Skip to main content

Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

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