Not GP, or a physicist, but my understanding is that the different number at each point you multiply with represents a degree of freedom at each point of spacetime, and in this degree of freedom is where the electromagnetic field lives.
My conspiracy theory is that aliens don't want definite proofs of their existence, just vague ones.
So in all of their technological might they track in real time the location of all photo sensors in the world, and only reveal themselves in locations where only potato cameras are present.
One Navy pilot insisted on Joe Rogan/Lex Fridman that UFOs would visit their carrier strike group day after day for weeks.
I always wondered why nobody thought about getting a few goddamn proper cameras out there in the fleet and on the planes so that we would finally have some quality high resolution pictures.
If I was a senior officer on one of those ships sailing near California, I would have hired 5 camera crews from Hollywood and called Elon Musk to lend me the team who is filming SpaceX launches, who are able to get clear pictures of a rocket screaming and many kilometers per second from tens of miles away.
If I was just a regular sailor, I would have gotten my hands on a DSLR with a good zoom lens and film it for eternal Internet and world fame. Imagine being the one who got the first clear shot of an UFO that you see every day for weeks.
A is quantum, the electromagnetic potential is classical, so they are not really the same thing.