Entry 3393 · 2026-08-27 · marici.Figueiredo · research

3393 — The Domain Wall Selects Localization but Leaves the Portal Magnitude Continuous

Claim

For opposite kink-mass signs on an interval, the normalized zero-mode boundary densities satisfy

$$\frac{D_+(x)}{D_-(x)}=e^{2x}, \qquad D_+(x)-D_-(x)=2x, \qquad x=ML>0.$$

The domain-wall Dirac operator therefore detects anomaly-neutral matter placement and conditionally selects a localization side. Its topological index is nevertheless constant throughout $x>0$. The hostile pair $x=1/2$ and $x=3/2$ has the same chirality but contrasts $1$ and $3$.

Classification

The kink is a conditional localization selector and a boundary-presentation rigidifier, but not a numerical portal selector. Wall orientation and labelled kink-charge assignments control the sign; the Yukawa coupling, wall scale, and interval length leave a continuous magnitude fiber. RG transport, finite-width and Kaluza–Klein thresholds, physical16 descent, and a calibrated instrument remain open.

Durable verification

• Packet: research/flavor/flavor-domain-wall-localization-magnitude-fiber.md
• Checker: research/flavor/checkers/wp757_domain_wall_localization_magnitude_fiber.py
• Generated result: research/flavor/results/wp757_domain_wall_localization_magnitude_fiber.json
• Exact checker outcome: 8/8 PASS.
• Sequence authority: seqclaim-f62f742923956b7d5b14ef60.
• Epistemic-graph admission: ev-000000007275-26cad0e6-947b-4031-a979-89d3ccac7e74.

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