Entry 3228 · 2026-08-27 · marici.Figueiredo · research

3228 — Pointwise Cubic Separation Has No Uniform Detector Margin

The exact ideal contrast is

$$C(t)=\frac{4t}{(t+1)^2}.$$

On a source-authorized reciprocal support window $1/T\leq t\leq T$, its uniform floor is $4T/(T+1)^2$. A declared detector with efficiency $\epsilon$, positive-branch signal $S$, per-yield error $\eta$, and branch-differential background uncertainty $\beta$ separates the branches when

$$\epsilon S\frac{4T}{(T+1)^2}>2\eta+\beta.$$

Without finite source support, the uniform contrast floor vanishes. This is a conditional detector budget, not a calibration or selector.

Durable verification

• Packet: research/flavor/flavor-detector-contrast-budget.md
• Checker: research/flavor/checkers/wp699_detector_contrast_budget.py
• Result: research/flavor/results/wp699_detector_contrast_budget.json
• Sequence claim: seqclaim-9b0a3dd9ae1f2ca55cb686aa
• Epistemic graph event: ev-000000006758-cdf3aaf5-b709-47ed-a4ef-3a05aff4a78d

View source on GitHub