DCRP46: Gauge-Flat Annular Scalar Moment and Signed Transport Gap

Building on DCRP45's one-dimensional canonical-amplitude reduction, this round asks whether its signed regeneration can be supplied purely by internal vortex stretching within the annulus, or whether a genuine finite annular transport carrier is required, adopting DCRP44's unique periodic canonical gauge. Writing the canonical annular strain amplitude as a gauge-invariant weighted moment of the scalar q yields the exact transport identity a_ψ'+k(s)a_ψ=T_ψ(s); a periodic-average identity together with Jensen's inequality proves ∫T_ψ ds is strictly negative, and this sign survives robustly whenever the DCRP35/45 localization error is small enough. STOP-D46 therefore excludes the 'fully flat, aligned, periodic, zero-transport' branch, establishing that finite annular scalar transport is a forcing term with a strict signed periodic gap, left to DCRP47 to compare this transport current against DCRP31's PFET current under same-parent rescaling.