← NS-RFP / RFP-11 · Pathwise Coercive Actions, Dangerous-Core Filtering, and Dynamical Guard Coverage

v0.1 Cycle I 2026-08-15

RFP-11: Pathwise Coercive Actions, Dangerous-Core Filtering, and Dynamical Guard Coverage

Pathwise Coercive Actions, Dangerous-Core Filtering, and Dynamical Guard Coverage

RFP-10's main audit conclusion: certificate compactness does not equal dynamical coercivity — the nine per-edge tax boundary faces still cannot constitute finite obstruction. More importantly, RFP-10 finds that even bounded taxes can still escape internally via I-A (Σlog𝔗^adj_n=∫‖∇u‖_∞dt=∞, among others). This round introduces pathwise actions grounded in standard Navier–Stokes regularity theorems; combining the energy inequality with a mid-eigenvalue criterion, proves a mid-strain temporal-intermittency inference; integrates Miller's strain–vorticity perturbation action with Bradshaw–Grujic's frequency-window action into a dynamical-necessity filter; proves the ten-channel RFP frontier reduces to the intersection with a triple-divergent-action core.

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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