I wonder if the three dipoles in a generation I Noether energy core will tend to reach a resonant set of frequencies based on the nesting. What defines those resonances? How can this be described mathematically?
I’ve seen a number of videos pop up lately about auto-resonance. That makes a lot of sense. I’ll watch some of those. This might tie in to Koide. Furthermore there is this idea of all three orbitals (wave equations, circular/elliptical planar orbits, precessing orbits) tilting and approaching the same plane – as energy of the particle increases (velocity, acceleration, etc.).
Here is Steven Strogatz speaking about systems of oscillators that synchronize themselves. I think this may be important for understanding Noether energy cores.
I suspect that the three nested dipoles in a Noether generation I energy core will auto synchronize. We can imagine that the electrino and positrino in each dipole are orbiting each other and are following their wave equation on the surface of the sphere defined by the dipole radius (it could be an oblate spheroid in some conditions).
When the Noether energy core structure as a an entity is at rest with no external fields (other than nearby spacetime aether particles), the three dipoles would typically be orthogonal. Imagine each dipole orbiting in a plane in the set xy, yz, xz to visualize the concept. A generation II Noether energy core is missing the outer dipole. A generation III Noether energy core is missing both outer dipoles.
Energy increases from the outer dipole to the inner dipole. When the overall particle energy is on the lower end of the scale, the dipole energies are orders of magnitude different from each other, and this corresponds to the masses of the fermions. Of course each fermion is decorated with its personality flavor made of electrinos and positrinos.
Notice how the shielding pattern will depend on the superposition of the dipoles rapidly oscillating potential fields. The radius of each dipole is determined by its frequency. Then the distances between dipoles determine the strength of the action which falls off with distance. Spacetime aether assemblies are exceptional at shielding energy if we are to believes the Higgs energy is internal and shielded.
The electrinos and positrinos in an isolated dipole with group velocity zero, at any energy, are are in a constant state of traveling past one another along two parallel lines and seeing each others potential emissions from a shadow determined by the emitter’s velocity. As the energy of the dipole changes in h-bar j-s quanta the radius of the dipole also adjusts. This behaviour becomes more complex when we have nested dipoles and precession. However, when group velocity is zero, still I presume the path of each point charges is along the surface of a sphere possibly with small assembly self-perturbations, but still the two point charges are always in a symmetric equal and opposite portion of their orbit.
I have an intuition that auto-synchronization of dipole energy levels is the root cause of the numerology revealed in the Koide formula about the masses of fermion generations. While I am a skeptic of numerology, I’ve always had a hope that the Koide formula could be related to the fundamentals structure of particles.
The Koide Formula. Like many other enthusiasts, I find it fun to look at observations that may be numerology or may be some clue about nature. As a matter of due diligence I think it is important to examine the dipole assembly and look for any correlations to Koide’s formula.
This also reminds me of the equations from ‘t Hooft and his cogwheel gear model. I suspect the ultimate point charge dynamical geometry will be mappable to each of these theories.
J Mark Morris : San Diego : California
Neoclassical Physics and Quantum Gravity 