Hello,
I was surprised I didn't see a reference to the work of Y. JACK NG in your paper: http://arxiv.org/PS_cache/gr-qc/pdf/0403/0403057v1.pdf
Regardless, the idea of photons "moving" in steps is peculiar, to say the least. I personally think it is naive. Dr. Baez says:
"If the rest mass of the photon were non-zero, the theory of quantum electrodynamics would be "in trouble" primarily through loss of gauge invariance, which would make it non-renormalisable; also, charge conservation would no longer be absolutely guaranteed, as it is if photons have zero rest mass."
http://math.ucr.edu/home/baez/physics/ParticleAndNuclear/photon_mass.html
If the photon has no mass then it can only move continuously. If it turns out that it has a very small, finite mass, then the universe would need virtually infinite energy to accelerate and stop all the photon so that they move in steps, unless this energy comes from somewhere else, in which case your model breaks down.