An excelant suggestion perhaps. Just please don't include my actual appearence etc. in any of your openness posts.
What I am getting at, please try to go through my Blame Woggy proof again, is that you can arrive at the same estimate for variation from the mean, via the framework I gave, as you can from standard normal estimates, such that you can develope a reproof of the entire Central Limit Theorem. But all that has been done on distribution before is based on a 2 dimensional analysis of distribution. Instead, by basing a derivation on a framework that is inheirently mulidimensional, you might be able to develope new analytical statistics tools, to add to the usual standard normal distribution, binomial T-tests, and others.
I hope this restatement helps.