Abstract

The Influenza A PR8 HA segment exhibits strong k = 3 periodicity (codon scale) together with families of higher harmonics. Independent analyses (FFT→spokes, ring‑wise Z, phase‑ring coloring, and number‑theory ticks) converge on the same angular geometry predicted by the ΛΦ duplex.

Key Figures

Spiral AOL mapping of Influenza HA — Diagram 1 — Spiral AOL mapping of HA (bases colored).

Phase ring (bases) — Diagram 2 — Phase ring (A/C/G/T). Angular order preserved.

Diagram 3 — Phase ring colored by GC density (window=51).

BASE0123 spokes + number theory ticks — Diagram 4 — BASE0123: spokes + number‑theory ticks (k labels on rim).

Diagram 5 — GC spokes + ticks: same angular families as BASE0123 (independent signal).

Ring Z (entropy) — Diagram 6 — Ring‑wise mean Shannon entropy Z; stable across rings at codon scale.

Ring Z (GC) — Diagram 7 — Ring‑wise Z for GC; initial deviation then stabilization around 0.

Periodogram placeholder (same style) — Diagram 8 — Circular periodogram (HA GC indicator). Include the HA‑specific PNG when rendered.

Datasets & Downloads

HA summary JSON FFT top periods (CSV) Metrics vs nulls (CSV)

Add FASTA + SHA256, version tags, and code pointer for full reproducibility.

Notes

Spoke families at k ∈ {3, 6, 9, 12, …} match ΛΦ duplex expectation. KETO and PURINE masks show the same geometry, suggesting lattice‑level constraints independent of base identity.