In my last post, ”Correct Caterpillar”, I presented the first feasible model that describes all reflections between the four chiral unit spheres of reflection. But if you looked at the model closely, there were still a couple of discrepancies left.
In today’s post, I’m addressing the biggest one of them all: the points of reflection didn’t make full sense. If you look at the flyby paths and try to follow each one to their point of reflection, the directions of reflection aren’t logical. This meant that there was something wrong with the model.
That’s what I’ve been doing these past days: turning the model over and trying to see where I went wrong. After trying all the wrong things, I realized that the error was ridiculously small: I had misplaced a point of connection. This resulted in there being only three nodes of reflection where there should be four. Instead, there were two nodes on top of each other, making the reflection shape impossible.
So, here is the tiny correction that makes the model sensible: four reflection nodes (small green spheres) between two chiral unit spheres of reflection, each node connected to another node in either (but not both) of the unit spheres. To aid the eye, I’ve made everything apart from the flyby paths and reflection nodes transparent. I’ve added cones to the paths to give their movement a direction, but I think the model would work even if the direction was reversed.
Although the above model looks quite perfect, it’s a bit messy, because I twisted and turned the model so much to get to this point. Turning the model into equations, I should be able to straighten it. If it still looks good after that, I’ll be confident in saying that this is almost certainly the core of the theory of everything.
But I’m still trying to curb my enthusiasm. It’s just too easy to ignore errors when you’re excited.
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