TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-ACTUAL-MARKED-SPECTRAL-READOUT-CHECK.json Original file SHA-256: 332e42f9d79006973afd3f5ca65a230839402e99a0a666689d1548908ffcbdb9 Inclusive original lines: 1-19 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 | "checks": { 000003 | "original_cube": true, 000004 | "F_centralization": true, 000005 | "N_centralization": true, 000006 | "full_marked_determinant": true, 000007 | "central_determinant": true, 000008 | "nonlinear_difference": true, 000009 | "linear_agreement": true, 000010 | "actual_phase": true, 000011 | "full_adjoint_residual": true, 000012 | "quadratic_not_identically_zero_for_real_ratio": true 000013 | }, 000014 | "passed": true, 000015 | "full_determinant": "alpha*beta*delta*u**2 + 2*I*alpha*beta*u*v*y - delta**3 - delta**2*u*(alpha - beta) - I*delta*v*y*(alpha - beta) + y**3", 000016 | "central_determinant": "I*v**3*(alpha/3 - beta/3)**3 - 3*I*v*y*(alpha/3 - beta/3)*(delta + u*(alpha/3 - beta/3)) + y**3 - (delta + u*(alpha/3 - beta/3))**3", 000017 | "full_minus_central": "delta*u**2*(alpha**2 + alpha*beta + beta**2)/3 + u**3*(alpha/3 - beta/3)**3 + I*u*v*y*(alpha**2 + 4*alpha*beta + beta**2)/3 - I*v**3*(alpha/3 - beta/3)**3", 000018 | "scope": "Full original marked coefficient family. Centralization is a linear scalar readout, not a whole nonlinear source replacement. Original real delta contract retained." 000019 | }