The Water Polyheligon

After about two weeks of toiling, I’ve finally figured out how to make a mathematically accurate polyheligon sphere. This more or less means that the theory is sufficiently ready to publish. In terms of the general geometry the new accurate model might not appear that different from the model from two weeks back, but physically it has required a lot of hard work.

You see, the only way to make a polyheligon is to begin with a helix of molecules with 100 % rotational motion and 0 % linear motion. When you introduce linear motion, the sum of the rotational and linear components is constant.  This means that if the rotational speed decreases, the linear speed increases so rapidly that even if the helix reflects around a single center and even with a small decrease in the radius of rotation, it takes only a few turns for the helix to have traveled half a turn around a spherical orbital. And the second half of the turn around the helical orbital, there must be and identical deceleration of the linear component.

I won’t bore you with how I derived the equations, but the above graph was obtained by plotting pitch of a helix as a function of the number turns (n) of helix progressed,

where L is the hydrogen bond length of water (0.28 nm) and D₀ the diameter of a water polyheligon (2734 nm).

Below is an illustration of half a water polyheligon. The shape begins with a blue helix of a single turn, which is actually part of two halves of the polyheligon. This is because of a limitation of Blender. The first helix should only have half a turn, but Blender allow the drawing of only integer helices. If you look closely, the angle of the beginning and the end of the helix, as measured from the center of the polyheligon, increases as the pitch of each turn increases. The angle of the blue helix is just about 14 degrees (half of it being ~7°), whereas the angles increases to ~22°, ~30°, ~36°, ~40° and finally ~44 degrees, with the sum being 180 degrees (without rounding).

And if the above shape is mirrored to produce the ‘decelerating half’ of the polyheligon, we get this shape:

As the aspect ratio of an individual water molecule and the diameter of this shape is roughly 10 000 to 1, one cannot actually see that the helices don’t overlap. Also, because of this I actually drew the illustration with helices with just one radius (the thickness of the helices in the illustration is about 100 larger than in ‘real life’).

So, is this illustration the only possible explanation for reflective gravity? Not necessarily but at least it’s the first mathematically/physically feasible model that I know of. That is, the true motion of molecules can be different, but with all probability, they at least need to follow the logic presented in this model. I’m already checking the details of the mathematics and have already found minor errors, so at least some corrections are required.

What is important is that this model is (almost) good enough to submit for peer review! Now I just need to finish my manuscript.