← NS-INRS / 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.
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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