TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CURRENT-PAPER-RELATIVE-SOURCE-CALL-REVIEW.txt
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000001 | CURRENT PAPER CALLS VERSUS THE ARCHIVED PRIMITIVE DECK SPLIT
000002 | 30 October 2026. Targeted sole-Atlas paper discovery and original-source reading.
000003 | Verdict: the current positive operator reader is explicit; it is not a new
000004 | proof equating the archived geometric deck split to a pure product fiber.
000005 | No new source, boundary extension, test suite or Atlas change.
000006 | 
000007 | 1. Current documents actually checked
000008 | The sole Atlas marks document:tfpt_2_standard_model and
000009 | document:tfpt_research_contracts ACTIVE. The often used boundary source001
000010 | belongs to document:_archive/tfpt-45/01_boundary_kernel and is ARCHIVE.
000011 | Source hash validity is distinct from active publication scope: source001's
000012 | unchanged hash does not make its old definition the only current definition.
000013 | No conclusion below relies on the generated AI paper summaries.
000014 | 
000015 | The decisive current original is
000016 | documents/tfpt_2_standard_model/sections/
000017 | 010-section-the-explicit-mass-gap-closes-dynamics-and-cluste.tex:273-318,
000018 | paper-source:2f8a823f065f3d3a1c82d4dc,
000019 | SHA256 3a31f272d999f1e0b027f25a877068576c6cbdc83150c7b5c0f8a6e17bed1904.
000020 | Its equation279-280 contains
000021 |   S=Tr f((D_rel+A_Sigma)/chi)-Tr f(D_ref/chi)+(i pi/2)Delta eta.
000022 | Line282 calls D_rel the MATTER/GAUGE Dirac operator. Lines306-309 then
000023 | identify it through modular/covariance induction, with the finite reader
000024 |   C_F=P_F C_Sigma P_F,
000025 |   D_ind=log((I-C_F)C_F^-1).                              (1)
000026 | This is a genuine explicit current reader. It is not the same displayed
000027 | construction as source001:126-128, whose D_rel is the deck-odd part of D.
000028 | The current passage does not give a spinor-domain intertwiner proving
000029 | those two uses of D_rel identical, nor does it derive tau*=S tensor gamma_F.
000030 | 
000031 | 2. Existing verification and deduction are preserved, not re-audited as new
000032 | Graph-first inspection of v258_dirac_covariance_induction.py found
000033 | induce:65-69 and kms_cov:72-76. Their real operation is the inverse Fermi
000034 | map: induce((1+exp(H))^-1)=H. The run builds its input Dirac/Yukawa matrices
000035 | first; the physical C_F=P_F C_Sigma P_F step is recorded by check(...,True)
000036 | at143-155, not obtained by running a seam-to-carrier compression there.
000037 | This precise current paragraph and source path are ALREADY reviewed in
000038 | finding:v258-forward-source-gap-is-reused-not-solved-by-inversion,
000039 | research-source:b2e5cc82888fa744942ad173. We retain that scoped verdict.
000040 | We neither relabel this old fact a fresh obstruction nor discard its exact
000041 | positive inverse map. The quoted current formula is an alternative actual
000042 | source reader, so a new nine-address or purely geometric Gamma gate is
000043 | not imposed as its necessary architecture.
000044 | 
000045 | 3. Execute that actual current reader on the existing whole-source face
000046 | For the already given original inner-fluctuation family
000047 |   Phi_s=(1+s)D_Y+D_MR,
000048 | retain its entire charged h_s=A gamma_F-i gamma_F Phi_s and full two-face
000049 | G_s. Its second face is the strict positive contraction
000050 |   C_s=(G_s)_22=(I+exp(2ell h_s))^-1.
000051 | Spectral calculus gives exactly, without a commuting-variation assumption,
000052 |   log((I-C_s)C_s^-1)=2ell h_s,
000053 |   delta log((I-C_s)C_s^-1)=-2ell i gamma_F D_Y.           (2)
000054 | At finite Fourier p this is an identity on the full96 coefficient. On the
000055 | whole existing circle source it is an equality of selfadjoint operators
000056 | with domain Dom(h_s)=H1. C_s and I-C_s are injective but not uniformly
000057 | bounded below on that infinite space; the logarithm uses its actual
000058 | spectral domain, not a bounded-matrix inverse on all L2.
000059 | 
000060 | Thus the already calculated noncommutative two-face response is exactly
000061 | consistent with the current reader's response on THIS original source
000062 | face. The whole pure G_s itself cannot be put in(1): its spectrum is0,1.
000063 | The half-face contraction and whole Cauchy projector have different types.
000064 | No second state or freely chosen covariance was introduced in(2).
000065 | Nor is C_s silently declared equal to the paper's finite compressed C_F:
000066 | that is the already named physical compression premise. A compression
000067 | inside the logarithm is a real operation and generally does not commute
000068 | with the logarithm. Equation(2) supplies an exact comparison before such
000069 | a further original carrier operation, not an invented carrier selection.
000070 | 
000071 | 4. The current domain and cutoff statements are also different
000072 | The current paper's explicit APS lemma, same file161-183,
000073 | paper-source:ab51355d5b6e1f8061d58c32, concerns the geometric BRST/Hodge
000074 | complex on the compactified normal S2 and its seam-even APS realization.
000075 | It supplies a Fredholm/index statement in that type; it does not print
000076 | the full F5 doubled-spinor transition carrying the current D_ref pair.
000077 | This distinguishes two existing operator domains rather than choosing
000078 | a new one for either calculation.
000079 | 
000080 | Current documents/tfpt_research_contracts/sections/007-source.tex:4-22,
000081 | paper-source:4493812a05dfb280095129c7,
000082 | SHA256 3bc402debcf11dbf7d5560b37e64c6afe6126bc121c9af39901bb39f90cb89fd,
000083 | prints a metric-measure GOAL with lim_(chi->infinity) over G_chi/Diff.
000084 | That chi is an ultraviolet regulator of the declared metric-measure family.
000085 | The archived chi_seed=lambda_1^+(|B_Sigma|)^-1 is a fixed boundary gap
000086 | response. Their scale identification and variations cannot be inferred
000087 | merely because the same letter is used. The current Sobolev/BRST statement
000088 | at15-22 also does not turn a pure fiber matrix into a bulk pullback.
000089 | 
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