From the closed baryon fraction Ω_b = (4π − 1)β_rad, the asymmetry follows as a cosmological readout. Leptogenesis is operationalised as a falsifiable interface (v169): fed by TFPT's normal-ordered neutrino spectrum and δ_CP = 240°, the thermal estimate η_B ~ 0.96×10⁻²·ε₁·κ_f brackets the observed 6.1×10⁻¹⁰ over M₁ ∈ [3×10⁹, 3×10¹⁰] GeV (a canonical M₁ = 10¹⁰ GeV gives 6.0×10⁻¹⁰, untuned). But M₁ and the washout are scenario inputs, so η_B stays [C]: if a precise Boltzmann solve excluded the window the route falls, not the theory. The cleanest scenario (v212) shares the decuple A_Λ = 10 = |E(K₅)| across both Boltzmann inputs (M₁ ≈ 8.65×10⁹ GeV, m̃₁ = m₃/A_Λ ≈ 5 meV) with no hidden seesaw scale — a sharper [C] route that cuts the free inputs from two to one, not to zero. The full BDP Boltzmann ODE solve confirms the route at the frozen M₁ (integrated κ_f = 0.092 ⇒ η_B = 6.5×10⁻¹⁰ = 1.07× observed, no free M_R dial), so η_B is a consistent [C] downstream readout, not a derivation (the flavored density-matrix solve is the next refinement).

The seam UV is the free chiral c=8 fixed point, so the one marginal SM scalar coupling vanishes there: λ(M_seam) = 0 and β_λ(M_seam) = 0 — the Shaposhnikov–Wetterich double criticality, here derived from the free seam, not assumed. Running the PyR@TE-confirmed two-loop SM RGEs from M_Z up with the measured (m_H, m_t) gives λ(M̄_Pl) ≈ 0.002 with β_λ ≈ 0 — the celebrated Standard-Model near-criticality, now explained as a consequence of the free seam. The double condition predicts m_H ≈ 129–134 GeV (measured 125.25 sits a few GeV below, the known slight metastability); the same condition at the scalaron scale gives ≈107 GeV (too low), so the boundary condition lives at the Planck scale — consistent with seam = horizon = Planck (v166).

The source-level Koide quotient from the lepton φ₀-ladder is 0.664, 0.33% below the democratic compiler target 2/3 = |ℤ₂|/N_fam. A source→pole transfer conjecture brings it onto 2/3, but is not a derivation. The relaxation now has a canonical generator — dq/dt = (Δ/N_fam)·det B(q), the gap times the anchor-block quadric, whose time-1 map is the forced Möbius attractor — and the discrete-vs-continuous question is experimental: n = 3 = N_fam transfer steps corresponds to m_τ = 1776.9427 MeV (+0.14σ; n = 2 excluded at −2.9σ), decidable at σ(m_τ) ~ 0.01 MeV.

The candidate is the determinant-line axion of the strong-CP sector; WIMPs are ruled out (no spare E₈ singlet). The misalignment angle is closed; the decay constant is a conjecture. A misalignment estimate (v185) and a converged FULL finite-T solve (experiments/ftransfer/axion_relic/full_finiteT_solve.py: exact nonlinear misalignment, lattice χ(T)∝T⁻⁸·¹⁶, realistic g_*(T), normalised so θ_i=1 gives the standard Ω_a h² ≈ 0.03) now decide the abundance: at the predicted θ_i ≈ 170° hilltop the relic is Ω_a h² ≈ 0.66 — ~5.5× above Ω_DM h² = 0.12 (the observed value is reached only at θ_i ≈ 106°). So as the dominant dark matter the determinant-line axion at (f_a = M_scal/128 ≈ 2.39×10¹¹ GeV, θ_i ≈ 170°) OVER-closes the universe unless there is extra dilution or a lower f_a — a confirmed tension, not the optimistic all-DM. A more robust angle is the spine branch θ_i = π·N_fam/g_car = 3π/5 = 108° (v211): the same solver reaches Ω_DM at θ ≈ 106°, and 108° (the central spine quotient 3/5, no fit) sits there in the MILD-anharmonic regime — 62° below the hilltop, so NOT exponentially sensitive. It is an alternative ansatz to θ_i = π(1−φ_seam) ≈ 170° (mutually exclusive, the full solver decides, DM.AXION.SPINE.01) — a sharper [C] scenario, not a derivation; a converged Ω_a h² outside ~[0.08, 0.16] demotes the branch. That spine angle is exactly the regular pentagon interior angle: since N_fam = g_car − 2, θ_i = (g_car−2)π/g_car, so cos θ_i = (1−√5)/4 = −1/(2φ), and the golden character is unique to g_car = 5 (v429) — the otherwise-unmapped golden/icosahedral E₈ signature (v354/v313) is the geometry of this one external input, a [C] bridge that does not upgrade DM.AXION.SPINE.01. The haloscope coupling is tied to c₃: in the determinant-line normalization the axion–photon anomaly coefficient is g_aγγ = −4c₃ = −1/(2π), y² = 16c₃² = 1/(4π²) ≈ 0.0253 — the same c₃ that fixes α and the birefringence, with no flow freedom (v207); a [C] structural relation (the coefficient, not a parameter-free g_aγγ in GeV⁻¹, which still carries f_a).

