Finite Standard-Model Carrier from Timelike Codazzi Defects
Abstract
The inverse problem of whether protected data carried by a local Lorentzian defect can determine a finite internal gauge-and-matter carrier before microscopic dynamics are chosen is considered. For a codimension-three timelike Codazzi defect, a marking-preserving reconstruction fixes a five-dimensional complex carrier V=C⊕ W with dimℂ(C,W)=(3,2), the global gauge form S(U(3)× U(2)), a chiral $16$-dimensional exterior packet with kY=5/3, and a norm-seven family structure. The chiral packet has the standard algebraic SU(5)-Spin(10) envelope without assuming grand unification. Within a declared regularized-domain class, one constrained microscopic realization is constructed. Its distinguished branch ends at a single intrinsic terminal where the strict charge minimum and the first simple invariant-sector fixed-charge degeneracy coincide; soft-coupled readouts acquire a rank-one critical-response pole. On the rank-two exact-five moment stratum, four native matrix moments reconstruct a five-dimensional cyclic operator up to hidden unitary. The resulting scale-free observables lie on a one-dimensional solution manifold with a discrete conjugate orientation. With W/Z used to set its longitudinal coordinate, direct CKM and reactor/solar data are consistent with the same manifold, while first-row CKM normalization remains a separate transverse structural test. Existence within the stated class is established, not uniqueness. A blind determination of the longitudinal coordinate still requires the unresolved centered-response incidence; physical transport remains an independent microscopic gate.
Related
- Boundaries and defects in conformal field theories at finite temperature
- Conformal defects of general dimensions at finite temperature
- Variational Closure of Finite Einstein-Standard-Model Actions
- The Standard Model on a finite bosonic lattice with continuum Weyl fermions
- Thermodynamic formulation of Cotton gravity in the Codazzi parametrization
BibTeX
@misc{ogonowski2026finite,
title = {{Finite Standard-Model Carrier from Timelike Codazzi Defects}},
author = {Piotr Ogonowski},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2606.12693},
eprint = {2606.12693},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.12693},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Finite Standard-Model Carrier from Timelike Codazzi Defects
AU - Piotr Ogonowski
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2606.12693
UR - https://arxiv.org/abs/2606.12693
AB - The inverse problem of whether protected data carried by a local Lorentzian defect can determine a finite internal gauge-and-matter carrier before microscopic dynamics are chosen is considered. For a codimension-three timelike Codazzi defect, a marking-preserving reconstruction fixes a five-dimensional complex carrier V=C⊕ W with dim_ℂ(C,W)=(3,2), the global gauge form S(U(3)× U(2)), a chiral $16$-dimensional exterior packet with k_Y=5/3, and a norm-seven family structure. The chiral packet has the standard algebraic SU(5)-Spin(10) envelope without assuming grand unification. Within a declared regularized-domain class, one constrained microscopic realization is constructed. Its distinguished branch ends at a single intrinsic terminal where the strict charge minimum and the first simple invariant-sector fixed-charge degeneracy coincide; soft-coupled readouts acquire a rank-one critical-response pole. On the rank-two exact-five moment stratum, four native matrix moments reconstruct a five-dimensional cyclic operator up to hidden unitary. The resulting scale-free observables lie on a one-dimensional solution manifold with a discrete conjugate orientation. With W/Z used to set its longitudinal coordinate, direct CKM and reactor/solar data are consistent with the same manifold, while first-row CKM normalization remains a separate transverse structural test. Existence within the stated class is established, not uniqueness. A blind determination of the longitudinal coordinate still requires the unresolved centered-response incidence; physical transport remains an independent microscopic gate.
ER -