Helium dossier

Three companion papers from the Paper P5 programme on the relativistic completion of coherence field theory: the structural synthesis of the six M-series milestones (M1–M6), the closed-form helium ground-state analysis it underwrites, and a review-tuned Marzlin-idiom presentation aimed at causal-perturbation audiences. All three are exported from their source LaTeX via pandoc + MathJax; the underlying .tex sources live in publication_plan/.

Relativistic Synthesis

The M1–M6 milestone arc: KG → NLS reduction, Q-ball / Higgs match, NJL → Yukawa contact, SUSY family staircase, Dirac-bracket projection of the two-time formalism, boost-covariant kink orbit.

paper_p5_relativistic_synthesis.tex

Helium under the Refined Ansatz

Closed-form evaluation of the M1 mass-velocity and M3 Darwin contact corrections on the screened 1s2 state, with Z2/Z4 scaling along the He-isoelectronic series and the bridge to the F4 Breit/Lamb sector.

paper_p5_helium_refined.tex

M5-Reduced Helium — Review Draft

Full draft tuned to the causal-perturbation idiom (cf. Marzlin & Fitzgerald 2018): Hubbard–Stratonovich contact decomposition, Dirac-bracket reduction of the multi-time density, isoelectronic predictions, falsifiable large-Z asymptote ΔErel/|ΔEMV| → −1/5.

marzlin_helium_paper.tex

Animations

Six M-series milestones (M1–M6) plus the two helium-specific composites. Each clip is 5–7 s long, H.264 / yuv420p.

M1. Klein–Gordon → NLS envelope reduction.
M2. Q-ball / Higgs amplitude mode.
M3. NJL → Yukawa propagator match.
M4. SUSY family staircase: Dirac-mode crossings.
M5. Ghost runaway vs. Dirac-bracket projection.
M6. Boosted kink orbit & 4-momentum mass-shell.
Helium triptych. ζ(τ) flow + radial-orbital relaxation + F4 limit cycle.
Helium quadriptych. Triptych + joint two-electron density.

How this route is built

The route /helium is served by Flask (see app.py). Each card links to a standalone HTML rendering of the corresponding LaTeX file, produced by scripts/build_helium_html.sh which runs pandoc --mathjax with a small Lua filter that rewrites \includegraphics{*.pdf} references to PNGs in website/helium/figs_*/. Re-export after editing the .tex sources with: 

bash scripts/build_helium_html.sh

Companion artefacts