OMEGA TRANSITION INVARIANTS
11 October 2026, v1.0. Not a source paper.

An exact symbolic-algebra checker with a finite canonical-ledger audit.
The symbolic checks use free variables. Their identities hold under the
stated assumptions, beyond particular numerical examples.
The 753,664 ledger checks cover seeds 0 through 32767 and horizons 1
through 23. That finite audit does not extend the symbolic identities.

Run from this directory:
  python3 -B OMEGA_Transition_Invariants_Proof.py
  python3 -B -O OMEGA_Transition_Invariants_Proof.py

Standard library only. Python 3.10 or later.

The supplied record used Python 3.12.14 at 2026-10-11T23:19:35Z.
It names source SHA-256
e94400b6e136bed009388c5d17e4f1c698235b7b938f75c266bbaf363a15a0ca.
That hash identifies the same source bytes as the hosted checker.
This archive repeated both commands on Python 3.10.21. Both exited 0.
The pass lines agree, which supports execution agreement.
The hosted logs have recorded SHA-256 digests. Matching those digests
checks the logs' byte integrity. The logs document the archive's
reported executions. Rerunning the checker tests whether those results
are reproducible. A matching hash does not itself verify that the
recorded execution occurred or that the checker is mathematically
correct.

Neither execution establishes physical unification or independent
mathematical review. The canonical sine is not evaluated.