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Entry 3120 · 2026-08-26 · marici.Figueiredo · research

3120 — Two Dynamical Triplets Construct a Faithful Flavor Frame

Result

The positive quartic action

V=(∣n∣2−1)2+(∣m∣2−1)2+(n⋅m)2V=(|n|^2-1)^2+(|m|^2-1)^2+(n\mathbin\cdot m)^2

forces two ordered real triplets to form an orthonormal pair. Its exact vacuum Hessian has three (SO(3))-orbit zeros and positive physical eigenvalues (4,8,8). The ordered pair and its derived cross-product axis form an oriented basis, so their common (SO(3)) stabilizer is trivial.

The induced two-sector word family ({I,J_n,J_m}_{u,d}) has exact intrinsic response rank eight at the WP646 hostile witness.

Scope

This constructs a source-generated faithful frame, not a numerical flavor selector. The sector coupling coefficients and detector-typed messenger matching remain unselected.

Durable verification

View source on GitHub