09
◇ part II · applications

An atom is a standing wave of the pond — anchored by a charged throat and shaped by electric pull

Three things meet in an atom: a charged throat, standing-wave matter around it, and the electric pull that holds the whole pattern together. The current research supports a limited but important claim: in the atom-like limit, the model recovers the familiar Bohr scale and binding scale. That is a first atomic result, not yet a complete precision account of every hydrogen spectral line or the electron's small magnetic anomaly.

◇ the standing wave

Why bound states are the natural target

The intuition still goes through. A charged throat plays the role of a Coulomb centre. An electron-like defect is a spread-out wave configuration, not a hard little ball. Bring the two together and the natural question becomes: what standing-wave patterns fit around the centre?
◇ the spectrum

Hydrogen has a reduced Bohr-scale result, not a finished full-spectrum theorem

The right claim for this page is modest but still interesting: in the Coulomb limit, the reduced action produces the familiar Bohr radius and binding scale as an energy minimum. The repo also isolates correction channels from finite localization, finite throat response, and inherited GNLS stiffness. The full hydrogen spectrum is still open work; the result here is the reduced Bohr-scale result, not every spectral line.
That does not mean the atomic story is empty. It means the landed claim is the reduced hydrogenic sector and Bohr scale; the complete precision spectrum remains a target.
◇ the electron anomaly

The electron's small magnetic mismatch has narrowed, but it is not finished

In ordinary measurements, the electron's magnetism is almost exactly what the simplest point-particle model predicts, but not quite. That tiny mismatch is called the electron anomaly. In this framework, an electron-like throat is not a mathematical point, so its magnetic response can carry a small correction from the structure of the throat itself.
The current work has narrowed that correction to one remaining microscopic choice about how the electron's throat connects through the hidden direction. That is meaningful progress, but it is not yet a completed derivation of the measured electron anomaly.
the program's honest claim
The anomaly no longer looks like a wide-open fitting problem. In the current notes, most of the structure has been accounted for, leaving one remaining branch choice inside the throat model. Until that choice is derived, the anomaly stays an in-progress target rather than a closed prediction.
◇ what else is on the list

Other targets under the same umbrella

Once the remaining branch and finite-size data are under control, the same machinery is supposed to feed several precision observables:
Muon g−2
A candidate precision target, not yet a closed prediction.
Lamb shift
A geometric short-distance correction target, still open.
Hyperfine structure
A natural downstream target once the bound-state bookkeeping is stabilized.
Atomic precision tests
The place the framework would have to cash out its Coulomb-limit story quantitatively.
◇ honest stance

QED is the benchmark this page still owes

QED already owns this terrain experimentally. So the right standard for the fluid picture is severe: if it wants to talk about atoms and anomalies, it has to reproduce the same numbers. This page should read as a map of the reduced foothold and the remaining target, not as a declaration that the target has already been fully hit.
◇ up next

Next: the ledger

The next chapter does the same honesty exercise for gravity: which PN rungs are already closed in the current hierarchy, and which still wait on the moving-throat branch.
← previous08 · Light, Waves & the Speed Limitnext →10 · The Post-Newtonian Ledger