Scoped exclusion
Geometric square clock is not the modular v117 quarter generator
In the question: Common clock sectors, quartic geometry and operational reconstruction
Excludes only unchanged geometricQ mark in actual theta-square representation. No refutation of an originally derived family/sewing transport explicitly retaining distinct paths and central phases. No general exclusion of elliptic flavor sources.
Read the exact result, assumptions and evidence
Result
On actual tau=i torus,Q:z->iz induces modularS on theta squares. It has projective order2 with eigenvalue ratio1:1:−1. U_v117 and its exactly conjugate normalizedT have projective order4 and three distinct eigenvalues. Thus no invertible linear or projective intertwiner sendsQ toU_v117. Positive joint dictionaryT->U andST->M remains valid.
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.
- Theta-square modular action with distinct geometric Q
Test standard S/T action on three theta squares as a representation of a marked elliptic family, retaining weight and central phases. Geometric Q:z->iz at fixed tau=i is the S homology change, not an already supplied T moduli path. Do not assume this family action has the same origin as spatial monodromy of fixed four-punctured P2.
- 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
- MODULAR-C3-SOURCE-TEST.txt lines 1–190
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/MODULAR-C3-SOURCE-TEST.txt
cf2fc1a89b7582ed4986b71c7a9e243525cd4ea2333cdd1cd4c86dce107b3993
- MODULAR-C3-SOURCE-TEST.txt lines 191–345
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/MODULAR-C3-SOURCE-TEST.txt
cf2fc1a89b7582ed4986b71c7a9e243525cd4ea2333cdd1cd4c86dce107b3993
- INDEPENDENT-FINAL-REVIEW.txt lines 1–168
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/INDEPENDENT-FINAL-REVIEW.txt
e9de361910ef0018fad5aaeae2831244ed23094990a8a6827ff45848c32f17eb
- check_spin_transport_and_cusp.py lines 1–144
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/check_spin_transport_and_cusp.py
590c83f4347957009aca9ccbbd5eefe848425f0b5c26b0a7ba0e5fbf99eaac6a
- spin-transport-cusp-results.json lines 1–33
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/spin-transport-cusp-results.json
0630c3c9ca65d10b083c4ea891f3f294e1e7f78bd31c3b2e6ad207767aeb06ce
finding:geometric-square-clock-is-not-theta-v117-quarter-generator