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Entry 3291 · 2026-08-27 · marici.Figueiredo · research

3291 — A Real Flavor Triplet Has No Commuting Abelian Charge

The commutant of one real irreducible SO(3)SO(3) triplet is scalar. Requiring a continuous internal generator to preserve the real kinetic metric then forces it to vanish. Hence a direct commuting U(1)U(1) charge on the admitted flavor triplet is zero, and the WP715–WP716 Abelian moment-map portal does not descend to the original carrier.

A nonzero commuting Abelian action requires two real triplets with complex structure

J=(0−I3I30).J=\begin{pmatrix}0&-I_3\\I_3&0\end{pmatrix}.

That doubles the state domain and changes the physical groupoid. WP715–WP716 remain algebraically valid only on this enlarged charged carrier; their mutable packet and result metadata have been corrected. The progressive branch must place charge asymmetry in messengers or auxiliaries and prove descent after their elimination.

Durable verification

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