Geometric Origin of Fermion Generations in Lambda Convergence Universal Field Theory

We demonstrate that the three-generation structure of the Standard Model fermion spectrum follows from the dimensionality of a stable configurational submanifold within Lambda Convergence Universal Field Theory (LUFT). Working within the pre-metric configuration space $C = H^1(M)$, we show that stability conditions select a three-dimensional effective manifold $\Sigma \subset C$ on which topologically nontrivial field configurations reside. Shape tensors constructed from log-gradients of the LUFT fields $\Phi$ (informational density) and $\Xi$ (coherence functional) are symmetric traceless $3 \times 3$ matrices with exactly three eigenvalues. These eigenvalues correspond to variational excitation energies within topologically classified sectors, yielding a structural explanation for three fermion generations per sector without numerical mass fitting. The mass operator construction is explicitly dimensional-analytic, mixing arises from eigenbasis misalignment, and CP violation requires nontrivial $\nu$-field holonomy. We identify falsifiable predictions distinguishing LUFT from other flavor models and provide the first bridge between LUFT's timeless geometry and the Standard Model's representation structure. Version note (v3.5.0, June 2026): sync with the Light v3.0.0 rebuild and spine v3.0.0. All c2 = A/B statements are replaced — A/B is a quadrature ratio with no kinematic content; the cone slope is carried by the spine dispersion route (c2 = alpha*kappa at tree level, conditional on OS reconstruction), and the nu-sector constitutive ratio alpha_chi/beta_chi remains an open gap. Terminology: LUFT = Lambda Convergence Universal Field Theory.