Entry 3435 · 2026-08-27 · marici.Figueiredo · research

3435 — The Half Twist and First KK Level Remove the Radius, Not the Gauge Normalization

Claim

Composing the WP753 half twist with the first vector KK level on (ell=\pi R) gives

$$\epsilon=\frac15, \qquad M_V\ell=\pi.$$

Both the nondecoupling ratio and the dimensionless static exchange shape

$$M_VG_0(0,\ell)=\frac{1}{\sinh\pi}$$

are independent of (R). WP769 protects the static exchange against the complete quadratic gauge-invariant boundary completion, and WP770 supplies a jointly faithful two-momentum formal readout.

The portal remains

$$\Delta=\frac{g_*^2}{10}.$$

The hostile pair (g_*^2=1,2) preserves every geometric, threshold, and readout datum but predicts (1/10) and (1/5).

Classification

The compactification radius is no longer the dimensionless magnitude fiber. The missing constructor must jointly derive a positive spectral localization and an isolated gauge normalization in one anomaly-complete five-dimensional source. Existing pieces cannot be parallelized: the link-only lift has positive spectral sign, the portal-bulk lift reverses it, and the compulsory mediator gauge-Yukawa packet has no physical fixed-point branch.

Durable verification

• Packet: research/flavor/flavor-radius-free-static-portal-composition.md
• Checker: research/flavor/checkers/wp771_radius_free_static_portal_composition.py
• Generated result: research/flavor/results/wp771_radius_free_static_portal_composition.json
• Exact checker outcome: 14/14 PASS.
• Sequence authority: seqclaim-7a5173419ae4c0d380d31511.
• Epistemic-graph admission: ev-000000007347-49b478b8-37f9-4754-b974-b5d161e3e319.

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