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Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Established in scope

Oriented resolvent weights do not identify the original producer

In the question: Automated construction of operator maps and sources

The reflection failure excludes the candidate only where R stability is actually required. No general exclusion of oriented weights, no missing inverse C6 leg and no original-selector claim; preserve positive Gram/Green/Kstr kernels and P_adm.

Read the exact result, assumptions and evidence

Result

The resolvent coefficients are correct, but the additional diagonal-weight construction fails abstract word-reversal invariance, with an exact rational diagonal difference2600/3969. QFT2 does not identify that reversal with OS Theta or Q_Theta; only Q_Theta=R forces the even projector and word pairing. Symmetry does not refute Perron primitivity. These coefficients alone do not derive the actual retained-basis action and original weight call.

Required assumptions

  • Do not identify source types

    Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.

  • Original admissibility and graded-source interfaces

    v42 defines P_adm through primitive seam/Cauchy,gap,color and determinant conditions; v31 closure assumes an RP CAR kernel without identifying it with the old circle. v42 exp(W_k[J]) is a formal parent integral; spectral action, positive geometric marginal and full graded source are not equated. The separate eta term of the master functional is retained. Seek an original local image, not global Hilbert equivalence.

Original evidence

  • CLAUDE50-WORD-WEIGHT-REFLECTION-INDEPENDENT-REVIEW.txt lines 1–164

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE50-WORD-WEIGHT-REFLECTION-INDEPENDENT-REVIEW.txt

    e617628274c44036135b5b84cf493e2770a87e0ba244140e69531f7f1047786f

  • ROOT-DIRECT-ACTION-AND-BOUND-SCALE-REVIEW.txt lines 109–119

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-DIRECT-ACTION-AND-BOUND-SCALE-REVIEW.txt

    b87da1f3fea8126b78698e8c992ac70d50591e4794bcc3a8ba8406434ed3203a

finding:oriented-resolvent-weights-do-not-identify-original-reflection-producer