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Entry 3182 · 2026-08-27 · marici.Figueiredo · research

3182 — The Native Cascade Has No CP-Odd Momentum Port

Result

For the admitted unpolarized two-step cascade, final-state momentum closure forces

pn⋅(pq×pX)=0.p_n\mathbin{\cdot}(p_q\mathbin{\times}p_X)=0.

The native record therefore remains invariant under ϕ↔−ϕ\phi\leftrightarrow-\phi. No momentum-only third port removes the WP677 phase kernel.

Relational repair

An oriented spin or beam reference permits a port proportional to

S=Duvsin⁡ϕS=D\sqrt{uv}\sin\phi

and generically restores rank three. This is a new polarized relational experiment over the reference stabilizer groupoid, not recovery of an absolute phase from the original cascade.

Durable verification

View source on GitHub