The Polyheligon Sphere

In today’s post I make the proclamation that the theory of reflective gravity, as it relates to the movement of molecules, is ready and more or less publishable! What makes me so confident is the mathematical model of the polyheligon, introduced in my previous post. Today I show that you don’t only make donut-like shapes with it, but with only minor modifications, you can also make spherical (or more accurately quasi-spherical) shapes as well.

The curious thing is, that this shape is qualitatively pretty much identical to a shape that I had drawn over three years ago, trying to explain the Theory of Everything by explaining how a string can encircle a sphere. However, back then, I didn’t know nearly as much mathematics, or physics, to properly analyze the shape. Rather, when I finally came up with equations to explain the folding of an indented helix into a sphere, the shape had changed. Rather than having the strings completely pass the poles of the sphere, The equations caused resulted in each of the strings passing the pole, creating two enormous bulges.

While these equations, now well over two years old, weren’t physically true, they held a mathematical truth. Thus, we take the indented helix of the old equations, and this time bend the helix after each turn so that the helix passes over the previous turn at a quarter turn mark, as well as the three-quarters turn mark. This way there is no true curving  in the shape: just reflections from on turn to the other.

Here is a very rough (still incorrect) model of the main principles:

I think I should be able to come up with a precise model quite fast. When the model is ready, this should explain how molecules can move as a single string at a constant speed around a single spot.

The funny thing is that I actually came up with this shape by trying to write the simplest possible explanation for how my colloidal lignin spheres work as adhesives. You see, at the heart of the manuscript is my hypothesis of how molecules actually move in solutions when they’re not yet doing anything very interesting. While the donut-like polyheligon model was important to explain the nature of lignin, this polyheligon sphere explains both the nature of solvents and that of liquid water. At least on a very basic level.

I still can’t say with 100 % certainty that there won’t be any surprises left. But if I were to guess, I should be able to get my theory past the peer reviewers, just as long as I leave the more speculative parts out, or at most include them into the last chapter of the supplementary information with a title of “Speculations”, or something similar.