TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-local-source-variable-background-20261102/FINAL-REVIEW.txt
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000001 | FINAL INDEPENDENT REVIEW OF FULL-SOURCE-CORRECTION.txt
000002 | 2 November2026. relational_logic. No new test run or canonical changes.
000003 | 
000004 | Verdict: accept the correction in its stated scope. It withdraws the overly
000005 | narrow global-Z0 framing without declaring a complete fundamental solution.
000006 | It preserves the original full source and its named hypotheses, as well as
000007 | D/E and the later source results.
000008 | 
000009 | 1. Ordered reference identities
000010 | For the SAME linear regulated caller I, nonzero Z_A,Z_R and justified ordered
000011 | inverses,
000012 |  R=w_R^-1 w_A gives w_R R F=w_A F.
000013 | Thus omega_R(RF)=I(w_A F)/Z_R exactly.
000014 | Likewise R^-1=w_A^-1 w_R and omega_A(R^-1)=Z_R/Z_A, so
000015 |  omega_A(F)/omega_A(R^-1)=I(w_A F)/Z_R.
000016 | Both formulas are correct without an illegitimate permutation of F or weights.
000017 | The inverse order is essential. The text correctly declines to replace a
000018 | noncommuting Gibbs weight quotient by exp(-(S_A-S_R)); the actual expansional
000019 | or original operator product must be retained.
000020 | 
000021 | Minor terminological clarification, not a mathematical blocker: for a fully
000022 | abstract noncommuting I, I(w_R F)/Z_R is initially a normalized linear
000023 | functional. Positivity does not follow merely from this notation; it comes
000024 | from the actual trace/graded reference caller when invoked. Section4 does
000025 | not use an invalid positivity inference and explicitly separates complex /
000026 | Grassmann integration from probability, so the stated algebraic identity
000027 | is sound.
000028 | 
000029 | 2. Full joint source versus external backgrounds
000030 | The reweighting argument is correct on the ACTUAL integrated commutative
000031 | bosonic sector: equality on all bounded observable functions implies equality
000032 | of normalized marginal measures, hence q/Eq=1 almost everywhere. It is not
000033 | an assertion that any unspecified operator algebra is a classical field law.
000034 | The contrast with separately normalized states at fixed external b is also
000035 | correct. Their family alone need not determine c(b).
000036 | This practically corrects the earlier inference from a conditional CAR
000037 | normalizer to an independent missing whole-source field weight.
000038 | 
000039 | 3. Original action and source types
000040 | The bare-input role of S_adm follows directly from QFT007's integral and its
000041 | loop expansion. S_prim already has a spectral reference subtraction.
000042 | W, Gamma, residue functionals and the master M therefore cannot be identified
000043 | by their names. The warning against a second reference subtraction is
000044 | conditional on the actual same-reference weight identity; the report does
000045 | not falsely accuse the original of double counting from notation alone.
000046 | Reference-normalized Z_rel[0] versus unit-normalized q is correctly separated.
000047 | 
000048 | 4. Scope and provenance
000049 | The correction does not convert symbolic I,w_A,w_R into an evaluated source.
000050 | It explicitly confines the unexecuted current D_ref/Z_ref comparison to the
000051 | reviewed route and preserves the existing geometric reference producer.
000052 | No all-corpus absence statement, additional universal measure/CAR/clock
000053 | requirement, or new full-physics success is inferred.
000054 | F1 remains open. The original common S/Z/OS/Gamma source remains the valid
000055 | starting point under its stated conditions.
000056 | 
000057 | No further test was necessary: this was a final algebra/type/scope review
000058 | of the supplied correction and the original passages already checked.