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Entry 3157 · 2026-08-26 · marici.Figueiredo · research

3157 — Exact Flip Protection Doubles Every Odd Messenger Channel

Result

For one vectorlike pair, a bare mass requires qL+qR=0q_L+q_R=0 modulo two, while a Yukawa linear in an odd triplet requires qL+qR+1=0q_L+q_R+1=0. The two conditions are inconsistent.

The minimal repair uses two massive pairs of opposite parity and off-diagonal triplet Yukawas. The charge equations then have exactly two complementary solutions.

Consequence

WP651's two identity chains remain single-pair, while its four frame-word chains must each be doubled. The minimal protected pair census is ten, not six. Tree matching, loop support, thresholds, and anomalies must be recomputed for this changed grammar. No selector is produced.

Durable verification

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