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Established in scope

Source cubic matches native Pauli translations after correcting context target

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

This lemma covers exact symplectic bridge. Full central and four-dimensional bridge for Wq is closed in subsequent finding:spin-rigidified-theta-module-intertwines-full-native-heisenberg-clock-package. Older v784/v796 objects and exclusions retain scope.

Read the exact result, assumptions and evidence

Result

Source cubic matches native Pauli translations after correcting context target. v783 distinguishes code labels L/(1+i)L from P_nat=N64/mu4;full Sp4 modules admit no linear intertwiner. On P_nat original sigma is fixed-point-free with polynomial(x²+x+1)²,exactly as c on Jac(C)[2]. Phi with columns IY,YZ,ZY,YI is explicit symplectic intertwiner. Among35 planes exactly5 are sigma invariant,exactly2 symplectic and orthogonal,selecting same unordered triple pair natively. Exactly18 c-equivariant symplectic markings remain. Earlier0-versus2 fixed-space conflict concerns only wrong code/context target.

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

  • CUBIC-NATIVE-MARKING-TEST.txt lines 1–180

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/CUBIC-NATIVE-MARKING-TEST.txt

    361a7c61680ae2450a3b62a34a71cfe7525d65433f123f0ffea3668d9f44de48

  • CUBIC-NATIVE-MARKING-TEST.txt lines 181–235

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/CUBIC-NATIVE-MARKING-TEST.txt

    361a7c61680ae2450a3b62a34a71cfe7525d65433f123f0ffea3668d9f44de48

  • CUBIC-NATIVE-MARKING-INDEPENDENT-REVIEW.txt lines 1–88

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/CUBIC-NATIVE-MARKING-INDEPENDENT-REVIEW.txt

    ff809d45f859504918dd87b55b5f2a44da101caf21c2d4ed514cd01dfb4d31fb

  • PAULI-THETA-TARGET-INDEPENDENT-REVIEW.txt lines 1–57

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/PAULI-THETA-TARGET-INDEPENDENT-REVIEW.txt

    a9a97e24b32be2e367ffc5455e74ef5541374efa8c98d27f1c580876a5b006f3

  • SPIN-RIGIDIFIED-THETA-MODULE.txt lines 1–180

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SPIN-RIGIDIFIED-THETA-MODULE.txt

    4bd17ffbb2be4b31c4eb7a4efe9cd8a1191c9065655889ce189f3b1f6c2499d2

  • SPIN-RIGIDIFIED-THETA-MODULE.txt lines 181–276

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SPIN-RIGIDIFIED-THETA-MODULE.txt

    4bd17ffbb2be4b31c4eb7a4efe9cd8a1191c9065655889ce189f3b1f6c2499d2

  • SPIN-RIGIDIFIED-THETA-MODULE-INDEPENDENT-REVIEW.txt lines 1–130

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SPIN-RIGIDIFIED-THETA-MODULE-INDEPENDENT-REVIEW.txt

    fadd56e04d9e10af0d0f7e9cd94010a35563ee3dc092659499502e410dbb23f8

finding:source-cubic-matches-native-pauli-translations-after-context-target-correction

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