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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

Existing spin quadratics reach the original hexagonal Hodge line

In the question: Automated construction of operator maps and sources

This proves a geometric contraction, not its physical insertion into the original generating functional. Retain the explicitly open seam determinant unification contract. It excludes no unrelated Pfaffian line and derives no physical CP or time.

Read the exact result, assumptions and evidence

Result

The given elliptic quotient supplies Phex=(I+j*)/2. Existing spin quadratics explicitly reach dw/eta, including the projected odd-spin square. The geometric endomorphism Phex R* Phex has scalar trace rho without choosing an evaluation vector. Full Hodge determinant has character minus one and Q exchanges the two Hodge lines.

Required assumptions

  • Recovered genus2 cover with retained coefficients

    Retain exactly the older three-sheet cover C:w³=(z²-1)/(z²+1), eta=z(1-w³), eta²=1-w⁶, six Weierstrass points p_a=omega^a,q_a=-omega^a, given z base and clock markings. Seek actual flat coefficient lines for existing v117 monodromy, not mere permutation equivalence or an assumed field intertwiner.

  • Unchanged A0* Fuchsian equation and actual C4 clock

    Fix exactly v115 A0*, U=diag(1,i,-i), residues U^k A0* U^-k at i^k and regular base point z=0. Retain base rotation, positive meridian on t=z⁴ and simultaneous fiber basis change. No new Riemann Hilbert solution or D4 reflection lift is assumed.

  • 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 evidence

  • ORIGINAL-HODGE-LINE-SOURCE-CONTRACTION-REVIEW.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-HODGE-LINE-SOURCE-CONTRACTION-REVIEW.txt

    f176753b19a319ceb0fa52edbdb520287bc209c70f14118093e50e4e137052c6

  • ORIGINAL-HODGE-LINE-SOURCE-CONTRACTION-REVIEW.txt lines 201–210

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-HODGE-LINE-SOURCE-CONTRACTION-REVIEW.txt

    f176753b19a319ceb0fa52edbdb520287bc209c70f14118093e50e4e137052c6

  • ROOT-MIXED-SPIN-U6-CHECK.json lines 1–36

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-MIXED-SPIN-U6-CHECK.json

    156118586394327730bf248cd6dbece42e7af4eec8ff0b1fa82a4f45d2510f36

finding:actual-spin-quadratics-reach-original-hexagonal-hodge-line