Established in scope
An entire exact process segment retains2245 responses and a free composite response
In the question: Automatic response search with original-source decision
Entire constructed finite family, not all processes or full P1 sources. Floor/gap1/4 are search assumptions. Interval contains attained values, not global extrema. Ten responses are correlated, not independent selectors. Real s analytically covered;rational s additionally serializable. Genuine original q would select only this segment; source map and other freedom remain separate.
Read the exact result, assumptions and evidence
Result
Stored full32D source-clustering endpoints share Omega,all ten Majoranas and quarter. T(s)=(1-s)Tmin+sTmax,0<=s<=1,keeps all2245 supplied moment polynomials constant. The difference annihilates Omega and all ten single-field vectors. The shared positive lower bound and clustering cone persist by convexity. All ten existing separating two-field responses are q(s)=1/4+s/2; this family attains the entire interval[1/4,3/4].
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
- RESPONSE-SEARCH-20261102.txt lines 1–104
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-positive-kernel-search-20261015/RESPONSE-SEARCH-20261102.txt
0c00ffee481cfab9cf299a116a6c9c7ab91ab9bffaf7c2f1a7db6b2118f7affd
- certify_response_segment.py lines 1–115
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-positive-kernel-search-20261015/certify_response_segment.py
914b2b4f377a316a34643c1c51b24d61622c95279e9668a764a2e7166f1ec4dd
finding:r098-whole-finite-process-segment-preserves-2245-moments