A Closure-Gate Formulation of One-Generation Standard-Model Anomaly Cancellation and Hypercharge
James D. Bourassa · Zenodo (CERN European Organization for Nuclear Research) · 2026
This preprint formulates the one-generation Standard Model anomaly-cancellation and hypercharge constraints as a finite closure-gate system in the structural-admissibility language of the Quantized Dimensional Ledger (QDL). Relative to a declared left-handed Weyl candidate domain, the anomaly-residue map A_Gamma collects the SU(3)_C^3, SU(3)_C^2 U(1)_Y, SU(2)_L^2 U(1)_Y, U(1)_Y^3, mixed gravitational-U(1)_Y, and global SU(2) Witten parity conditions. A Yukawa-neutrality map Gamma_Y collects the renormalizable hypercharge-neutrality conditions for Q H u^c, Q H^dagger d^c, and L H^dagger e^c. The main result is the kernel-intersection statement H_adm = ker A_Gamma cap ker Gamma_Y = span{(1, -4, 2, -3, 6, 3)}. With electric-charge normalization q = 1/6, this gives the usual one-generation Standard Model hypercharge assignment. The contribution is organizational and methodological: it recasts a standard anomaly/hypercharge consistency result as an explicit closure-gate architecture with declared domain assumptions, compensator-image tests, failure modes, and claim-status boundaries. This paper does not claim to derive the Standard Model gauge group, chirality, representation inventory, three generations, numerical couplings, Yukawa matrices, or a QDC substrate. QDL enters here as a structural-admissibility vocabulary; the anomaly and hypercharge calculation itself does not require accepting the QDC substrate.