Entry 3396 · 2026-08-27 · marici.Figueiredo · research

3396 — BPS Normalization Leaves a Wall–Boundary Separation Fiber

Claim

Even granting a BPS source that fixes the relevant zero-mode profile exponent to one, the normalized center-to-boundary density contrast is

$$\Delta(a)=\frac12\tanh^2 a, \qquad a=kd>0.$$

The same BPS charge and local profile at

$$a_1=\operatorname{arctanh}\frac12, \qquad a_2=\operatorname{arctanh}\frac34$$

give contrasts $1/8$ and $9/32$. Thus BPS saturation can normalize the local wall shape without selecting its separation from the physical readout boundary.

Classification

BPS structure is a local profile normalizer and conditional localization rigidifier, not a global portal-magnitude selector. A source-derived stabilization equation must fix one labelled dimensionless separation $kd$ before RG, threshold, physical16, and detector gates can be tested.

Durable verification

• Packet: research/flavor/flavor-bps-wall-separation-modulus-fiber.md
• Checker: research/flavor/checkers/wp758_bps_wall_separation_modulus_fiber.py
• Generated result: research/flavor/results/wp758_bps_wall_separation_modulus_fiber.json
• Exact checker outcome: 8/8 PASS.
• Sequence authority: seqclaim-231a09428e794d633aa67cee.
• Epistemic-graph admission: ev-000000007280-59374750-5a8e-4ec0-99e4-8886e2482d61.

View source on GitHub