Picture shows a sample run of the twist ring with an external field. Red curve is displacement, black curve is twist ring velocity, blue is the acceleration of the twist ring (it decreases over time as the twist ring moves away from the source (located off image to the left). The initial acceleration rise is not real, but an artifact due to a moving average getting enough data to compute.

I modified the model from a dipole approximation to an integrated sum of components on the ring, and got very clean results I did a large number of runs with varying field strength and displacements, and am getting very clear correlation with the expected analytic behavior. Looks like it is now working as expected–yayy! There’s still a lot more to be done including characterizing the exact analytic acceleration factor and working out other solutions in R3. Since this solution class is planar, the sim can get a valid solution in 2D, but other solutions will require expansion of the sim to handle 3D cases. In addition, I’d like to further refine the model to operate in an atom (Schroedinger wave equation) and to investigate a relativistic model variation.

This may all be science fiction, but it is the only working geometrical model I know of that shows correct underlying attraction and repulsion in an external field. QFT does mathematically derive attraction, but momentum conservation is an issue. In electrostatic attraction, photons emitted by the source particle have to pull the destination particle toward it–an apparent violation of conservation of momentum. I believe the QFT solution has the field absorbing the difference in momentum, but where does that momentum go once absorbed? The Twist Field solution clearly successfully solves that issue, and this successful result also points out some other important question resolutions.

Previously, I have posted that I felt that a point size particle for the bare electron was not possible because then its active neighborhood could not detect a direction for field potential. It would require a field vector and act on direction, which we know can’t be true–the electron is attracted to a charged source regardless of orientation. The electron has to be able to sense a localized change in potential, and the Twist Ring model clearly shows how that would work. There are still questions in my mind that the solution is clearly independent of either source or destination orientation, and there’s some real questions in my mind whether this works in relativistic environments, but one thing is for sure–this is the first time I’ve seen a working model that has the correct quantitative behavior.

Agemoz

Tags: electron, electrostatic, simulation, twist theory, vector field

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