TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/seam-source-character-search-20261015/source_reconstruction/PROOF.txt
Original file SHA-256: 424e2f8eaf021cae575e479ccca4fcd2b8a34df1e5d5410371a86144f07ddb5d
Inclusive original lines: 20-49
Line numbers below refer to the original source.
This bounded excerpt is source evidence; it is not a new proof/checker run.
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000020 | 2. Original-source inference audit
000021 | 
000022 | tfpt_1_architecture_e8.tex:163-188 declares P1 as an oriented primitive
000023 | reflection-positive kernel, unit winding and c3=1/(8pi); P2 supplies a
000024 | five-slot 3+2 carrier interface. It does not specify the seam representative
000025 | on a charged Hilbert space or the kernel's complete correlation functions.
000026 | 
000027 | _archive/tfpt-45/source_extracts/01_boundary_kernel_source.tex:
000028 | 65-80: B_Sigma is already part of the one-sided datum and D_+ has product
000029 | form gamma_n(partial_n+B_Sigma). 94-170 constructs the double and Calderon
000030 | projection from that supplied boundary problem.
000031 | 480-520: the operational seed already contains A_loc, tau_t, Theta, omega,
000032 | [u_Sigma], D_coll. Its completion reconstructs B from D_coll, not from
000033 | the integer winding alone. In particular state and time are inputs here.
000034 | 543-560: the proposed selector has four integer defect coordinates.
000035 | 571-594: invariance preserves the set of minimizers; the proof explicitly
000036 | reduces uniqueness to a separate classification of the minimized stratum.
000037 | 646-683: uniqueness is then asserted without that classification. A least
000038 | value in N^4 does not imply a single operator tuple in its fiber. Nor does
000039 | nonzero spectral flow by itself ensure that value one is attained. P1 may
000040 | stipulate unit winding, but that is a separate premise from nontriviality.
000041 | 
000042 | This is a failure of the displayed uniqueness argument, not a proof that
000043 | no stronger source-selection theorem is possible. The present note does
000044 | not silently replace the original category with a new one or promote this
000045 | audit to a no-go for all TFPT sources.
000046 | 
000047 | experiments/lean4-carrier-rigidity/TfptCarrier/SeamWindingInterface.lean:33-44
000048 | explicitly formalizes SeamWindingData -> determinant carrier, not the
000049 | physical seam class -> SeamWindingData. It cannot fill the operator step.