Protected Reconstruction from Codazzi Defects: Equianharmonic Quantization and a Minimal Standard-Model Carrier

Abstract

Protected reconstruction is formulated for a codimension-three timelike Codazzi defect in a four-dimensional Lorentzian branch. The oriented rank-three normal geometry yields a primitive projective link and, after scalar traces are removed, a graded source $V_1[1]\oplus V_2[2]$. Its principal $SU(2)$ content identifies compact $A_2$, while Borel-Weil visibility and faithful central marking reconstruct the minimal $3+2$ carrier. Determinant and Clifford closure give $S(U(3)\times U(2))$, its global ${\mathbb{Z}}_6$ form, and $k_Y=5/3$. The equianharmonic Coxeter lattice supplies the three-point family torsor and the first primitive norm-seven commensurate class. In an Alena-Codazzi collar, structural reconstruction is separated from realization by projector, Riesz-response, Rees-Picard, Hodge, and neutral-relay residuals. The selected projector has an intrinsic polynomial certificate and reconstructs the packet $(1,4,5;7)$; the finite first two responses determine the primitive Rees geometry, while a global $2:3:5$ principal lift links family determinant holonomy with the projected weak-leg rate. After the marked operator gates are passed, one universal dimensionless scalar $u$ is fixed once and the remaining CKM, neutral, and PMNS quantities are evaluated without retuning. On the frozen reference branch, the downstream readings include ${\delta }_{\mathrm{CKM}}=65.36^{\circ }$ and $\Delta m_{21}^2/\Delta m_{31}^2=0.029655$. These values are retained as falsifiers of the completed branch rather than structural inputs. Absolute normalization and the global Riesz-Callias attachment remain separate.