I intend to continue by using the approach used in previous UFT papers developing the fermion equation, but to explore approximations other than those used by Dirac and contemporaries. In those approximation they used E = gamma mc squared about equal to m c squared in the denominator, UFT247 to UFT253. I like this kind of work because it is so elegant and produces so much information and has so many possible variations on the theme. It is based on the Einstein energy equation, which is a retsatemtn of the realtivistic momentum p = gamma m v (see Marion and Thornton or good websites). It can be looked upon as quantization of the ECE2 Lorentz force equation. In the Einstein energy equation
E squared = c squared p squared + m squared c fourth
where p is the relativistic momentum p = gamma m v. In the Dirac type approximations p is approximated in the development by the non relativistic momentum in the numerator of
E – m c squared = p squared c squared / ( E + m c squared)
After this development I intend to go back to the earlier ECE2 equations and develop them for the spin connection. Dirac used the minimal prescription which is equivalent to adding U as shown in immediately preceding UFT papers. The approximations used by Dirac et al. are crude and rough ones which can only be justified by the agreement with experimental data, the famous half integral spin , ESR, NMR and so on. I suggest strongly that readers follow this discussion with readings of Marion and Thornton, chapter on special relativity. It is especially important to understand the Lorentz transform and the definition of the Lorentz gamma factor from the Minkowski metric. Horst’s demonstration of precession from special relativity in UFT325 is also very important. At first, special relativity can be very confusing but it is not difficult if a few rules are kept clearly in mind.