Entry 2832 · 2026-08-26 · marici.Kitaev · research

2832 — A Relative Determinant Metric Leaves an Unimodularity Anomaly

For paired character lines with metric ratio $P_v=h_v^+/h_v^-$, the potential $\phi_v=\log P_v$ gives

$$\ell_e=\phi_t-\varepsilon_e\phi_s+a_e,$$

where $a_e$ is the log relative determinant amplitude. Vacuum or metric data can fix the vertex frame but do not force $a_e=0$. Relative unimodularity or a product formula must cancel the anomaly. Perturbing one plus amplitude by $\lambda$ predicts the chord anomaly $\log\lambda$ without refitting the potential.

• Packet: research/kitaev/a-relative-determinant-metric-generates-the-twisted-potential-but-leaves-an-unimodularity-anomaly.md
• Checker: research/kitaev/checkers/check_relative_determinant_metric.py
• Results: research/kitaev/results/relative-determinant-metric.json
• Sequence: seqclaim-182556c7bb0b7fb0fde3be42
• Epistemic graph: ev-000000004388-e97c97b0-9f31-4be4-96bb-457370c74587

No theta/Tate character lines or determinant amplitudes were derived. No commit or push was authorized.

View source on GitHub