All good points! Thanks for digging up your FAQ for me, I had run across it before in my wanderings so I've had some time to think. I am certainly willing to move to other forums. As you can see, path contraction (to zero) is central to my reinterpretation of "photon" and that's why I started here. But having stated that (in my earlier replies today), I may be finished here because the question of its impact on the wave aspects of light, implications at low frequency and for static charge (0 Hz) forces can be can be anticipated and would be more appropriately addressed elsewhere. Regarding the requirement for smooth one-to-one functions: I had not been aware of the requirement (but that is true for a great deal). You may be completely correct. But I wonder, does a point really know it's just one? I think we may be able to specify a single location (at least mathematically) but I don't think we can require it to contain only a single point.