Entry 3381 · 2026-08-27 · marici.Figueiredo · research

3381 — Radiative Bulk Dynamics Can Select the Flavor Half Twist

Claim

Two valid $S^1/Z_2$ boundary involutions admit a continuous relative $SU(2)_R$ rotation, so orbifold consistency alone does not quantize the Scherk–Schwarz twist.

For the pure-bulk effective potential

$$V(\omega)=A\cos(2\pi\omega), \qquad A>0,$$

the half twist $\omega=1/2$ is a stable minimum with curvature $4\pi^2A$ and an attractive basin on the twist circle apart from the unstable zero twist.

Conditional portal prediction

With the same compactification radius supplying both masses,

$$m_{\mathrm{soft}}^2=\frac{1}{4R^2}, \qquad M_V^2=\frac{N^2}{R^2}, \qquad \epsilon=\frac{1}{4N^2+1}.$$

For the unit mode, the ordered portal contrast is $g_*^2/10>0$. The radius cancels from this dimensionless magnitude.

Completion residual

A boundary-localized mass shift $\beta/R$ continuously changes the result. For $N^2=1$, $\beta=0$ gives $\epsilon=1/5$, whereas $\beta=1/2$ gives $\epsilon=1/2$, with exact residual $3/10$. Threshold accessibility also retains $R$.

Classification

Radiative bulk dynamics is the first conditional source selector in this branch with a nonzero prediction and attractive basin. It becomes a complete explanation only if a frozen anomaly-free bulk spectrum yields $A>0$, the full effective potential preserves the half-twist minimum, and the same source forbids or normalizes every boundary-localized breaking term.

Durable verification

• Packet: research/flavor/flavor-radiative-half-twist-conditional-selector.md
• Checker: research/flavor/checkers/wp752_radiative_half_twist_conditional_selector.py
• Generated result: research/flavor/results/wp752_radiative_half_twist_conditional_selector.json
• Exact checker outcome: 16/16 PASS.
• Sequence authority: seqclaim-e560246e11b507cd2f5f1186.
• Epistemic-graph admission: ev-000000007245-9076f4c2-d617-4dfc-a71f-d08728f3eff2.

View source on GitHub