09/10/2009, 06:38 PM

Playing somewhat more with the grand unity conjecture, I developed the islog at e.

(A short description of that means can you find in the same thread here.)

We know that the regular super-exponentials at both fixed points 2 and 4 are different, though have only a very small deviation on the real axis (see here the green curve.)

And indeed the intuitive slog is developable between 2 and 4 (here done at e) and gives there a curve which is similar to (both) the regular superexponential(s) (but of course mirrored at y=x).

This is the real number plot between 2 and 4, with additive constant such that slog(e)=0:

Is it equal to the regular iteration at 2 or to the regular iteration at 4?

Or is it something in between?

(A short description of that means can you find in the same thread here.)

We know that the regular super-exponentials at both fixed points 2 and 4 are different, though have only a very small deviation on the real axis (see here the green curve.)

And indeed the intuitive slog is developable between 2 and 4 (here done at e) and gives there a curve which is similar to (both) the regular superexponential(s) (but of course mirrored at y=x).

This is the real number plot between 2 and 4, with additive constant such that slog(e)=0:

Is it equal to the regular iteration at 2 or to the regular iteration at 4?

Or is it something in between?