To the question "What is the electric field outside a cylindrical solenoid when inside is turned on a magnetic field" the answer is that outside exists a electric field. Does that mean that the fringes shift in the double slit experiment with electrons could be explained with electromagnetic fields and it is not necessary (but of course possible) to explain it with quantum mechanics?
Answer
This is what the author of http://arxiv.org/abs/1407.4826 seems to imply. I have no idea if this is correct or not, sorry.
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