Established within the stated premises
Original root and sign lines have minimal common degree48 cover
finding:original-root-and-sign-lines-have-minimal-degree48-common-cover
For D:H¹²=f(z),w=H⁴,g=H³ and actual unramified V4 cover Yq/C,function fields are linearly disjoint over C. D/C is totally C4 ramified at four points and has no nontrivial unramified intermediate. X=Norm(D times_C Yq) has degree16 over C,degree48 over z,group C12 times_C3 A4 isomorphic A4 times C4,genus41. Minimality holds among all connected common covers:g and w determine H=w/g;trivializing three lines forces Yq. Common C3 quotient is identified once. Accepted quarter lifts combine diagonally with order4.
Scope: Minimal common holomorphic carrier of expressly given root coordinates and flat coefficient lines. No new physical worldsheet,CAR state or full compiler field map. Geometric clock here inverts deck generator;it is not separate commuting compiler order12 clock.
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 - 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.
premise:original-p2-order-three-cusp-and-stable-anchor-target - 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/COMMON-COVER-COMPOSITUM.txt, lines 1–180
Source SHA256: c92e9aff9717118a4b78fc4cf582dedf75921aad114a4147d08557445735ac04
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/COMMON-COVER-COMPOSITUM.txt, lines 181–292
Source SHA256: c92e9aff9717118a4b78fc4cf582dedf75921aad114a4147d08557445735ac04
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/COMMON-COVER-INDEPENDENT-REVIEW.txt, lines 1–180
Source SHA256: 2c9c79ddc4e4a8c97ab39b07d2562c0f13362a7a90b6e673c0693997711b11cd
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/COMMON-COVER-INDEPENDENT-REVIEW.txt, lines 181–209
Source SHA256: 2c9c79ddc4e4a8c97ab39b07d2562c0f13362a7a90b6e673c0693997711b11cd
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/check_common_cover_compositum.py, lines 1–164
Source SHA256: 7b8d14d0db28ab2cce0819ff306007aa4ba17d3673a88cbc0e5e6118343b3fb2
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/common-cover-compositum-results.json, lines 1–25
Source SHA256: 83862510fea40be29d64d9f8beb5bdc8b03472b25f00b3dc208828394bd359c0
bounded-excerpt · current-at-snapshot