Established in scope
Negative sign packet carries original quarter lift
In the question: Common clock sectors, quartic geometry and operational reconstruction
Equivariant flat coefficient lines of unchanged v117 source with actual clock direction. No selection of CAR field quantization or state,no identification of modularT with geometricQ,no new base inversion symmetry.
Read the exact result, assumptions and evidence
Result
Original geometric lift Q(z,w,eta)=(iz,w^-1,-i eta/w³) preserves q orbit and satisfies Q²=(−z,w,−eta). Kummer roots obey Q*h_a=epsilon_a omega/h_(-a-1),product epsilon_a=1. Actual local marked inertia t proportional s⁴ at q_0 forces epsilon_0/epsilon_2=−1 and epsilon_1=−1. The two inverse lifts are V4 frame-conjugate. Determinant-one coefficient representation fixes the remaining line with+1,square has two minus signs,spectrum1,i,−i. Explicit simultaneous basis change identifies U; positive quotient monodromy is contravariantly U^-1. C4 equivariance of existing coefficient lift is closed.
Required assumptions
- Original P2 order-three cusp class and stable bundle anchor
Target the original P2 Deligne class with cusp weights0,1/3,2/3 and holomorphic anchor O(-2)+O(-1)^2. Exact v117 M0_EXACT has polynomiallambda³−1,trace0,order3;its joint representation with U is irreducible. Keep these exact matrix properties distinct from the numerical ODE identification there. Test whether the natural scalar/spin pushforward of existing C2 realizes this actual connection;physical selection of the direct sum as flavor module is not presumed.
- 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.
- 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.
- 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
- CLOCK-Q-PACKET-COMPATIBILITY.txt lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/CLOCK-Q-PACKET-COMPATIBILITY.txt
fe37f20bbb2d959dfe678ca1bf435a69067cfcb859a3d36769294bbe9bf61c32
- CLOCK-Q-PACKET-COMPATIBILITY.txt lines 181–209
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/CLOCK-Q-PACKET-COMPATIBILITY.txt
fe37f20bbb2d959dfe678ca1bf435a69067cfcb859a3d36769294bbe9bf61c32
- SIGN-LINE-INDEPENDENT-REVIEW.txt lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIGN-LINE-INDEPENDENT-REVIEW.txt
0fe7f92d0155a0fc5b15d585ec2042930e1e3fa8508c346aee636b053b068280
- SIGN-LINE-INDEPENDENT-REVIEW.txt lines 181–314
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIGN-LINE-INDEPENDENT-REVIEW.txt
0fe7f92d0155a0fc5b15d585ec2042930e1e3fa8508c346aee636b053b068280
- 004-subsection-auch-die-skalen-besitzen-einen-gemeinsamen-va.tex lines 283–327
Source checked at this snapshot
Original location and fingerprint
documents/tfpt_explorer--docs--session-2026-09-28--TFPT_Gesamtsynthese_2026-09-28/sections/004-subsection-auch-die-skalen-besitzen-einen-gemeinsamen-va.tex
574058876ebe23d693a9fce061f68da6fdec63419af78243ac9d457d7858f74b
finding:negative-sign-packet-has-source-selected-quarter-clock-lift