I couldn't even imagine what a 12 or 13 oz cue would feel like. I did notice that when I started playing with this lighter cue, I really had to focus on my stroke so that it didn't get out of line. I've also gained a bit more accuracy when making slow rolling shots, which I hope doesn't go away when I switch back to a heavier cue. The one problem that I do seem to have with this lighter setup is drawing the CB back with a light finesse shot, it only seems to roll back 1/3 as far as it should. I don't know if that's my stroke or shot speed being affected by the cue's weight, so it'll be interesting to see if that changes once I go back.
I don't know the math so I don't know if squares or cubes or something comes into play but there seems to be a large change in inertia going from a light to a heavy cue. The light cues seem much more like they bounce off of the cue ball than drive through it. Try a 24 ounce or heavier cue(I've been there too!) and it seems like the cue ball almost isn't there. It only takes a few ounces up or down in the weight of a cue to make a large difference in the feel of the hit.
Since the typical cue weighs three times what the cue ball weighs it doesn't seem that a few ounces change in weight should make as much change in feel as it does. The 12-14 ounce cues are still twice as heavy as a cue ball but they feel almost like you bounced them off a brick when you hit the cue ball. A soft tip and ferrule helps but my old 12 ounce hummed like a tuning fork when I hit the cue ball.
Hu