Is there math that can prove the lowest to highest configs in terms of moving air(loudness)?

My experience is that there are too many variables to make a decsion the kind that you are asking about, based soley on a formula for the volume of air pushed.. Simple speaker area proportionality does hold in the big picture. A 4x12 sounds bigger than 1x12, 4x10 sounds bigger than 1 x 10. But the speaker and cabinet designs have a lot to do with it. So, the amount of air pushed is not really a good measure of tone quality or how big you sound. Also, the size of the room and what else is in the room makes a major difference (e.g. people, carpet, etc.).  So don't worry so much about pushing air as much as finding a good match for your amp that sounds good to your ear.