Atomic Displacements in the RS

[MWells]

A useful clarification here is that a lot of the confusion comes from treating Larson’s notation as though it were the structure itself.

Larson uses more than one notational compression. In some forms the photon/reversal base is explicit, while in later atomic forms it is suppressed. So if one person is reasoning from a form that still includes the base and another is reasoning from the later compressed atomic notation, they can look “off by one” even when they are talking about the same structure. This is why hydrogen and the early rotational base can appear inconsistent if the notation systems are mixed.

Also, a-b-c should not be read too literally as ordinary geometric coordinates. They are displacement components of a rotating scalar-motion system:

• a and b belong to the two-dimensional magnetic organization
• c belongs to the one-dimensional electric organization

So the key issue is not “where is the missing third spatial coordinate?” but “what organization of scalar motion is being counted in each component?”

The electric/magnetic equivalences are also not best understood as naive Euclidean geometry. The atom is not built by taking a sphere or cube literally and then converting that geometry. The conversion rules are structural equivalences between magnetic and electric organization in the rotating scalar-motion system. That is why trying to interpret every step as ordinary area/volume geometry leads to confusion.

The safest way to reconstruct Larson is to keep four things separate from the beginning:

1. primitive base / reversal
2. magnetic organization
3. electric organization
4. notation compression

In practice, that means:

• start with the least-compressed form, not the finished atomic shorthand
• decide first whether the primitive/reversal base is still explicit or has already been suppressed
• keep magnetic and electric organization distinct
• do not mix particle notation, atomic notation, and early-base notation as though they were the same layer
• if something seems off by one unit, first ask whether one form includes the base and the other does not

So the safest way to read Larson is:

• do not assume one notation covers every context
• do not treat a-b-c as ordinary coordinates
• do not mix explicit-base and compressed atomic forms
• do not interpret electric/magnetic conversion as simple schoolbook geometry
• only compress to the later shorthand after the structure is already understood

That does not solve every problem, but it removes a large fraction of the unnecessary confusion.

[tundish]

Hi Mike Wells,

Thanks for the PM a few days ago but unfortunately account permissions don't allow me to reply

Just to summarize where I am right now. I have a number of Larson's books which I can refer to. However I am reading all I can of Bruce Peret, Gopi and Nehru since their thinking is more up-to-date.
Still further, I think your recent explanation of DFT would be an ideal starting point for me. Do you have an alternative location for those documents in case this forum has an outage?

I have created a Python package called reciprocus. It contains all my naive stumblings towards understanding of the problem space.
I began by teaching myself Quaternions. The existing scientific packages seem to emphasise Hamiltonian and Euler forms. So as an aid to learning I have created my own implementation using Rodrigues representation which is more rotation-friendly. That may complement or contradict your Gauge Theory approach, I wouldn't be able to guess yet

The signature link below points to my GitHub account. In case we lose touch, you can get hold of me there if necessary.

[Djchrismac]

Hi Tundish, I have removed you from the newly registered group, so you should be able to PM now.

[MWells]

Still further, I think your recent explanation of DFT would be an ideal starting point for me. Do you have an alternative location for those documents in case this forum has an outage?

A caution first: Dual-Frame Theory is not the full Larsonian picture. It is better understood as a reduced, post-projection treatment of scalar motion in extension space. In practice it is most useful for radiation-like phenomena, where a Hilbert-space-style phase description is a good effective representation. Unlike standard QM, it is constrained by a motion budget derived from Nehru’s Lorentz-factor work. Even so, I would not use it as the primary framework for magnetism, matter, or gravity, since those require genuinely multi-dimensional structure.

The more Larson-faithful direction, in my view, is the compact fiber formulation. That replaced an earlier gauge-theory route. The claim there is not merely that it is a convenient model, but that it gives a discrete admissibility structure for 3D scalar motion consistent with the published Larson/Nehru program. That framework has already been productive in atomic and radiation benchmarks: ionization energies, fine structure, polarization, interference, photoelectric thresholds, Bell correlations, and related results. Gravitational applications are still more exploratory.

So if your aim is orientation, I would treat the older Dual-Frame material as a useful entry point for radiation and representational questions, but not as the endpoint. The compact-fiber work is the stronger foundation.

On document location: yes, I am organizing the compact-fiber work into public repositories, and I expect to mirror the main papers/notes outside the forum so they are not dependent on forum uptime. Once that is in place, GitHub and Zenodo will be the stable locations.

Also, your Rodrigues/quaternion work sounds worthwhile. Even if the compact-fiber program is not built on quaternion machinery, anything that improves rotation bookkeeping and clarifies representational structure can still be useful at the effective-description level.

Glad to stay in touch.