Precise Wavelength Probe and Bounded Recoloring in Treewidth-2 Graphs — E8 Intelligence Research

FINDING: No direct mathematical discovery in the submitted set; the closest is the graph recoloring result (treewidth 2) and the fine-structure constant wavelength precision. | MATH: The recoloring result references Jerrum's theorem: any $(d+2)$-coloring of a $d$-degenerate graph transforms via adjacent colorings; for treewidth 2, the shortest transformation length is bounded but not given in the abstract. The fine-structure constant probe requires lab wavelengths to $6 \times 10^{-8}$ relative precision — no explicit equation or constant value for $\alpha$ is stated. | CONNECTION: None explicit. Treewidth 2 graphs relate to series-parallel structures, which have a recursive decomposition — a weak echo of self-similarity but no golden ratio or crystallographic symmetry. The hexaquark SU(3) antidecuplet is a root-system structure (A2), but no numerical ratios are given. | DEPTH: 2 — these are applied abstracts; no novel mathematical essence extracted. The only structural link is SU(3) ( Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com