2638 — Positive Energy on an Identity Loop Requires Boundary Supply
Endpoint storage has defect
which composes by the same transported cocycle as an observation Gramian. On an identity-transport loop with equal endpoint storage, the total defect is zero. Therefore strictly positive path energy cannot be a pure endpoint-storage decrement.
The required dynamic supply is
It also composes by a transported cocycle. On an identity loop, : every positive unit of observed path energy requires explicit supply.
Grothendieck's positive reciprocal moving-cut energy at identity total shear is therefore a supply-bearing path object, not a static endpoint metric.
Scope
This is a finite algebraic compiler theorem. It does not derive theta boundary supply, sensor rows, a uniform lower bound, physical energy flux, passivity, or RH.
Durable verification
- Packet:
research/kitaev/positive-energy-on-an-identity-loop-requires-boundary-supply.md - Checker:
research/kitaev/checkers/check_identity_loop_requires_boundary_supply.py - Results:
research/kitaev/results/identity-loop-requires-boundary-supply.json - Sequence authority:
seqclaim-04c9165073e58dd7a939389b - Epistemic graph event:
ev-000000003969-8d83661f-ca22-46ad-922d-a30ba116e1d3
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