← NS-X72 / X72-44 · Vorticity-Stress Triad Realizability

NS-X72 · X72-44 Counterexample 2026-08

X72-44: Vorticity-Stress Triad Realizability

Picks up STOP-C47 left by Round 43 — the abstract divdiv constraint has a full wave cone, yet is not enough to rule out a first-order transfer — and switches to periodic vorticity Fourier modes genuinely satisfying ∇·ω=0, testing directly whether invisible-stress modes and the visible/invisible transfer can actually be generated by real vorticity. Constructs an explicit divergence-free vorticity-triad witness (Fourier Cone Deconfinement), and proves that the actual visible/invisible transfer is nonzero and remains a sharp, one-derivative-order transfer at high frequency — directly refuting the algebraic shortcut that "the pointwise axisymmetric vorticity-stress cone automatically forbids the Round 43 transfer": static realizability depletion is refuted. STOP-C48 (Actual-Vorticity Triad/Dynamic-Only Depletion Gap) shows that the remaining route can only appeal to dynamic visibility, quartic alignment, and diffusion, and hands this to the next round.

This round's status: Counterexample — Taken from the file's own objective/executive-result section, meaning preserved, not a full verbatim translation.

Connections

Relationship to the rest of the series, stated as closely as possible in the document's own words, not my interpretation.

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