Established in scope
Original inversion forces six coefficient lines
In the question: Common clock sectors, quartic geometry and operational reconstruction
Flat coefficients and C6 action;T and Q remain distinct marked operators. Fixed hexagon symmetry at most D12 does not supply full Sp4(2). Following source theorem closes spin selection.
Read the exact result, assumptions and evidence
Result
Original inversion forces six coefficient lines. s:w->−w exchanges q and p packets;their minimal s-stable closure is sum of both triples. Vq and Vp are orthogonal symplectic planes spanning Jac(C)[2]. Joint unramified elementary two-cover has degree16 over C,genus17. Explicit normalized Kummer lifts of c,s give order6 T=sc and old block M plus(−M). Lift choice remains a recorded deck torsor.
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.
- 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
- SIX-LINE-THETA-COMPLETION.txt lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIX-LINE-THETA-COMPLETION.txt
99676497d1de1769807c1e34208f45e12e95b6e9460618b1d84aa3e51e64675f
- SIX-LINE-THETA-COMPLETION.txt lines 181–279
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIX-LINE-THETA-COMPLETION.txt
99676497d1de1769807c1e34208f45e12e95b6e9460618b1d84aa3e51e64675f
- SIX-LINE-INDEPENDENT-REVIEW.txt lines 1–117
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIX-LINE-INDEPENDENT-REVIEW.txt
015105c3bcaa28f0553000ab6451041d3d15254faa28678049ff87d4dd4eb066
finding:source-inversion-forces-six-line-theta-completion