From Planck to Hubble with one coupling cosmology, baryogenesis, and galactic dynamics from K5

From Planck to Hubble with one coupling:
cosmology, baryogenesis, and galactic dynamics from K₅

The coupling α* = 1/(4 ln 2), fixed by Bekenstein–Hawking in P1 and used without recalibration to derive nine fermion masses (mean 2.4%, P2) and m_H/m_W = u⁵ (+0.73%, P3), is extended to the cosmological network. Seven predictions are established from α* alone:

(i) G_N = ℏc/(m_e exp(50 + α*u¹⁶))² at +0.29% of CODATA, from α* and m_e alone, with no gravitational measurement as input
(P15, T1|T2);
(ii) δG/G = (c−b)/C(5,2) = 1.353% (Lamine et al. 2025: 0.001σ);
(iii) a₀ = α*cH₀/2 = 1.2002 × 10⁻¹⁰ m s⁻²;
(iv) H₀ = 68.49 km/s/Mpc (DESI 2024: <0.02%);
(v) η = 5.929 × 10⁻¹⁰ (−2.87% Planck);
(vi) a dark-matter acceleration law g_DM = (a₀/α*) z e⁻ᶻ with z = α* x^{γ(x)} and γ = ½ + (1/|E(K₅)|) e^{−√x}, derived from the face-excitation ontology of P2–P3; 
(vii) a composition modulation and network smoothing whose six
coefficients are all combinatorial invariants of K₅.

The 150 ppm inter-laboratory dispersion in G measurements (the "G-crisis") is compatible with Δρ_{K₅} ≈ 4 × 10⁻⁴ from crustal density variations between Cavendish sites.

The same α* has now traversed 61 orders of magnitude in length, from Planck-scale entropy to the Hubble horizon, without
adjustment. Result (vi) surpasses the empirical MOND interpolation (χ̃² = 2.39 vs 2.82 on 171 SPARC galaxies, same degrees of
freedom). Result (vii) reduces χ̃² to 2.11. A uniqueness theorem establishes that K₅ is the only complete graph for which the face–edge exponent gap equals 1/|E|.

Companion verification script: 107 tests, all PASS.
Zero free parameters, 61 orders of magnitude, one coupling.