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