Dear Edwin Eugene Klingman,
I am very glad to see somebody from NASA. I was a project leader for NASA and DOE program at 1980s. You also asked the good questions:
(1) In the equation (2), the first equal sign with and - are for the different charges e2/c, and importantly, the second equal sign link to the same dimensional pr and Et. However, The value of (p.r-Et) may be not "always" equal. If you understand the concept of Heisenberg S-matrix (scattering matrix), you will better understand this equation.
(2) The particle scattering is a very complicated process, depending the type of particles. Therefore, the free electron and bonding electron must calculated differently. I remember Feynman have calculated the bonding electron for the magnetic momentum, and claimed the Schwinger relation of free electron anomaly ae=alpha/2pi should also worked for the bonding electron. However, there are always small difference on the higher order calculations.
(3) My essay here is a shorten version of the original paper accepted for the Journal of theoretical physics. I did not rewrite it for the "Questioning the Foundations: Which of Our Basic Physical Assumptions Are Wrong?" Therefore, I did not claim the incorrectness of Huygens-Fresnel drawing in classical physics text book. In fact, we all taught wrong at high school, then confused in the rest of life. Many people think they know the double slit but in fact not. This is a central problem for the quantum theory as Feynman point out.
(4) My essay shows the real calculations for many different types of the double slit experiments. The most importantly, how the two slit are linked together in equation (6). I am trying to show how particle-scattering and wave-interference worked together as the space-time model. Please sent an email if you like to talk more (address in my essay)
Yours,
Ke Xiao