CASE 07 · ATOMIC MATTER

Hydrogen is not one problem. It is a firing squad.

A classical atom does not earn survival by merely refusing to collapse. It must reproduce the measured architecture of atomic matter.

Stability is the entry ticket. Spectra, splittings, intensities and lifetimes are the trial.

First: publish the wound

Standard stochastic electrodynamics is not a finished answer. Long numerical and analytical work by Theo Nieuwenhuizen found that the ordinary Coulomb hydrogen atom in standard SED self-ionizes; his 2020 study reports that several noise-renormalization attempts do not cure it. That red cell stays public.

Minimum target: stable stationary state + observed radial statistics + no hidden trajectory rejection + correct response to perturbations.

Then demand the spectrum

RYDBERG SERIESRecover the 1/n² energy structure and isotope/reduced-mass dependence from the declared matter dynamics.

FINE STRUCTURERecover relativistic splitting and its α scaling without importing the quantum spectrum as a boundary condition.

ZEEMANProduce field-dependent magnetic splitting, polarization structure and anomalous cases.

STARKProduce linear and quadratic electric-field shifts across the regimes where classical orbit models succeed and fail.

SELECTION RULESDerive forbidden/allowed transition structure and polarization from physical radiation coupling, not a lookup table.

INTENSITIES + LIFETIMESGet oscillator strengths, branching ratios, linewidths and spontaneous-decay times from the same dynamics.

The historical cracks are useful—but not enough

Sommerfeld’s old quantum theory famously obtained the hydrogen fine-structure formula using relativistic elliptical orbits, a historical warning that a successful formula does not uniquely certify the later ontology. But old quantum theory imposed quantization conditions, so it does not satisfy this project’s fully classical ontology contract. It is evidence against simplistic historiography, not a completed reconstruction.

The Stark effect is even more instructive. Hooker, Greene and Clark found that a classical hydrogen-orbit treatment can reproduce the linear Stark energy shift accurately given appropriate initial conditions, while the quadratic Stark effect fails except toward the correspondence limit. That gives us a precise green/red boundary instead of a slogan.

Semiclassical success must stay labeled semiclassical

A 1999 semiclassical random-electrodynamics calculation uses a classical zero-point electromagnetic field but quantum atomic states. It recovers the Einstein A coefficient and the nonrelativistic QED Lamb shift. Valuable? Yes. A fully classical atom? No. The scoreboard credits the electromagnetic mechanism without laundering the matter model.

Atomic audit, v0.3

Target	Current reconstruction status	Kill condition
Ground-state stability	standard SED fails	Self-ionization or runaway tails
Rydberg spectrum	open under ontology contract	Imported quantization rule
Linear Stark	classical orbit correspondence exists	Fails beyond specified initial-condition regime
Quadratic Stark	ordinary classical orbit model inadequate	Wrong second-order shift
Fine structure	historical orbit formula; not fully classical under this contract	Cannot reproduce full state structure
Selection rules / strengths	open	Ad hoc forbidden-transition table
Lifetimes / Lamb shift	semiclassical field mechanisms strong; matter still quantum	Needs imported atomic eigenstates

Primary controls

Nieuwenhuizen (2020): standard SED hydrogen self-ionization
Hooker, Greene & Clark (1997): classical Stark effect
Semiclassical random electrodynamics (1999): spontaneous emission and Lamb shift
NIST: Sommerfeld and the fine-structure constant

Do not ask whether a classical atom can be imagined. Ask whether one set of objective dynamics can survive this entire table.