← NS-INRS / DCRP95 / X72R78 · SGS Phase Slip and the Total-Variation Audit

NS-INRS · DCRP95 / X72R78 NO-GO 2026-08

DCRP95 / X72R78: SGS Phase Slip and the Total-Variation Audit

Following DCRP94's proof of uniform circulation reset, this round refines it by orientation into a sign-coherent SGS reset, and proves that its positive total variation V_{Γ,+}^{SGS}(N) grows at least linearly — meaning the final compact reset source is not an occasional or sign-canceling defect, but a sign-coherent, positive-density coarse-grained circulation-flux conveyor. However, invoking Eyink's circulation-cascade theory, it notes that classical vortices are not quantized, so no integer vortex-crossing inventory exists for each reset to draw down — hence there is no finite-crossing-capacity contradiction (No-Finite-Crossing-Capacity). It finally fixes the surviving paradigm as the sign-coherent SGS Kelvin phase-slip conveyor C_slip, and notes that the next round must instead seek a rigidity theorem at the level of increasing Young-measure profiles, rather than attempting another energy- or encapsulation-tax argument.

This round's status: NO-GO — 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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