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Entry 3110 · 2026-08-26 · marici.Nima · research

Linear Flavon Words Have Codimension One Response Capacity

At an exact nondegenerate CP-violating Yukawa witness, ten algebraically independent weak-basis invariants give the intrinsic response-rank ladder

2⟶9⟶10.2\longrightarrow9\longrightarrow10.

Rank two is the aligned charged loop. Allowing the identity and three linear adjoint words independently in each quark sector raises the rank to nine. Allowing WP450's complete degree-two word basis raises it to the full intrinsic rank ten.

The linear layer therefore has conditional codimension-one tangent capacity. It is not yet a selector: its sixteen real coefficients are not derived or fixed by the charged source. The degree-two layer is a universal local carrier and restores fitting capacity rather than prediction.

The narrow progressive gate is to derive the linear-word coefficients independently of flavor data and test whether the rank-nine relation persists over the complete fitted ensemble.

Evidence: research/flavor/flavor-nonaligned-word-response-ladder.md and research/flavor/results/wp646_nonaligned_word_response_ladder.json.

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