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I had been meaning to go into Feynman's derivation of Maxwell's Equations for a while now. I finally got around to it:
http://signallake.com/innovation/DysonMaxwell041989.pdf
He didn't make use of gauge invariance which Schwinger showed is its real basis and I know that derivation, as well as from the Klein Gordon Equation with mass zero. But Feynmans is a new one to me - interesting.
Now for the real interesting bit. Feynman, and even those that base it on quantum commutators, are not making use of relativity, yet it immediately follows from the equations. Dyson's challenge is how can this be?
I have wracked my brain about that and think I know the answer.
But first what do others think - maybe I am on entirely the wrong track.
Thanks
Bill
http://signallake.com/innovation/DysonMaxwell041989.pdf
He didn't make use of gauge invariance which Schwinger showed is its real basis and I know that derivation, as well as from the Klein Gordon Equation with mass zero. But Feynmans is a new one to me - interesting.
Now for the real interesting bit. Feynman, and even those that base it on quantum commutators, are not making use of relativity, yet it immediately follows from the equations. Dyson's challenge is how can this be?
I have wracked my brain about that and think I know the answer.
But first what do others think - maybe I am on entirely the wrong track.
Thanks
Bill