TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-CURRENT-READER-AND-CANDIDATE-REVIEW.txt
Original file SHA-256: ce8d3c3f261ac0011c5c239ee68def520cd7c3ffe4e7ee41a1185b98d9ff49a0
Inclusive original lines: 46-69
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This bounded excerpt is source evidence; it is not a new proof/checker run.
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000046 | The independent review confirms the AP partial-fraction identity and
000047 | det_zeta,AP(-partial_r^2+u)=4cosh^2(ell sqrt(u))=X(u)^-2.
000048 | They do not force an AP closed normal domain from the orthogonal Cauchy
000049 | projector. The open Poisson graph and positive boundary metric already
000050 | give that projector; a periodic Green realization can have the same image.
000051 | The actual first-order operator is D=N(partial_r+B). Multiplicity, real
000052 | completion and determinant/Pfaffian phase remain necessary before a whole
000053 | determinant identification. APS boundary conditions are not AP holonomy.
000054 | An entire first variation over all independent probes can identify a trace
000055 | gradient. A single scalar directional derivative cannot identify a whole
000056 | operator. Neither fact proves a second variation is mandatory for a first
000057 | source jet. The existing nonzero whole D_Y source response stays valid.
000058 | 
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000066 | 
000067 | 5. Primary-literature check of the scale-anomaly route
000068 | Andrianov and Lizzi, arXiv:1001.2036, sections2.3 and4, start with a given
000069 | fermionic kinetic action and a spectral regularization. Canceling its