Of course I read your answers!
A four-vector field [electromagnetic four potential] can be used to represent the structure of the Vacuum.
This is what I term the blind mice approach. The 4 potential cannot be used for particles hence the vacuum. It only works for the far field = not all domains of space. Did you ever note that all particles produce 3 different (non linear) fields not 2?
Start to learn logic. The gaugeable 4 potential can only handle linear fields. (See Jackson)
The idea that the vacuum has a structure was invented to explain pair production inside a strong energy field in accelerators. But inside dense mass so called energy holes exist that act like masses. And of course there is no vacuum in this case... Again just missing education in logic. Vacuum means there is nothing no even fields!!
SM invents terms because the SM physicists have no clue of the real physics of particles.