Excluded in the stated class
Common cyclic twelve cover does not trivialize v117 sign lines
finding:common-cyclic-twelve-cover-does-not-trivialize-v117-unramified-sign-lines
Common cyclic fiber-product cover D:h¹²=(z²-1)/(z²+1) transports g=h³ and w=h⁴. Over C it is h⁴=w, totally ramified at two simple zeros and two simple poles of w. Its unique quadratic intermediate h² with square w is also ramified. Therefore D neither contains nor trivializes any of three nontrivial everywhere unramified actual v117 lines L_a. Geometric Q lift (z,h)->(iz,i/h) transports underlying curves but does not replace missing coefficients or a common field state.
Scope: Only specified cyclic mu12 root cover as automatic sign or field completion. Older general C12 monodromy/intertwiner contract is unchanged. Does not exclude other common higher covers or actual transported field maps.
Required premises and original source excerpts
- Existing C2 group with untwisted raw flat spin pullbacks
On the existing marked parity curve E:y²=x⁴−1,study h=(x,−y),Q=(ix,y),kappa=(bar x,bar y) and flat square-lattice spin characters. The explicit raw one-particle calculation uses the untwisted line alpha with chi(A)=chi(B)=−1. Complex-linear pullbacks U and anti-linear Real structures j are distinct;no fitted U1 phase. This is not the normal twist alpha tensor p*O1 with its two-dimensional kernel. An original P1 Spin/Pin or Calderon transport is not presumed.
premise:existing-c2-group-with-untwisted-raw-flat-spin-pullbacks - Ramified holomorphic half-form trace of the given C2 spin line
Retain actual E:y²=x⁴−1, its already supplied Q fixed nontrivial NS NS spin-line class alpha and normalized Szego kernel. Holomorphic trace includes sqrt(dz/dx), while ordinary flat coefficient p_*alpha remains separate. No extra Q linearization phase, positive equal-time CAR covariance or smooth circle domain is assumed.
premise:ramified-holomorphic-half-form-trace-of-existing-c2-spin - 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.
premise:actual-original-a0star-fuchsian-connection-and-c4-clock - 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.
premise:recovered-genus-two-cover-with-retained-signed-coefficients - 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.
premise:typed-source-structures
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIGN-LINE-COVER-DICTIONARY.txt, lines 1–180
Source SHA256: 555f75a2d3c67347fa5f8e3c4f7f46e79d94cb4172176c84010224585dc842e7
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIGN-LINE-COVER-DICTIONARY.txt, lines 181–276
Source SHA256: 555f75a2d3c67347fa5f8e3c4f7f46e79d94cb4172176c84010224585dc842e7
bounded-sanitized-excerpt · current-at-snapshot · 7 administrative lines explicitly omitted
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIGN-LINE-INDEPENDENT-REVIEW.txt, lines 1–180
Source SHA256: 0fe7f92d0155a0fc5b15d585ec2042930e1e3fa8508c346aee636b053b068280
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIGN-LINE-INDEPENDENT-REVIEW.txt, lines 181–314
Source SHA256: 0fe7f92d0155a0fc5b15d585ec2042930e1e3fa8508c346aee636b053b068280
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/check_sign_line_cover.py, lines 1–180
Source SHA256: 79ceadfaeb6aea66220f316dc6403a850fb48f47cf21d7a3b942568e6b978177
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/check_sign_line_cover.py, lines 181–218
Source SHA256: 79ceadfaeb6aea66220f316dc6403a850fb48f47cf21d7a3b942568e6b978177
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/sign-line-cover-results.json, lines 1–180
Source SHA256: 708ac56062c090ad0320d6999736998476246d98ba6a1c757a2bac11d21a945f
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/sign-line-cover-results.json, lines 181–203
Source SHA256: 708ac56062c090ad0320d6999736998476246d98ba6a1c757a2bac11d21a945f
bounded-excerpt · current-at-snapshot