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  • Writer's pictureKalle Lintinen

Curves Don't Exist

In today’s post I make at the same time a monumental discovery, but also talk about something that I’ve also intuitively known for some time. This discovery is that there are no truly continuous orbitals for the elementary particles of energy (dots). What this means is that the dots move in a straight line until there is an impact. Upon the impact, the dots are refracted by an angle that is determined by the angle of impact, just as I showed in my last post:

The distance that a dot moves between impacts is 2r, where r is the radius of the dot, and the time that a dot moves between impacts is 2r/c, where c is the speed of light. Thus, the frequency of impacts (in Hz) is c/2r.

 

What this means for the saint Hannes knot orbital is that it isn’t smooth. Rather, the orbital looks like a polyhedral line, or a single polygon in 3D. The curious thing is that I haven’t found a proper name for such a shape. The standard definition of a polygon is:

In geometry, a polygon is a plane figure made up of line segments connected to form a closed polygonal chain.

However, there is an added requirement to a polygon: it must have flat surfaces. By this definition a saint Hannes knot cannot be a polygon. However, the shape cannot be a polyhedron either, as that too must have flat surfaces as well. By digging a bit deeper, the saint Hannes knot must be a closed polygonal chain.

 

So, what does such a closed polygonal chain look like. Well, I took one of my Blender images of the saint Hannes knot and reduced the number of points in the helical curve that defines it to make it look extremely angular: 



While the above video is exaggerated, the shape holds a fundamental mathematical truth about the universe: continuous curves do not exist in real life. They are a mathematical illusion. To put it simply: to change the linear path of a dot, there must be a discreet impact that changes the path of the dot. And when there is nothing apart from dots, this rule applies to all interactions.

 

However, curves are a very useful illusion and shouldn’t be discarded just because they don’t really exist.

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