TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/mixed-current-origin-20261014/ATLAS-KMS-LOCALITY-AND-SOURCE-WINDING.txt
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000001 | UR.SEAM.MIXED_CURRENT_ORIGIN.01 -- 23 October 2026
000002 | Atlas re-audit: can modular/KMS reconstruction make the global spinor map local?
000003 | Verdict: PARTIAL. The proposed automatic KMS/local-modular rescue fails.
000004 | No new physical P1 spinor sector is constructed or universally excluded.
000005 | 
000006 | 1. Why this route, and what is already decided
000007 | 
000008 | The live Atlas has113source-reviewed findings for the common-source problem.
000009 | The actual neutral8preimage pair, exact global odd-spinor Phi and conditional
000010 | local parity-Gauss completion are POSITIVE results retained here. Fixed-source
000011 | nonunitary compactness and complete-Dirac vector cancellation are reused;
000012 | no new profile, source-copy multiplication or scalar phase search is run.
000013 | The changed question is whether the older KMS/modular uniqueness theorem
000014 | provides the missing physical local operator comparison for that global Phi.
000015 | 
000016 | Original sources actually checked through Atlas read_source:
000017 | documents/articles--2026-08-29--holomorphic_kms_extension_en/sections/
000018 |   001-section-setting-and-correction-of-terminology.tex, lines44-118,163-190;
000019 |   002-subsection-the-frozen-car-covariance.tex, lines68-228;
000020 |   003-section-what-this-closes-and-does-not-close.tex, lines73-92.
000021 | Also ODD-SECTOR-REFIELDING-AND-NAHT.txt, sections2-5, and the full-source
000022 | spectral exhaustion. The older17September audit concerns real dilation vs
000023 | unitary phase, a distinct previously excluded identification not rerun here.
000024 | 
000025 | 2. First identification: what the KMS theorem actually assumes
000026 | 
000027 | The holomorphic-KMS paper assumes B exists, has c8,mu_B1 and an irreducible
000028 | index4 inclusion A=B^Z4. Its subnet state is DEFINED as Phi_beta^B|A.
000029 | Consequently Phi_beta^B is an extension by definition. Once these hypotheses
000030 | hold, averaging E and invariant-state extension uniqueness are valid:
000031 |   E=(1/4)sum_r alpha_r, psi invariant => psi=psi|A composed E.
000032 | None of this constructs B, its charged local generators or their products.
000033 | E is defined ON B and kills nonzero grading components. The paper itself
000034 | explicitly retains the microscopic non-bilinear-field identification gap.
000035 | The parent theorem is not refuted by observing this conditional structure.
000036 | 
000037 | There is also a time distinction: that theorem uses conformal rotation L0.
000038 | The actual given folded SOURCE time is H_source=8K, K=L0+delta.p.
000039 | Neither angular beta2pi nor the rotational-KMS classification is silently
000040 | identified with a physical beta for H_source. The thermal test below is
000041 | valid for EVERY beta>0 for the specified H_source; no temperature is fitted.