OMEGA transition invariant witnesses v1.0 Optimization mode: 0 PASS 1: exact polynomial-engine consistency checks PASS 2: calibration, five normalized gaps, and rotation norm identity PASS 3: general projective cross-ratio and OMEGA specialization PASS 4: exact recovery of all six coefficients after reference-length changes PASS 5: both characteristic invariants for arbitrary P5 coefficients, x0, and time PASS 6: ledger base/induction algebra and 753664 canonical prefix invariants PASS 7: RN dimensionless invariant and normalized residual scaling PASS 8: five failure cases detected without weakening the assumptions RESULT: 8/8 groups passed. Algebraic identities plus declared finite execution only. No proof-assistant certification or physical unification is claimed.