relativistic quantum mechanics provides an elementary particle physics consistent with the standard model of quarks and leptons. Our recent relativistic calculation of the bound state spectrum of hydrogen has allowed us to make a combinatorial correction to the first order estimate of 1/α = /Dirac h/c/e2 = 137 derived from the combinatorial hierarchy and achieve agreement with experiment up to terms of order α3. The same theory requires that to first order /Dirac h/c/Gm/sub p/2 = 2127 + 136 ≅ 1.7 /times/ 1038. Using the emission and absorption of spin 1 photons and spin 2 gravitons in this framework, we try to show that we can meet the three additional tests of general relativity---solar red shift, solar bending of light, and precession of the perihelion of Mercury. We predict that a macroscopic electromagnetic orbit would have four times the Sommerfeld precession for basically the same reason that Mercury has six times the Sommerfeld precession. 20 refs