Chronokinetic Unification of Flavor Mixing: Geometric Synthesis of the CKM and PMNS Matrices via Non-Abelian Gauge Damping

The Standard Model of particle physics parameterizes flavor mixing through two seemingly unrelated unitary matrices: the Cabibbo–Kobayashi–Maskawa (CKM) matrix for quarks, characterized by small, hierarchical mixing angles (θ₁₂ ≈ 13°, θ₂₃ ≈ 2.4°, θ₁₃ ≈ 0.2°), and the Pontecorvo–Maki–Nakagawa–Sakata (PMNS) matrix for leptons, characterized by large, near-maximal mixing (θ₁₂ ≈ 33°, θ₂₃ ≈ 45°, θ₁₃ ≈ 8.5°). In this paper, we demonstrate that both mixing structures emerge from a single, universal geometric stator defined on the invariant chronokinetic velocity ledger, v² + 𝕋² = c². In the color-singlet lepton sector, internal proper-time circulation is unconstrained by strong interactions; the unperturbed ℤ₃ harmonic trilateral partition naturally projects large, geometric angles onto the weak eigenstates (sin θ₁₃ = sin δ / √2 ≈ 9.0°). In the quark sector, immersion in the non-Abelian SU(3)c gluon field induces 1-loop vertex dressing with quadratic Casimir weight CF = 4/3. We analytically derive the Cabibbo parameter as the 1-loop QCD-dressed chiral shear phase (λ ≡ sin θC = sin δ [1 + αs(MW) / (2π)] ≈ 0.225), mapping the Wolfenstein hierarchy directly to the harmonic mode coupling of the stator. Furthermore, the Jarlskog invariant J ≈ 3.06 × 10⁻⁵ is shown to emerge from the relative phase shear between up-type and down-type mass bases. This resolves the flavor puzzle by unifying quark and lepton mixing under a single geometric conservation principle.