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Scoped exclusion

All common leading-distance clutches fail original flavor lengths

In the question: Automated construction of operator maps and sources

Only shared leading distances with the stated equal weighting. Different q/p spectra, unequal weights, full mode sums and actual sector-dependent original C6 residue packets with additional length-six windings remain outside the exclusion. Frobenius exponents are not a boundary clutch without an actual operator dictionary.

Read the exact result, assumptions and evidence

Result

Original diagonal TOTAL lengths Lu=(7,3,0),Ld=(7,5,2),Le=(8,5,3) have sorted gap ratios3/4,3/2,2/3; separate numeric left/right lists are not supplied. A common single-leg list requires one ratio. For equal-weight same-list two-leg readers, normalize x=(0,1,t): all six relative S3 permutations are degenerate or give only t-1 and its reciprocal. No arbitrary real triple reproduces all three original rows. Entire class is analytically decided.

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.

  • Common leading triple distances with equal two-leg weights

    Restricted candidate class only: arbitrary shared real triple x, sector positive scales/offsets and permutations, single leg or equal-weight same-list two legs. Not a P1 axiom. Different lists/weights, full sums and extra operator histories lie outside.

Original evidence

  • CLAUDE39-COMMON-CLUTCH-CLASS-ADDENDUM.txt lines 1–131

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE39-COMMON-CLUTCH-CLASS-ADDENDUM.txt

    a4c940f1116bb8b3dcef63c3732719be8d44620a75e6fea5ed853738fb533f93

  • CLAUDE39-FN-DISTANCE-ORIGINAL-REVIEW.txt lines 1–139

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE39-FN-DISTANCE-ORIGINAL-REVIEW.txt

    e7c11617456a0e418394a42e53f9ed35584b421e7153e7cc85bb6d9c46189760

finding:all-common-leading-distance-clutches-fail-original-flavor-lengths

Visual introductionWorked derivationsOriginal claim ledger
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This snapshot contains 706 reviewed scientific findings and 562 historical attempts. They are different inventories. Source availability and pin freshness remain attached to each original record.

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