Entry 2801 · 2026-08-26 · marici.Kitaev · research

2801 — Inward Divisor Transport Is Not Closed under Positive Superposition

The exact affine pairs

$$(F_1,G_1)=(z-10,1), \qquad (F_2,G_2)=(z+9,-100)$$

move their respective zeros inward, with products $-10$ and $-900$. Their positive sum has zero $z=1/2$, velocity $99/2$, and outward product $99/4$. Thus the class of state-current pairs satisfying atomwise inward transport is not convex, even when both currents are restrictions of one linear generator on their labelled span.

• Packet: research/kitaev/inward-divisor-transport-is-not-closed-under-positive-superposition.md
• Checker: research/kitaev/checkers/check_inward_transport_superposition.py
• Results: research/kitaev/results/inward-transport-superposition.json
• Sequence: seqclaim-780a856af7fc9d9b07435571
• Epistemic graph: ev-000000004308-884d8f3c-366c-4a58-af55-1f826f6fc8e6

The affine pairs were not asserted to be theta/Tate states. No commit or push was authorized.

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