TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-REVERSE-KERNEL-AND-C3-CHECK.json
Original file SHA-256: b28ae1e183a2173fa38a818e4b2c438fa8780e1cba313e4c5429e4c57a6228f6
Inclusive original lines: 1-14
Line numbers below refer to the original source.
This bounded excerpt is source evidence; it is not a new proof/checker run.
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000001 | {
000002 |   "whole_reverse_kernel": "Gq J*= [[Xq j*,Aq j*],[(I-Aq)j*,Xq j*]]",
000003 |   "same_face_is_original_cross_coherence": true,
000004 |   "geometric_offdiag_total_c_invariant_rank": 2,
000005 |   "geometric_full9_total_c_invariant_rank": 3,
000006 |   "rho_projector_rank": 1,
000007 |   "full_c_average_times_rho_projector": "zero exactly",
000008 |   "original_clifford_reader": "c(dz)=z(N+S), N+S=[[0,0],[2,0]]",
000009 |   "induced_boundary_symbol": "-N c(dz)=z(I+Z)",
000010 |   "weight_L1_exponent": "-2/3 > -1",
000011 |   "weight_L2_exponent": "-4/3 < -1",
000012 |   "L2_output_criterion": "beta > (1-2m)/6 in actual deweighted surviving channel",
000013 |   "scope": "Exact whole-face identities and already calibrated total product c=R_V^2. Does not identify original internal Z_c, choose a physical reader, or promote an unsandwiched singular multiplier to a bounded operator."
000014 | }