Dimensional Scaling of Quantum Information Dissipation

QJSD contraction under d-dimensional depolarizing dynamics: Γd = γ (1 + 2/d). Main result: The dissipation rate Γd = γ (1 + 2/d) interpolates between Γ₂ = 2γ (qubits) and Γ∞ = γ. The universal ratio Γ₂/Γ₃ = 6/5 provides a parameter-free experimental prediction. v6 changes (CRITICAL CORRECTIONS): - REMOVED false Lemma 6: The pinching argument "pinching increases ratio" is incorrect. Numerical tests show pinching decreases the ratio in ~37% of cases. - REMOVED false Lemma 8: The pairs formula R = max_{j Rₚairs = 1. 062. - NEW unified proof in Lemma 7 using localization, log-mean concavity, and secular equation analysis. - Main results η = (1-p) ²/s and Γd = γ (1+2/d) are UNCHANGED and now CORRECTLY PROVEN. Proof methodology: 1. Localization: Global supremum equals local (tangent space) supremum via ε→0 limit2. Off-diagonal bound: cᵢj ≤ 1/s via concavity of logarithmic mean3. Diagonal bound: R 04. Achievability: ω_δ states with λ₁ = λ₂ = (1-δ) /2 achieve C → 1/s GitHub: https: //github. com/alt178332/jsd-contraction