thank you for the detailed analysis
If we start with the Lorenz gauge, we will eventually arrive at the same spot right?
interesting, that's kinda tricky
Don't worry, its been pretty useful to me for understanding electromagnetism. :)
I'd just like to see one more step.
Is it correct to...
thank you, so, based on the Coulomb gauge, do you know what are the magnetic and electric potential solutions in terms of the charge and current densities?
I see, thanks, that makes sense.
I noticed that from (30) to (31), the curl operator applied to the fraction ends up being equivalent to applying it to the numerator only. Do you know why that's the case?
cos I was thinking, for example, some versions of the Biot-Savart law don't use retarded time but still satisfy Maxwell's equations. anyway, what's the proof against instantaneity?