The Fermionic Matter Sub-Programme

The fermionic matter sub-programme asks where fermions, chirality, hypercharge and three generations could enter the Cosmochrony framework. Its answer is layered and each layer names its assumptions. A supplied dictionary $F_n\simeq\mathcal{H}_c$ concerns the Heisenberg carrier; the associated Weil block $V_c\simeq\mathbb{C}^q$ and supplied spinor doublet $V_\rho\simeq\mathbb{C}^2$ are distinct, with no selection map constructed. Given a real metaplectic model and the doublet, the algebra is proved without a metric: $\mathfrak{mp}(2,\mathbb{R})_\mathbb{C}\simeq\mathfrak{sl}_2(\mathbb{C})$, the symmetric square is the adjoint and the exterior square the determinant line. [H-Spin] identifies the doublet action with the spin group of a four-dimensional Lorentzian co-metric; [H-Weak] supplies a distinct rank-two weak factor with structure group $U(2)$. Neither identification is supplied by a source or excluded by a theorem. Connection-dependent admissible readings retain Q6a's two unproved continuum hypotheses: a smooth effective fibre bundle and a differentiable spatial continuum, the latter open in Q5a. Lorentz chirality and weak chiral selection are different statements. Left-admissibility is an input orientation branch given the Born–Infeld datum; weak $V{-}A$ is the representation content of [H-Weak], not derived from that branch. Hypercharge constraints need both spin and weak hypotheses; rigidity also uses a supplied colour module and matter decomposition, and the Standard Model pattern needs minimal determinant-line normalisation. A supplied rank-three rule gives a conditional gauge-singlet generation factor. Generation operators are models on a distinct doublet; their reading as restrictions of $E_\Pi^2$ requires [H-Res], the level-to-generation map is open, and the split value is matching data. The Schur remainder equals the projective endomorphism only under an unsupplied symbol identity; a non-zero split, its Schur transport and Born–Infeld genus remain hypotheses. O31 supplies no colour derivation. NSR excludes its two deposited candidates for an independent weak multiplicity by exact obstructions; this does not exclude every extension, and the weak factor remains an architectural input. Interpretive outlook (a reading, not a result). The programme locates the missing connection between internal algebra, Lorentz frames and weak multiplicity, rather than deriving the observed fermionic content.