A [C] downstream readout (archive integration), not a compiler power. The carrier carries a second-order topological defect beyond the one that fixes α: δ₂ = Bγ·δ_top² = (5/4)δ_top² (δ_top = Ω_adm c₃⁴ = 48c₃⁴ = 3/(256π⁴); Bγ = (3/2)(5/6) = 5/4 the carrier compression quotient). Projected through the seam-loop phase 2π (the same 1/(2π) = 4c₃ unit that normalises c₃ itself), it reads as a magnetic vertex correction a_μ^seam = δ₂/(2π) = 45/(524288 π⁹) ≈ 2.879×10⁻⁹. The value is an exact compiler number (trace reading δ₂ = 4!·Tr_{S⁺}(X²)·c₃⁸, Tr = 120 = 5!) — but the identification of δ₂/(2π) as the anomalous moment is a physical bridge, so the prediction is [C]. Data, honestly: 0.81σ vs the dispersive Δa_μ = (2.49±0.48)×10⁻⁹; lattice/CMD-3 HVP shrinks the discrepancy (~1.5×10⁻⁹), where the fixed value then sits ~1.5σ high. A converged Δa_μ outside 2.879×10⁻⁹±0.5×10⁻⁹ excludes the seam-vertex mechanism (compiler core untouched).

c₃ = 1/(8π) is the gravitational seam constant; the spectral action gives R + R² structurally (G2), and the closed admissible sector is gap-decoupled from the un-built ambient (G5, Decoupling Theorem). Beyond the action, the field equation is now supplied directly by the entanglement first law δS = δ⟨K⟩ (Jacobson; Faulkner et al.), run with TFPT's atoms: v358 gives the linearised G_ab = c₃⁻¹ T_ab with c₃⁻¹ = 8π fixed, and v359 upgrades it to the FULL covariant G_ab + Λ g_ab = c₃⁻¹ T_ab by demanding stationarity at fixed volume (Lovelock's unique divergence-free tensor), so matter conservation ∇ᵃT_ab = 0 is an output. Both coefficients are TFPT-fixed: 8π = 1/c₃ (no free Newton dial; c₃ is triply over-determined — anchor v23, geometry v58, thermodynamics v358) and Λ from α (ρ_Λ = (3/4π²)e^{−2α⁻¹}, v60). So the full covariant field equation is parameter-free at the local level; what remains is the equation-of-state status and the absolute scale v_geo. An external candidate for that missing action level is now quantified (v473–v478): Bianconi's entropic action S_B = −Tr ln(G̃g̃⁻¹) (PRD 111, 066001 (2025)) matches the TFPT Einstein normalisation only at β′_B = c₃/6 = 1/(48π) (pinned exactly), her emergent Λ_G is quadratic-nonnegative and reproduces the v60 branch with the exact target Tr Q² = 32c₃⁴. The R² kill test was then EXECUTED (v475): the raw entropic scalaron is trans-Planckian (m² = 4608π²/17 M̄²), so the light-trace-mode shortcut is dead — and v477 resolved the 13-order gap as a scale-measure datum (one moment condition, satisfied by TFPT's own KMS moment, zero new dials). The compression conjecture is well-posed (v476) with continuum evidence that the state-side modular data flows to the CHM/BW form (v478); it stays [C]/[O] and the equation-of-state typing stays [O]. The global ambient measure (QG.AMB.01) is discharged as a [C] redundancy (v369/v379) — a certification object, not missing dynamics — and the R²/Weyl² Stelle ghost is a Seeley–DeWitt truncation artefact, so perturbative spin-2 graviton unitarity is established [C] (v304/v370/v380). Archive readouts: an independent gravitational ξ = c₃/φ_tree = 3/4 (v152), a Hubble value H₀ = 66.5–67.1 km/s/Mpc from the Λ branch (the tension is NOT relieved, [C]), and a [P] FRG cross-check.