I had an odd thought this morning in my car on the way to work. Would the inverse of Planks constant represent a sort of coupling constant between the micro and macro worlds. As h tends to zero the coupling becomes infinite so to speak. I got as far as finding that the fine structure constant is indeed inversely proportional to it and that that it also comes into gravity type equations. Can anyone shed more light on this? If it does represent a coupling constant, what between?