Entry 3400 · 2026-08-27 · marici.Figueiredo · research

3400 — Bulk-Scalar Stabilization Transfers the Portal Fiber to Boundary Data

Claim

The stiff-boundary bulk-scalar potential

$$V(s)=C\left(v_\pi-v_0e^{-\epsilon s}\right)^2$$

has a stable minimum

$$s_*=\frac{1}{\epsilon}\log\frac{v_0}{v_\pi}, \qquad V''(s_*)=2C\epsilon^2v_\pi^2>0.$$

Under the favorable common-scale identification, composition with the WP758 wall overlap gives

$$\Delta(r)=\frac{(r^2-1)^2}{2(r^2+1)^2}, \qquad r=\frac{v_0}{v_\pi}.$$

The same stabilization law with $r=2$ and $r=3$ predicts $9/50$ and $8/25$.

Classification

The bulk scalar is a conditional separation selector and local stabilizer. It does not select its boundary-value ratio and therefore does not select the portal magnitude. A successor must derive the boundary packet and labelled orientation from quantized source data or a unique vacuum before RG, threshold, physical16, and detector gates can be tested.

Durable verification

• Packet: research/flavor/flavor-bulk-scalar-stabilization-boundary-ratio-fiber.md
• Checker: research/flavor/checkers/wp759_bulk_scalar_stabilization_boundary_ratio_fiber.py
• Generated result: research/flavor/results/wp759_bulk_scalar_stabilization_boundary_ratio_fiber.json
• Exact checker outcome: 8/8 PASS.
• Sequence authority: seqclaim-30305c2cae3e95ee4622e120.
• Epistemic-graph admission: ev-000000007286-43a8c0ab-d46d-4af3-8100-a90b47716f31.

View source on GitHub