In my last post I showed how to fold a bikau quadrilateral within a sphere of reflection. For those who are new to this blog, or have just forgotten, a bikau is word I’ve given to the simplest possible model of a molecule. By interactions it is a connected pair of spheres that can vibrate along their common axis, so that it passes from a state where the spheres don’t touch to a state where they do. For mathematical illustration, it is better to simplify a bikau to a vector with a length of the diameter of a single sphere of a bikau. And the quadrilateral is drawn by defining the divergent paths of the two ends bikau, leading to its folding along two circular paths that with an identical radius form a cylinder of folding.
So, how does this new insight into reflection match with my older posts? In some parts perfectly, but in other parts I might need to altogether scrap the older ideas. However, there are plenty of instances, where I don’t need to scrap the whole theory but just need to revise it with a heavy hand. This is the case with my Perfect Pétanque model. This model was constructed for elementary particles of energy (kaus), but the same principles should apply to molecules as well. When assuming that the circular planes of reflection touch each other, the Perfect Pétanque model would be accurate. However, with cylindrical folding, the hinged pétanque must be corrected to the bikau pétanque modeled below:
Except this might not be the perfect model yet. This is just a rough illustration of how two folded bikau quadrilaterals could be fitted within a single unit sphere of reflection.
Again, it will take some time for me to get to grips with this model. It might be very close to the final truth, but there is still a possibility that this is just a wild goose chase. I’m expecting the former rather than the latter, but I’m clearly biased.
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