TFPT scientific source excerpt Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/theta_lattice_closure_20261027/direct/THETA-E8-LATTICE-COVARIANCE.txt Original file SHA-256: 81132e7d111ea83bb5ac7e360839083433fc9efb3c2a1e74dab0e5ce1866424e Inclusive original lines: 401-415 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000401 | SPIN-RIGIDIFIED-THETA-MODULE.txt 000402 | The exact alpha, gamma relations and the placement of alpha in the odd 000403 | zeta8 G31 coset. 000404 | 000405 | What is new in this note is the causal reading of those exact inputs: 000406 | 000407 | * projective theta frame covariance yields the E8 similarity class; 000408 | * G31 phase correction is allowed for coordinate transitions; 000409 | * the same correction is forbidden for the actual source alpha; 000410 | * the complete marked integral output is the pair 000411 | {Lambda,zeta8 Lambda} with alpha as transition; 000412 | * the native C12 clock remains an honest automorphism on either branch. 000413 | 000414 | No claim is made that the curve chooses a physical metric scale, a primitive 000415 | P1 state, a full local two branch field theory or a 3+1 dimensional source.