Here are 3 different lines around a track which has 75' inside of corner radius, and 115' outside of corner radius. Depending on track condition, other drivers getting in the way, how the kart is working... these are 3 different lines around the track (out of probably an unlimited number). What does math say the stagger should be?
I believe what the experienced guys here are saying is that they look at the condition of the track, their setup, maybe where the fast line was for the previous couple of heats, and they intuitively know what the stagger should be (or at least damn close).
There is no doubt that with simple math, corner radius vs. distance between rear tire contact patches can arrive at some value for the "ideal" stagger -- but the problems are: the line is always changing, the track is always changing, and the kart is probably rarely going in a straight line on most tracks (it's *always* turning to some degree).
And so my take is... math is fine, but handling is such difficult thing to quantify that the guys with experience are subconsciously blending a lot of different things and they know where to start, and which direction to go to achieve a desired result. Math doesn't cut it... far too many variables.
Now if someone wanted to use math to determine the largest radius turn the kart ever makes (bend in the straightaway), and tightest turn the kart ever makes (following the inside of the corner all the way around it), and come up with a range where the math says: "stagger should be between this value and that value", then there might be something.
PM