TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/claude48-pauli-ph-face-block-results.json
Original file SHA-256: 666f077db9359b620e7eb471e05f1e4e6054226ed7c99a922a2d04b84b4de9d0
Inclusive original lines: 1-33
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 |   "scope": "Finite Pi/Pi_h contribution for the existing Phi=0 NS graph source. No selection of this compression as the whole original kernel.",
000003 |   "face_blocks": {
000004 |     "pp": "2*sqrt(a)*sqrt(1 - a)",
000005 |     "hp": "2*a - 1",
000006 |     "ph": "2*a - 1",
000007 |     "hh": "-2*sqrt(a)*sqrt(1 - a)"
000008 |   },
000009 |   "at_half_mode": {
000010 |     "a": "1/(1+exp(-ell_NS))",
000011 |     "pp": "sech(ell_NS/2)",
000012 |     "ph": "hp=tanh(ell_NS/2)",
000013 |     "ratio_ph_to_pp": "sinh(ell_NS/2)"
000014 |   },
000015 |   "family_traces": {
000016 |     "FF": "0",
000017 |     "NN": "0",
000018 |     "FN": "-2*I*I02*I21",
000019 |     "NF": "-2*I*I02*I21"
000020 |   },
000021 |   "actual_v252": {
000022 |     "dimension": 96,
000023 |     "families": 3,
000024 |     "rank_P_gamma_plus_full": 48,
000025 |     "rank_P_gamma_plus_per_family": 16
000026 |   },
000027 |   "normalization": {
000028 |     "per_Pgamma_component": "(2/pi)^2 tanh(ell_NS/2)^2 Tr_family(m_mu m_nu)",
000029 |     "ordinary_full_finite_trace": "16 times the per-component expression",
000030 |     "note": "A selfdual second-quantization convention may add its stated global 1/2, but cannot remove the carrier multiplicity without an explicit normalized trace."
000031 |   },
000032 |   "passed": true
000033 | }