TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/graded_boundary_functor/REVIEW-HS-CREATION-TIME.txt
Original file SHA-256: e5eb612a6e5c7f75b95420c2250b4f891608cb029997ddd67dd0a7b6ff69284a
Inclusive original lines: 1-27
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 | Analytical review by root, 29 October 2026. No new numerical run.
000002 | 
000003 | The preferred creation map was independently derived before integration
000004 | into GRADED-HS-REFLECTION-AND-TIME.txt and then read in its actual final
000005 | text. Ordinary a(w) is antilinear, a^*(v) linear. The entire four-slot map
000006 | a_R^*(v0)-a_L^*(v1)+a_R(w0)-a_L(w1) has the full covariance G(h), including
000007 | the positive cross term. The fixed partner phase gives J_R=Q_Gamma^* J_HS,
000008 | with both geometric R phases correct. The same t group is intertwined on
000009 | both creation slots and both conjugate slots. The alternative earlier
000010 | annihilator-coordinate inverse parameter is not a gap of this map.
000011 | 
000012 | The full even HS Gram agrees with the independent Wick determinant proof.
000013 | The positive source excitation Hamiltonian, its finite-temperature heat
000014 | products, and the two-sided thermal HS Liouvillian are correctly separated.
000015 | The one-fermion normalized sech example invalidates the proposed heat
000016 | obstruction. The bounded-product Schatten estimate is consistent with all
000017 | heat intervals summing to ell. No divergent sea energy subtraction is used.
000018 | 
000019 | This uses the general existing HS construction, not a literal identification
000020 | of rho(h_Phi) with the old scalar NS/QWZ source. At Phi=0, h=A gamma_F is
000021 | already different from A tensor I. The actual physical P1 insertion/domain
000022 | and old-source maps remain to be proved. These distinctions are explicit.
000023 | 
000024 | Independent end-text review by neutral_moebius_source confirmed the full
000025 | CAR/covariance, both reflection phases, even RP and same-parameter time.
000026 | Its requested beta=2ell identification was incorporated into the source
000027 | before registration, so the HS cross kernel is exactly the geometric one.