Entry 3204 · 2026-08-27 · marici.Figueiredo · research

3204 — One Boundary Counterterm Cannot Hide Two RG Contexts

Result

For leading-log transport (lambda_p(L)=a+bL) with source-generated (b>0), two distinct scale contexts have response determinant (L_2-L_1). Optimizing over every boundary value gives the exact residual floor

$$\min_a\max \left(|\lambda_p(L_1)|,|\lambda_p(L_2)|\right) =\frac{b|L_2-L_1|}{2}.$$

A boundary counterterm can hide the portal at one scale, not two.

Limit

The contexts are source-generated by RG transport, but no two calibrated same-operator interference measurements at distinct physical scales are currently admitted. Complete running beyond leading log remains open.

Durable verification

• Packet: research/flavor/flavor-two-scale-portal-cancellation-no-go.md
• Checker: research/flavor/checkers/wp689_two_scale_portal_cancellation_no_go.py
• Result: research/flavor/results/wp689_two_scale_portal_cancellation_no_go.json
• Epistemic graph event: ev-000000006679-f877a1ee-3907-4bac-a135-283a395f2275

View source on GitHub