It’s really not accurate to say that a photon has no position at all. How would a photodiode work? You have to be careful with this stuff.
https://physics.stackexchange.com/questions/492711/whats-the...
"Visualizing video at the speed of light — one trillion frames per second" (2012) https://youtube.com/watch?v=EtsXgODHMWk&
But is there an identity function for a photon(s), and is "time-polarization" necessary for defining an identity function for photons?