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

Protected boundary data of a codimension-three timelike Codazzi defect are used to reconstruct a finite internal carrier and to test whether it admits one constrained microscopic realization. Protected least-sufficient reconstruction fixes a primitive $3+2$ complex, the gauge form $S(U(3)\times U(2))$, a chiral $16$-dimensional packet with $k_Y=5/3$, and a norm-seven family structure before an action is chosen. A marked equianharmonic/Higgs family then supplies the global family packet. For the realization problem, the Codazzi equations are imposed as constraints, the scalar constitutive law is fixed by the affine-warp profile, and a single same-domain Alena-Codazzi completion is constructed. Its high-angular stability is controlled on the physical graph Hessian, while a Clifford-Green channel and a branch-invisible soft completion fix the low-angular boundary sector. The resulting rank-two selector has an analytic branch with a unique first invariant-sector fixed-charge fold. After spectral attachment, the frozen scale-free observables lie on a one-dimensional saturation manifold, so one chart coordinate fixes the longitudinal position and the remaining relations are transverse no-retune tests. The construction proves existence within the declared regularized-domain class; uniqueness, microscopic naturalness, absolute normalization, higher-cell dynamics, and continuum/outgoing completion remain open.

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Publication Details

Journal
Preprints.org
Published
2026-10-27
DOI
https://doi.org/10.20944/preprints202604.0927.v15
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

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

Piotr Ogonowski
3 links
Preprints.org
Relativity and Gravitational Theory
preprint

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

Piotr Ogonowski
preprint en

Abstract

Protected boundary data of a codimension-three timelike Codazzi defect are used to reconstruct a finite internal carrier and to test whether it admits one constrained microscopic realization. Protected least-sufficient reconstruction fixes a primitive $3+2$ complex, the gauge form $S(U(3)\times U(2))$, a chiral $16$-dimensional packet with $k_Y=5/3$, and a norm-seven family structure before an action is chosen. A marked equianharmonic/Higgs family then supplies the global family packet. For the realization problem, the Codazzi equations are imposed as constraints, the scalar constitutive law is fixed by the affine-warp profile, and a single same-domain Alena-Codazzi completion is constructed. Its high-angular stability is controlled on the physical graph Hessian, while a Clifford-Green channel and a branch-invisible soft completion fix the low-angular boundary sector. The resulting rank-two selector has an analytic branch with a unique first invariant-sector fixed-charge fold. After spectral attachment, the frozen scale-free observables lie on a one-dimensional saturation manifold, so one chart coordinate fixes the longitudinal position and the remaining relations are transverse no-retune tests. The construction proves existence within the declared regularized-domain class; uniqueness, microscopic naturalness, absolute normalization, higher-cell dynamics, and continuum/outgoing completion remain open.

Preprints.org
Relativity and Gravitational Theory
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