Boundary-Conditioned Resonance and Corridor Readability in Double-Barrier Quantum Tunneling: A TCGS--SEQUENTION Interpretation

Double-barrier resonant tunneling is a standard quantum phenomenon in which a barrier--well--barrier structure can become transparent at selected energies despite strong off-resonant reflection. Taking the logically derived necessity of non-temporal four-dimensional Counterspace as its TCGS--SEQUENTION foundation, this paper develops a domain-specific cartography of tunneling through the stationary Schr\"{o}dinger, transfer-matrix, and resonance descriptions. The analysis distinguishes Counterspace, the ontic Extrinsic Constitutive Law, its formal cartographies, and admissible 4D-Counterduction. Its central separation is between a source corridor, an operational preparation--coupling--environment--measurement corridor, and a thresholded transmission band. High transmission is not identified with physical admissibility: reflection and weak tunneling remain lawful readouts. A phase-calibrated formulation distinguishes global scattering delay, boundary-to-boundary phase time, dwell measures, and resonance lifetime. Two conditional results quantify the operational map: a thresholded Breit--Wigner band has width $\Gamma\sqrt{T_{\max}/q-1}$ when $T_{\max}\geq q$, and an inherited resonance of an ideal repeated delta-barrier module retains its center while its local linewidth narrows by the repetition factor. A driven one-mode calculation separates stationary multistability from protocol-realized memory. Reproducible numerical checks compare independent boundary matching with the exact transmission formula and provide computed transmission and branch-structure examples. The contribution is a typed, operationally constrained account of resonance, coherence, timing, and branch selection. Further transport-map construction concerns restricted source-to-observable relations and their cross-carrier transfer, while the foundational derivation supplies the direction of explanation.