Is the Dirac Equation generally covariant and if not, what is the accepted version that is?
For general coordinate changes beyond just Lorentz, how do spinous transform?
Yeah and I know some even take the stance that the whole argument is irrelevant, so long as the predictions are accurate. To me this whole issue, and even the wave-particle duality issue etc, boils down to making careful assumptions and applications of what we know. To me it never was a great...
I'm sorry for misspeaking. I know the equations "work" without it. What you are suggesting is that in essence, the shift done to the electromagnetic field is done to keep the equations easy to work with. You could leave them there, but then your equations get messy. Having the extra phase...
I would agree. I think this issue demonstrates how easy it is to get confused between two separate systems and one connected one. You can't think of this as two separate systems communicating, but one system just changing state. As long as the fields are "entangled" they have to be treated as...
I have a question regarding gauge invariance. When a charged field changes phase:
y -> e^it * y
The electromagnetic field adjusts to make the equations work:
A_m -> A_m - idt / dx_m
What I don't understand is why, purely from a physics standpoint, this would happen? That is, is...