I was trying for a simple explanation. Obviously too simple.

As the gif illustrates, the plane of rotation is orthogonal to the plane of translation. The sine wave is then observed as a trace on the plane of translation. So it is a helical path mapped on to a side view using complex numbers. A combination of the two kinds of motion taking place and the projection of that onto a plane of observation.

. It confirms my interpretation that when you evoke "a sea of U1 photons", you are talking about the unreachable limits between which time and the universe happen. — Olivier5

I’m not sure what you mean there. For what I have in mind, refer to figure 6.2 in this excellent paper - https://www.mso.anu.edu.au/~charley/papers/LineweaverChap_6.pdf

A better visualisation of the motion here - https://youtu.be/JSBw-JyFgZk

True by definition of what a sine is: a projection.

I’m not sure what you mean there. For what I have in mind, refer to figure 6.2 in this excellent paper - https://www.mso.anu.edu.au/~charley/papers/LineweaverChap_6.pdf — apokrisis

Interesting, though quite speculative of course. We know little, still. E.g. i suspect panspermia theories would throw a wrench in those math.