> No, it's not, it's our best current model's description of the actual physical reality of our universe.
OK, it's our best model, but it doesn't invalidate other models, less complete or less popular, it compete with them.
> That's true, but it's also true that we can show models to be incorrect, as in, falsified by the data.
Yep. The article is about the Huble Tension, which invalidates Big Bang model. We still use it.
> the second is known to be false because there is no "gravitational redshift" of light in the universe as a whole (because models in which there would be such a redshift are known not to correctly model our data on the universe as a whole)
The Big Bang model is incomplete too: galaxies with FTL speeds, different speeds of expansion, no center of bang, no flows, no source of energy, it stretches time and space, etc.
I assume that the only infinite thing in infinite Universe is Universe itselft. All other things are finite. Thus, a photon has finite life, like any other wave.
> there is no "end of the medium"
The right-hand rule in EM suggests that we are in north hemisphere of something, so south hemisphere will have symmetrical rule, unless you believe that God chose right-hand rule for the whole infinite universe. If we are in a sphere, then that sphere rotates and have a boundary.
> what "waves" is the electromagnetic field.
"Field" is an array of numbers. You are mixing model and reality.