DCRP47: Dual-Current Critical Scaling and the Characteristic Window

Building on the two forced finite-annular observables DCRP46 left behind — DCRP31's PFET current and DCRP46's scalar transport current — this round tests whether the two being simultaneously positive constitutes a new same-parent recurrence-exhaustion contradiction. The answer is no: exact same-parent rescaling shows the two currents scale as e^{-(5γ-2)S_0} and e^{S_0} respectively, landing precisely on the same critical scaling orbit, so the magnitude contradiction closes entirely. But this yields a new anisotropic divergence identity for the flat-pancake branch that excludes the closed elliptic response sector, forcing every nonzero survivor either into the characteristic window 0≤B_q≤1 or to output a finite boundary/transition flux. STOP-D47 confirms that the dual-current magnitude route is exactly critical, and that the real obstruction shifts to the flat-pancake characteristic compatibility equation, left to DCRP48 to derive the evolution of c=B_q and test the invariance of the [0,1] window.