TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-CAP-STATE-CHECK.json Original file SHA-256: f91b4bdf07232f5f69c0015bf520d5b9a6ce4e1e7dd7c9c058af21e8f75da1cc Inclusive original lines: 1-9 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. 000001 | { 000002 | "original_block_norm": true, 000003 | "commutator_norm_squared": true, 000004 | "cap_return_amplitude": true, 000005 | "excitation_probability": true, 000006 | "commutator_norm_squared_exact": "2/(9*(3*sinh(5*ell/12)/5 + cosh(5*ell/12))**2)", 000007 | "scope": "Exact original odd quarter block control. All-mode Fock/return claims require analytic implementation and modewise convergence proof; no original physical Seed identification.", 000008 | "verification_note": "Equality reduced exactly after rewriting all hyperbolic functions as exponentials; direct hyperbolic simplification alone was inconclusive." 000009 | }