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

Scoped exclusion

Scalar-square theta lift differs from symplectic F20 lift

In the question: Common clock sectors, quartic geometry and operational reconstruction

Smallest actual operatorcountertest prevents equating differentclocktypes. No contradiction of separateclock constructions or metricF20 carrier bridge;no universalfield orTFPT no-go.

Read the exact result, assumptions and evidence

Result

Existing markedtheta four hasalpha²=iI4. New symplecticF20 liftGhat=zeta8^-1G hasGhat²=−iG²,nonscalar withtrace0;G² is nonscalar. Thusalpha andGhat are not conjugate evenup tocentralphase:projective orders2 and4. Sharedorder8 andfourthpower−I do not identify operations. SharedMu8 scalar resource remains correct.

Required assumptions

  • Do not identify source types

    Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.

  • Original Pauli and v419 F20 source words

    Use frozen v783 two-qubit Clifford generators, existing Pauli16 and central mu8, and actual cyclotomic v419 C5,G matrices. A constructed source-word F20 subgroup is available; its physical seam selection is not assumed.

Original evidence

  • INDEPENDENT-INTEGRATION-REVIEW.txt lines 1–158

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/INDEPENDENT-INTEGRATION-REVIEW.txt

    6b910cd5577f1591b0859ad6c8edabf39b90ef5de79cb169afe0e2e72315ad5e

  • check_distinct_quarter_lifts.py lines 1–48

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/check_distinct_quarter_lifts.py

    a815efb60b4853b362b24244365269894d66c89fc3d11d46e94af5edaf58e94e

  • distinct-quarter-lifts-results.json lines 1–20

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/distinct-quarter-lifts-results.json

    de4fb553d9ba81741af9e568e70642c2317faae9c3d040c7a952edf2bfd1c793

finding:theta-scalar-square-lift-is-distinct-from-symplectic-f20-lift