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NS-INRS · DCRP74/X72R57 Normal Form 2026-08

DCRP74/X72R57: Vector Annulus Tax and Counterflow Conveyor Normal Form

Continuing from DCRP73's restoration of the global frontier to 'active X vs. material turnover', this round points out that the T turnover branch simultaneously carries two obligations that are mutually independent (per DCRP49): DCRP31's inward PFET and DCRP35/59/73's inward enstrophy turnover. The correct conserved object is therefore a vector current rather than a scalar, with both components possessing a strict positive lower bound on the compact normal-form class. The key new identity takes the material-packet ratio Q_D=K_D/Z_D and derives Q_D'=2γQ_D-Π_P/Z_D: if a closed, zero-stretch material packet recurs periodically, it must output strictly positive pressure work under enstrophy-weighted averaging, while DCRP31 simultaneously requires the fixed Euler core to receive inward PFET — the two form an oppositely directed 'counterflow conveyor' without violating D49 (the observers differ). The two currents' physical scalings ℓ^{3-2α} and ℓ^{1-2α} are of the same order once converted and can be summed, so scaling alone cannot manufacture a contradiction. The conclusion is that the surviving T equality state is a 'scale-matched, pressure-mediated counterflow conveyor' normal form, and whether it is truly silent toward X72 pressure curvature is left to DCRP75.

This round's status: Normal Form — Taken from the file's own Executive result / STOP node, meaning preserved, not a full verbatim translation. The original paper itself was authored directly in English; only this page's own commentary (title, status, and summary) is translated here.

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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