Established in scope
Actual v117 sign lines are two-torsion of negative Weierstrass orbit
In the question: Common clock sectors, quartic geometry and operational reconstruction
Exact flat coefficient lift with actual marked finite monodromy. No intertwiner of primitive CAR fields,state,positive time or support; no implicit selection of joint C2 NS field linearization. Older source already supplied curve and point intertwiner; line identification is separately proved here.
Read the exact result, assumptions and evidence
Result
On C:eta²=1-w⁶ the correct lines are L_a=O(q_a-q_(a+1)),q_a=-omega^a. Kummer roots h_a²=(w+omega^a)/(w+omega^(a+1)) multiply to1. V4 cover Zq of w sphere ramifies only at three q points and has genus0. Actual quotient coordinate t=((1+w³)/(1-w³))² gives degree24 with uniform ramification orders4,3,2 over0,1,infinity. Thus Zq is regular S4 triangle cover of same marked v117 class. Fiber product with z⁴=t has ordinary A4 image; intersection field is C(z²), since S4 has no C4 quotient. Over C this is exactly unramified genus5 V4 kernel cover. Hence pi*E_v117 decomposes into three expressly written unitary two-torsion lines. Equality follows from actual Kummer cover and target marks, not fitted target matrices.
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
- SIGN-LINE-COVER-DICTIONARY.txt lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIGN-LINE-COVER-DICTIONARY.txt
555f75a2d3c67347fa5f8e3c4f7f46e79d94cb4172176c84010224585dc842e7
- SIGN-LINE-COVER-DICTIONARY.txt lines 181–276
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIGN-LINE-COVER-DICTIONARY.txt
555f75a2d3c67347fa5f8e3c4f7f46e79d94cb4172176c84010224585dc842e7
- 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
- check_sign_line_cover.py lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/check_sign_line_cover.py
79ceadfaeb6aea66220f316dc6403a850fb48f47cf21d7a3b942568e6b978177
- check_sign_line_cover.py lines 181–218
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/check_sign_line_cover.py
79ceadfaeb6aea66220f316dc6403a850fb48f47cf21d7a3b942568e6b978177
- sign-line-cover-results.json lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/sign-line-cover-results.json
708ac56062c090ad0320d6999736998476246d98ba6a1c757a2bac11d21a945f
- sign-line-cover-results.json lines 181–203
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/sign-line-cover-results.json
708ac56062c090ad0320d6999736998476246d98ba6a1c757a2bac11d21a945f
- 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:actual-v117-sign-lines-are-negative-weierstrass-triangle-two-torsion