A local reconstruction scheme for Codazzi defects in 4D Lorentzian branches uses a lexicographic residual and CP1 Toeplitz visibility to select the S(U(3)×U(2))/Z6 form and standard one-generation SM exterior package.
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For the families L(ℓ²,ℓ-1) and L(ℓ²,2ℓ-1) with ℓ odd ≥5, the residual-circle equivariant η germ has vanishing first derivative but nonzero second derivative; the normalized value is -6080 for L(25,4) versus L(25,9).
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Self-Reconstructing Codazzi Defects, $\mathbb{CP}^1$ Quantization, and the Minimal Standard-Model Carrier
A local reconstruction scheme for Codazzi defects in 4D Lorentzian branches uses a lexicographic residual and CP1 Toeplitz visibility to select the S(U(3)×U(2))/Z6 form and standard one-generation SM exterior package.
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Second-Jet Equivariant $\eta$ Separations on Lens Spaces
For the families L(ℓ²,ℓ-1) and L(ℓ²,2ℓ-1) with ℓ odd ≥5, the residual-circle equivariant η germ has vanishing first derivative but nonzero second derivative; the normalized value is -6080 for L(25,4) versus L(25,9).