Infinite tetration and superroot of infinitesimal

[Ivars]

Also, if it is "universal notation" as you say, then can you provide some references? So far all references I've encountered about infinitesimals and hyper-reals use \( \delta, \epsilon \).

Andrew Robbins

Yes it is imaginary unit =sqrt(-1) which is infinitesimal, in my thinking. Imaginary infinitesimal angles. That is a speculation. Infinitesimals of length are dx, dy.

No, I can not provide . The closest I have seen is this link from prof. Bell, and it involves epsilon - so far I have not been able to find a place for it in a scaled math. i*epsilon is infinitesimal imaginary. In my opinion, infinitesimal angle with infinitesimal length. But I am not sure.

http://publish.uwo.ca/~jbell/invitation%20to%20SIA.pdf

But spacetime theory in SIA forces one to use imaginary units, since,infinitesimally, one can’t “square oneself out of trouble”. This being the case, it would seem that, infinitesimally, Wheeler et al.’s dictum needs to be replaced by Vale “ic(t)”, ave “iε” !