← NS-DCRP / DCRP-52 · Palinstrophy Criticality Audit and Gaussian-Batchelor Return Rigidity

NS-DCRP · 52 NO-GO + Uniqueness 2026-08

DCRP-52: Palinstrophy Criticality Audit and Gaussian-Batchelor Return Rigidity

Proves a critical NO-GO: the positivity of the raw normalized palinstrophy is not by itself sufficient to yield a same-source finite-budget contradiction; identifies the diffusive Batchelor branch as a legitimate strain–diffusion balance rather than a defect, and proves Wasserstein contraction and uniqueness for the recurring Gaussian profile.

This round's status: NO-GO + Uniqueness — 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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