Established in scope
Unknown kernels constructed, exactly completed and discriminated
In the question: Automated construction of operator maps and sources
Declared finite CAR/transfer class. Five-mode completion additionally assumes a minimal irreducible realization with inferred pure occupation state; no uniqueness inferred from truncated ranks. Floor and cluster gap 1/4 are search bounds, not quarter holonomy or physical scale. Finite clustering is not a local OS net. No original selection of marking, statistics or events. Historical extremal calibration; since2026-10-16 implementation defaults to feasibility with explicit transfer classes.
Read the exact result, assumptions and evidence
Result
The new moment search takes no supplied H, rho or target K. A one-mode result has an exact flat GNS certificate. Two additional minimal five-mode completions replay all 2245 moments through degree4. Checking the original source requirements adds finite clustering: a previous result with 27 stationary directions fails; two replacements each have exactly one stationary direction. Both yield finite unitary field time from the same T and first differ at degree5 by 1/4 versus 3/4. An independent offline verifier confirms full kernels and separation.
Required assumptions
- Declared finite positive kernel search class
Given up to five CAR modes, an extra selfadjoint transfer operation, 0<=T<=I, T Omega=Omega and internal CAR quarter invariance. Five-mode completions additionally use a minimal irreducible Fock representation with pure occupations inferred from searched moments. Objectives, positive floor and cluster gap are declared search choices; neither these nor the representation are presumed consequences of P1/P2.
Original evidence
- README.md lines 1–200
Historical source state: source-stale
Original location and fingerprint
experiments/theory-contracts/seam-positive-kernel-search-20261015/README.md
cc1f61f292f825620ae35c67625fa254c27b8bf52d067a69d29099eb5a8c77fc
- README.md lines 201–210
Historical source state: source-stale
Original location and fingerprint
experiments/theory-contracts/seam-positive-kernel-search-20261015/README.md
cc1f61f292f825620ae35c67625fa254c27b8bf52d067a69d29099eb5a8c77fc
finding:positive-kernel-construction-with-exact-discriminator