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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

Finite search closed, actual winding and parity equivalence

In the question: Constructive seam search: operators, state and source compatibility

Global crossed operators; no local field equivalence or physical selection.

Read the exact result, assumptions and evidence

Result

262144 candidates on two H200: four universally Lean-checked presentations. X_plus=Pi X_minus preserves source,Q,K,quarter marker and canonical state; two marked P classes remain. Full T1 and Ward are checked. Graded C lifts realize both P signs; scalar X covariance does not follow from the integer endpoint.

Required assumptions

  • Fixed CAR source and adjoined half sector

    Ordered eight-channel cocycle, s=(1/2)^8, Q, quarter phase and K_alpha=N+|p|²/2+delta_alpha.p are supplied; alpha=1/4,3/4. Parity equivalence is in the global operator envelope without a separately marked physical X. Neither source nor extension is derived from P1/P2.

Original evidence

  • SYNTHESIS.md lines 8–37

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-constructive-search-20261015/SYNTHESIS.md

    d112d0054cd1558c0a64f8aebfaa98c942beab9e5688cc9704d31b15cdacb252

finding:constructive-phase-class-and-full-winding