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 = maxj<k[(1/λ'_j + 1/λ'_k)/(1/λ_j + 1/λ_k)] is incorrect for d≥3. Counterexample: d=4, p=0.6, λ=(0.578, 0.210, 0.180, 0.032) gives R_true = 1.130 > R_pairs = 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 Γ_d = 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: c_ij ≤ 1/s via concavity of logarithmic mean3. Diagonal bound: R < 1/s via secular equation Φ(1/s) > 04. Achievability: ω_δ states with λ₁ = λ₂ = (1-δ)/2 achieve C → 1/s GitHub: https://github.com/alt178332/jsd-contraction