Entry 2825 · 2026-08-26 · marici.Kitaev · research

2825 — A Single Twisted Potential Exists iff Chord Residuals Vanish

Affine edge transport is generated by one vertex potential exactly when

$$\ell_e=\phi_{t(e)}-\varepsilon_e\phi_{s(e)}.$$

A spanning tree determines $\phi$; one residual per non-tree edge decides global extension. This is equivalent to zero translation on every even loop and a common center on every odd loop. Perturbing a chord gain by $\delta$ creates exactly the loop anomaly $\delta$.

• Packet: research/kitaev/a-single-twisted-normalization-potential-exists-exactly-when-all-chord-residuals-vanish.md
• Checker: research/kitaev/checkers/check_twisted_normalization_potential.py
• Results: research/kitaev/results/twisted-normalization-potential.json
• Sequence: seqclaim-25fa14cfeb79651386d9b9b3
• Epistemic graph: ev-000000004375-90b990e0-8b0b-4873-b838-2411bfd28185

No theta/Tate source potential was derived. No commit or push was authorized.

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