Ah, so then those people who designed the undulator and wigglers in synchrotron light sources were doing it blindly. It's amazing how often they got so lucky, especially at the LCLS, considering that they had tolerances on the order of microns!
And your question on the visualization of a photon is strange, considering that a photon is define as a quanta of energy, and NOT as a clump of stuff in space like a ping pong ball. You might as well ask for a visualization of pain.
This whole thread appears to be built on quite a bit of ignorance on what is meant by modeling and "visualization" in physics. You appear to want certain things on your own terms, and when you don't find it, you draw up the conclusion that such a thing isn't done in physics, or that "math is very limited", forgetting the fact that there has been nothing that has been shown to describe physics better than mathematics, or that the computer you're using is described using math! You use the word "boson" without realizing that it isn't some handwaving entity, but something that is clearly described in physics using mathematics! If you have something, and it doesn't behave exactly as described in physics, then it isn't a boson!
I think we have given this thread a very long leash, and it is appropriate at this time to remind you of the
https://www.physicsforums.com/showthread.php?t=5374" that you had agreed to. Pay particular attention to our policy on speculative, unverified posts. At some point, this has turned from wanting to learn about something (which we encourage) to promoting some strange and unverified idea. Unless the direction changes, this thread will end very soon.
Zz.