In today’s post I’m struggling with four kinds of helices. With helices that depict the location of dots, with helices that depict their absolute motion, their motion within their surrounding and their rotation in synchrony with their surroundings.
And I need to do this because you can’t understand matter without understanding these four different helices.
And here we get to the problem with mathematics. What is actually happening would we relatively easy to visualize, if you already knew the shapes of the structures involved. But before this I need to simplify. Let’s see if I’m able to do that. First look at the image below. The green helix depicts the arrangement of the elementary particles of energy (dots) arranged into an interconnected double helix. Except the spherical dots are replaced with a thin helix.
Next, you have the deep blue helices, which don’t look like a helices at all in this scale: just four curves. This depicts the movement of the dots over time. This is a bit confusing, as the rest of the image is just a snapshot in one instance of time and doesn’t apply in the future. Rather, the only proper way to understand the yellow helix would be to have an animation, but I can’t do that, at least at the moment.
Next, you have the yellow helices, which don’t look like helices either. On this scale, the difference between the two is not apparent. However, if one were to zoom out the deep blue helices would have a single turn and the yellow helices have three turns. And why did I pick three turns? Because it’s the smallest odd number after one and the helices cannot have a paired number of turns. The dots would be located at the intersections of the green helices and the yellow helices. But for now I’m not showing them.
Now you might ask, how can the double helix of dots be twisted three turns if the dots themselves move just one turn? This is because the movement can be combined in a tangential (almost linear) and rotational components. In a sense the rotation of the multiple-times-twisted double helix is to some extent the ‘attempt’ to unravel the double helix. But because there’s a closed loop of dots, the double helix won’t unravel. This rotational component is depicted in a helix with a 90 degree angle to the direction of movement along the yellow helix. And when you combine the tangential movement and the rotational movement (red arrow below), you get the actual movement of the dots, with only a single turn.
And what would you have, if there was no rotational movement? There would be only one turn for the double helix of dots and no spin. So, this is what a Higgs boson should look like. There should be no rotational component for the dots.
So, is this it? Can I write a manuscript describing both quarks and the Higgs boson? Perhaps someday, but probably not very soon. I’m only getting to understand the very basic principles of spin. There’s probably a whole lot of things to learn that I don’t even know about.
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