I think you'd have an easier time making your points more clear to others if you took a fork toward the potentialssomewhere in the neighborhood of the space-time point of Saturday Night Fever & Olivia Newton John. You appear to be getting lost running in circles with these mechanical fields.  There are goodies on that alternate path which might help smooth the transition of your quantum leap to QFT.  See the first reference I sent your way before your plea to censor my subtractions of your leadre: the AB effect.