Tetration and Hopf fibration?

[Ivars]

Ya thats a great movie. Though I dont see the connection to hyperoperations.

I am sure degree n of Hyperoperations are related to dimensions of complex projective spaces. I am not yet sure what is the role of Hopf fibration or Robinson Congruence or Penrose twistors in all this exactly, but I have no doubt the domain of tetration is complex projective space of dimension 4 or complex projective manifold of dimension 4 in CP5 or its (4 dimensional spherical null (at infinity) manifold) cut with a line in CP3 ( in line coordinates of CP5-Klein quadric)-which is essentially twistor space.

Same for pentation etc. CP5 or 5 manifold in CP6. etc.

The reason why I think so is the speed of operations. The higher up in complex projective space dimensions one goes, the faster calculations need to be peformed to project it on lower dimensional spaces. So, to make an instant change in CP3, and infinitely faster calculation has to be made in CP4 over all points or those representing a 4 manifold in higher dimensional projective space and then it has to be projected in into CP3. . And tetration is doing this (calculation) , as are other hyperfunctions. Such projection is akin to differentiation/integration

From here also arises in my opinion the strange coincidence between asymptotes of hyperoperations and values of Z function at negative even n which was present in one of the Andrews graphs. Riemann Z function also moves out of complex plane and across complex projective space dimensions, that is why it is so difficult to nail.

And also, the strange approximation for constant alpha from pentation fixed point value 1,85... I made a year ago or so.

This makes sense if one considers that cause of difference between EM and weak interactions could lie in CP5 or CP6. Such models of Universe exist. Only hyperoperations are missing.

Ivars