Brane-to-Bulk-to-Brane Momentum Exchange in CL5D Phase III: Corrections to Paper 16, D3d/D2h Symmetry Analysis, and the N₂→N₁₂→N₂* Transition Pathway

This paper serves as the formal correction to Paper 16 and presents the theoretical framework forBrane-to-Bulk-to-Brane gravitational momentum exchange within the CL5D Hybrid Model. Ab initioB3LYP/def2-SVP single-point calculations (PySCF 2. 12. 1) for D3d and D2h N₁₂ cage geometriesreveal an energy gap of 139. 7 kcal/mol. The Collective Resonance Gain (G ≈ 5×10¹⁴) is shown to besufficient to bridge this gap, while the Ct Agent (η 10 ¹⁶) maintains D2h coherence at 5. 82× above ∼ ⁻the decoherence threshold for τ = 25 s. A corrected Gₑff formula is presented, resolving thedirectional inconsistency in Paper 16 (revised depletion: 74. 9% at τ, not 88. 3%). The N₂ → N₁₂ (D3d) → N₁₂ (D2h) → 5D Bulk → N₂* pathway is proposed as the Brane-to-Bulk-to-Brane transition. Allresults are computational; laboratory validation is the primary open requirement.