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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.

Scoped exclusion

Literal geometric quarter is not central Gaussian quarter

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

Named quotients and generator map. Code/context quotient is not correct theta translation target;positive Pauli bridge remains. A spin lift of Q² is a distinct correctly typed comparison.

Read the exact result, assumptions and evidence

Result

Literal geometric quarter is not central Gaussian quarter. On Jac(C)[2],Q acts by diag(A,A),A=[[1,0],[1,1]],rank(Q−I)=2. J=i acts identically on L/(1+i)L. Hence no invertible intertwiner with Q->J exists. Excludes only this literal generator identification;source already identifies Q with rank3 U,not J.

Required assumptions

  • Recovered genus2 cover with retained coefficients

    Retain exactly the older three-sheet cover C:w³=(z²-1)/(z²+1), eta=z(1-w³), eta²=1-w⁶, six Weierstrass points p_a=omega^a,q_a=-omega^a, given z base and clock markings. Seek actual flat coefficient lines for existing v117 monodromy, not mere permutation equivalence or an assumed field intertwiner.

  • Unchanged A0* Fuchsian equation and actual C4 clock

    Fix exactly v115 A0*, U=diag(1,i,-i), residues U^k A0* U^-k at i^k and regular base point z=0. Retain base rotation, positive meridian on t=z⁴ and simultaneous fiber basis change. No new Riemann Hilbert solution or D4 reflection lift is assumed.

  • Native Pauli translations and frozen Gaussian phase class

    Native theta-translation target is P_nat=N64/mu4 from v783 in frozen four-component frame,with actual sigma and J=iI. Code quotient L/(1+i)L is the distinct duality-twisted context module. G31 has center mu4;full Clifford matrix group has center mu8 and additional coset zeta8 G31. Retain these concrete actions and phases.

  • 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 evidence

  • Q-NATIVE-CLOCK-TEST.txt lines 1–176

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/Q-NATIVE-CLOCK-TEST.txt

    bf565a83ce5e7d8a70bd24ad77b97ae24610d37180b2e675c866aa6cb3578ce4

  • Q-NATIVE-CLOCK-INDEPENDENT-REVIEW.txt lines 1–117

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/Q-NATIVE-CLOCK-INDEPENDENT-REVIEW.txt

    d4f5af71577b42dc504b6dae505796f541bfce9c14d8372f72c1f266146f8954

finding:literal-geometric-quarter-is-not-central-gaussian-quarter-on-labels