Recognitions:

## Aharonov-Bohm topological explanation

 Quote by TrickyDicky Do you agree that starting with the loop integral of A to get the flux is not allowed unless you consider the vector potential physically significant to begin with, ...
yes, one must attribute a fundamental, physical role to the vector potential; otherwise this reasoning would not be forbidden, but physically unreasonable (*)

 Quote by TrickyDicky ... but that is something that classically was not considered possible, ...
no, it is possible classically, but it's not necessary in classical electrodynamics; there everything, including interaction with charged particles, can be described in terms of E and B; A is only an auxiliary variable;

(*) one could even say that using A introduces gauge invariance and unphysical redundancy which has to be removed via gauge fixing, so in some sense using A instead of E and B could even be seen as pointless

 Quote by TrickyDicky ... and that is only considered the right explanation from a prediction in QM and the empirical proof of the AB effect.
yes, it's QM which indicates that one should use A instead of B; $\oint_C A$ is a physical, gauge invariant observable in classical electrodynamics; but it's QM which tells us that we should better use $\oint_C A$ instead od $\int_S B$; in classical electrodynamics based on (*) we would prefer $\int_S B$
 Ok, thanks.