Here's your scientific counter-argument: if the humidity is higher, there is more STUFF in the air than if it is not, more stuff to get in the ball's way. All the Nitrogen, Oxygen, Argon, CO2, etc. that were there before are still there, and now there is more water. Add to that the fact that water, with strong polarization due to the bonding of the ionized H and O, is stickier. IOW, you are, I think, mistaken to say that the ball travels further in humid than in dry air.
Most golfers' experience will accord with what I believe to be the science: wet air is heavier and sticker than dry and therefore the save ball will travel further in the arid than in the humid.
-Ark, thinks this is correct, but wonders what sources GJ is drawing on to back her or his claim to the contrary ...
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