It’s been over a week since my last post. This is not due to not having thought about the Theory of Everything via the reflection of elementary particles of energy (dots). Rather, the opposite. I have tried to find proper ways of explaining the movement of dots that would allow only reflections, and changes in direction of movement to explain to how dots move in an orbit where each step is of an equal length, but still causes a closed-loop orbit.
While my previous post of future particles was useful logic-wise, it didn’t really explain the geometry of reflection.
The problem in geometry is that reflection should cause a cross-pattern of dots to be reflected in such a way that after reflection the particles should remain in a cross-pattern, but in a circle tilted around two axes. The only helpful feature is that the circle can expand (or contract) in the process.
One of the jarring questions has been about how two dots can, starting in the same plane and moving at the exact same speed, transfer from one plane to another plane that is not parallel to the first one, but still be connected to the first plane. Or, even more specifically, how can you have the circular orbital (with a radius of half a dot, r) around which the dots revolve, that tilts, even when the dots that move along the orbital should at least at some point move into a plane that is parallel to their original alignment?
This sounds awfully complicated without an image. See below: two (red) dots begin at the same distance from the center, but their reflection is opposite: one reflecting toward the center (left) and one reflecting away from the center (right). After moving a certain distance (there source of which we won’t discuss here) both dots must be in a plane parallel to the original one (plane marked with a horizontal dashed line).
However, if we don’t consider this second plane to be infinite, but rather a circular plane, we can make the plane tilt. But this requires some mathemagics. If the original plane in a (green) circle on the first plane, it looks like regular line in the above projection. However, when this circle is shifted upwards, and tilted along two axes, the two (green) dots on the can be located along this shifted (black) circular plane.
And if the above static image is confusing, this is what the shape looks like when rotated around the horizontal axis:
So, can I solve the Theory of Everything with this? Definately not immediately. This is just one more piece to the puzzle. Initially I hoped that I could advance more with this realization. However, this is again one mountain top that masked an even higher mountain top beyond it.
I'm currently preparing for a long battle with the mathematics. It seems every new problem I encounter is increasingly more challenging and every solution seems smaller in comparison to the initial discoveries that I've been posting. But rest assured, as soon as I discover new things, I'll write posts about them.
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