TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/dynamic_reconstruction_20261027/CLAUDE-FOLLOWUP-CLAIM-REVIEW.txt
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Inclusive original lines: 1-70
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This bounded excerpt is source evidence; it is not a new proof/checker run.
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000014 | The second answer proposes Z=R_tau restricted to a shell space. That is not
000015 | accepted as derived. Four different identifications remain unproved:
000016 | 
000017 | 1. No embedding of the three-dimensional Petersen shell space into the P1
000018 |    Cauchy-data space has been given. Writing P_C restricted to shells is
000019 |    not a specified finite matrix problem until that embedding and its
000020 |    inner product are supplied. A compression is generally not a projector.
000021 | 
000022 | 2. The source p*=omega4(A7) is an eight-dimensional lattice charge, and its
000023 |    field is neutral under Q=sum a0_j. The Petersen q=(6,-4,1) is a function
000024 |    on three charge classes, not a definite-charge field state. Equal minus
000025 |    signs do not identify these lines, representations or operators.
000026 | 
000027 | 3. The sewing step alpha has alpha^2=beta and order eight; the alternating
000028 |    Petersen frame K has order two. A quotient functor relating them must
000029 |    specify what happens to the nontrivial beta holonomy. It is not supplied
000030 |    by saying that both constructions use two objects. Likewise complex
000031 |    conjugation on a determinant line is an antilinear operation; the real
000032 |    matrix Z is a linear involution. A real-structure identification is
000033 |    required before equating them.
000034 | 
000035 | 4. A direct test of the already available graph-Calderon formula rejects
000036 |    the naive single-face identification. For the given positive invertible
000037 |    M=M_lazy define
000038 | 
000039 |      C=M^2(I+M^2)^-1, X=M(I+M^2)^-1,
000040 |      P_M=[[I-C,X],[X,C]].
000041 | 
000042 |    P_M is an orthogonal rank-three projector on the doubled six-dimensional
000043 |    space. Its single-face compression has eigenvalues
000044 | 
000045 |      {1/2,4/13,1/10},
000046 | 
000047 |    all strictly between zero and one. It is not the rank-one Perron
000048 |    projector {1,0,0}. The other face is likewise full rank. The calculation
000049 |    uses the exact existing finite graph formula, not a newly fitted source.
000050 |    It excludes the proposed identification for this natural inclusion;
000051 |    it does not exclude a different source-derived invariant embedding.
000052 |    An arbitrary mixed embedding would simply add the missing choice.
000053 | 
000054 | The finite checker is check_calderon_perron_test.py and its result is
000055 | calderon-perron-results.json. All seven exact rational identities pass.
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000061 | 
000062 | Accepted second-round content: the A7 identity, the existing scoped polar
000063 | decomposition and all-even-time theorem, the need to retain both signs and
000064 | charges, and the explicit withdrawal of the previous false source-time
000065 | claims. The claimed final identification K=R_tau Delta remains a proposal.
000066 | The original bilocal-current test and the Hodge signed-graph test are
000067 | recorded separately; neither supplies the missing Petersen field operation.
000068 | 
000069 | No generic Stinespring bath, new time generator, or fitted projector has
000070 | been introduced to force a positive answer.