John, I have had a read of your site, and I have a few questions.

You assume on this page that the energy of the photon is conserved. The problem is that in your model it appears that, in the general case, energy is not a conserved quantity. For example you say that energy scales as e^2Ht, and hence is a function of time.

Another way to look at this is to consider two identical atoms in an identical excited state. Because emission is a probabilistic thing, one atom will emit a photon before the other atom. According to your claimed derivation of redshift, by the time the second atom emits a photon, the frequency of the first photon will be lower than the frequency of the second photon, and hence they will now possess different energies. How can this be consistent with your view that energy is conserved in your model? And if energy is not conserved, what does that mean for your derivation of the redshift?