← NS-X72 / X72-22 · Relative-Source Continuous Tilt Curvature

NS-X72 · X72-22 Decomposition 2026-08

X72-22: Relative-Source Continuous Tilt Curvature

Continuing from Round 21's abstract relative source R_S and intermittency production 𝒫_sel (STOP-C25), this round decomposes R_S in full into six exact components — strain self-amplification, vorticity coupling, pressure Hessian, quotient growth, relative diffusion, and gauge maintenance — and re-integrates the discrete p=0,2,4 moments into a continuous moment-order tilt family μ_p, p∈[0,∞). It proves the exact logarithmic intermittency law (log𝔍_S)'=-8ν⟨|∇logK|²⟩₄+3[⟨G_Q⟩₄-2⟨G_Q⟩₂+⟨G_Q⟩₀]+2[⟨R_S⟩₄-⟨R_S⟩₂], and obtains a weighted pressure-commutator identity, showing that the pressure relative source survives only through a weight-gradient commutator. The route halts at STOP-C26 (continuous-tilt-selection / relative-source gap): whether the continuous tilt bias must be suppressed by relative Fisher smoothing remains unknown, passing the baton to the next round to substitute Round 19's λ₂⁺ and confluence ratio χ_C into this tilt-covariance law for a genuine coupled test.

This round's status: Decomposition — 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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