Structural Derivation of $N_{\mathrm{CMB}}$ from the PDL Neutron Architecture: A Parameter-Free Resolution of the Hubble Tension

Within the Projective Dynamic Logo (PDL) framework, the Hubble tension was resolved in D26 by expressing the ratio H₀_local/H₀_CMB as √(σ(N_local)/σ(N_CMB)), where σ(N) = 1−(1−κ)^N is the surface engagement fraction derived from the proton integer quintuplet (24, 28, 930, 10087, 11017) and κ = R_surf/R_tot = 310φ/11017 ∈ ℚ(√5). In D26, the parameter N_CMB ≈ 40.8 was calibrated from the observed Hubble ratio. The present paper removes this calibration entirely. We show that N_CMB = 40 is the floor of the PDL neutron mass gap Γ_n = 6μ_n − R_tot(n) = 40.102, a structural integer derived independently in the PDL nuclear stability programme (D22) from the neutron integer quintuplet without any cosmological input. The derivation uses only the proton quintuplet, the proton–neutron compatibility constraint R_tot(n) = R_tot(p) − (Δn+1)² = 10992, and the CODATA 2022 value of μ_n = m_n/m_e. No cosmological observable enters. With N_CMB = 40 (structural, from D22) and N_local = 120, the PDL framework predicts H₀_CMB = 67.26 km/s/Mpc, within 0.27σ of the Planck determination 67.4 ± 0.5 km/s/Mpc, with no adjustable parameter. The Hubble tension is now a fully structural prediction of the PDL programme: its amplitude is encoded in the integer architecture of the neutron, which descends by exact combinatorial derivation from the same proton quintuplet that fixes the fine-structure constant and Newton's gravitational constant. As a secondary result, a numerical conjecture for the coherence leakage ε_G is reported at 17 ppm accuracy using only structural quantities κ, C = 575/576, and R_tot = 11017. If proved as an exact identity, it would complete the parameter-free derivation of all three fundamental couplings α, G, and H₀ from the single combinatorial object (24, 28, 930, 10087, 11017).