Entry 3403 · 2026-08-27 · marici.Figueiredo · research

3403 — An Oriented Minimal Tadpole Can Select the Boundary Ratio

Claim

For positive integer boundary charges with source-fixed total

$$n_0+n_\pi=T$$

and labelled orientation $n_0>n_\pi$, the number of asymmetric ordered partitions is

$$N(T)=\left\lfloor\frac{T-1}{2}\right\rfloor.$$

The fiber is a singleton exactly for $T=3$ or $T=4$. These sectors select ratios $2$ and $3$, predicting portal contrasts $9/50$ and $8/25$. At $T=5$, the pairs $(3,2)$ and $(4,1)$ predict distinct contrasts $25/338$ and $225/578$.

Classification

Quantized boundary charge plus an independently fixed minimal total and orientation is the first wall-branch candidate capable of genuine ratio selection. Quantization alone generally produces only a finite fiber. No admitted flavor compactification yet derives $T=3$ or $T=4$, and matching, physical16, and detector survival remain open.

Durable verification

• Packet: research/flavor/flavor-oriented-quantized-tadpole-singleton-gate.md
• Checker: research/flavor/checkers/wp760_oriented_quantized_tadpole_singleton_gate.py
• Generated result: research/flavor/results/wp760_oriented_quantized_tadpole_singleton_gate.json
• Exact checker outcome: 10/10 PASS.
• Sequence authority: seqclaim-53cb51420e1cce0677d08eea.
• Epistemic-graph admission: ev-000000007295-5f58ca1c-d576-413b-9e97-c338867f3096.

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