TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-local-source-variable-background-20261102/H-FINAL-REVIEW.txt
Original file SHA-256: a442addd4cb4840859a01a90a8aa766967eba686fd4963419cab44c6a571e8fd
Inclusive original lines: 1-52
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 | FINAL REVIEW OF PHYSICAL-THERMAL-SOURCE.txt
000002 | joint_origin, 2 November2026. No additional test suite or canonical edit.
000003 | 
000004 | VERDICT: MATHEMATICAL CONSTRUCTION ACCEPTED IN ITS STATED CLASS
000005 | 
000006 | The physical Gauss-sector construction is correct with the stated actual
000007 | regular finite-group links, complete preserved stars and open boundary.
000008 | The free-link-orbit nonemptiness argument applies, the projected Gibbs
000009 | weight is positive, and finite KMS/ground conditions apply on A^G.
000010 | Ambient state extensions and a common weak-* subnet impose every fixed
000011 | Gauss condition eventually. Centrality in A^G then makes the full GNS
000012 | representation factor through the physical quotient. No false projected
000013 | Hilbert-space tensor embedding is introduced.
000014 | 
000015 | The report explicitly and correctly allows this state to differ from the
000016 | earlier ambient v1013 state. It does not identify it with a supplied P1
000017 | state or the master source. The thermal reflection is expressly the
000018 | adjoint/reversed-word reflection; identifying it with P1 Theta requires
000019 | the actual original map. This is an existing scope, not a new global gap.
000020 | 
000021 | The complete Euclidean-word proof is consistent with the independent
000022 | EUCLIDEAN-SOURCE-REVIEW.txt: correct negative imaginary-time convention,
000023 | Holder bound on the physical block, fixed-epsilon Gaussian norm limit,
000024 | uniform unsmearing, and the exact B_i*B_j reflection Gram. Each argument
000025 | uses the SAME state subnet, with actual admissible insertions preserving P.
000026 | It does not apply KMS or physical ground energy to isolated gauge-changing
000027 | ambient fields. The bounded source exponential majorant is adequate.
000028 | 
000029 | The normalized source is kept distinct from the unnormalized original
000030 | Z_rel. Original energy offsets and actual reference factors are retained.
000031 | Controlled IR universality remains an original mandatory application;
000032 | no a->0 requirement has been added.
000033 | 
000034 | ONE EVIDENCE-SCOPE CLARIFICATION BEFORE REGISTRATION
000035 | 
000036 | Add immediately after the GAUSS-NATIVE evidence reference:
000037 | 
000038 |  'The native control is the unchanged v989 four-site Z4 source with
000039 |   dimension1024 and physical rank64. It is a separate original finite
000040 |   control case, not execution of v1013's16,777,216-dimensional DET16 cell
000041 |   or a measurement of its entire thermodynamic family. The all-volume
000042 |   existence and full-word statements above are analytic.'
000043 | 
000044 | The currently linked GAUSS-NATIVE.txt already states this distinction.
000045 | The main synthesis should retain it explicitly so its combined evidence
000046 | cannot be read as native execution of the full v1013 class. This is a
000047 | clarification of evidence scope; no mathematical error in the main
000048 | construction was found. No second suite is necessary.
000049 | 
000050 | ROOT RESOLUTION: the main evidence paragraph now explicitly separates the
000051 | native1024D v989 control from the unexecuted16,777,216D v1013 DET16 cell.
000052 | The all-volume and full-word assertions remain analytic. No scope enlarged.