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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

Original v117 equation has a full explicit algebraic fundamental frame

In the question: Automated construction of operator maps and sources

Full algebraic frame for given v117 connection on original Yq;actual spin-line origin separately derived. RR justifies finite two-coefficient search,no numerical fit. Initial negative was corrected solver restriction:constants belong toQ(ω),d=ωc;not old-source counterevidence. Meromorphic functions are not flat fiber values. Makes old group-averaged positive coefficient metric explicit,not a CAR state. Three columns are coefficient directions,not physical generation derivation. Does not derive A0 itself from P1 or full96 field/Phi/Γ± domains/state/reflection/physical time. No exhaustive historical novelty claim. Original ledger/proof statuses unchanged. Trace/domain result explicitly uses analytic original inner z disk and its existing NS continuation. This is an input condition,not new physical BΣ selection. Image is C3-equivariant pullback subspace,not arbitrary rank9 space.

Read the exact result, assumptions and evidence

Result

For unchanged plus-sign equation Ψ'=A(z)Ψ with original A0 and U=diag(1,i,−i),an algebraic3×3 G is constructed on actual negative q Kummer cover. A column is g=(h0 p1/(ab),h0 z p2/b,h0 z p3),a=2√2/3,b=√5/3,with explicit rational p1,p2,p3 overw inQ(ω). Its two c images give detG=−27√2(2ω+1)(z4−1)/10. Ψ=G Gbase^-1 has Ψ(0)=I,detΨ=1−z4. All three original equations independently checked by exact direct substitution. V4 acts on right bydiag(ε0,ε2,ε1),c by3cycle. Actual calibrated Kummer Qh=(ω/h2,−ω/h1,−ω/h0) gives entrywise checked G(Qy)=UG(y)KQ,KQ=[[0,1,0],[-1,0,0],[0,0,1]],hence Ψ(Qy)=UΨ(y)U^-1. This is an explicit differential gauge,not only monodromy or point counting. Positive flat coefficient metric is G^-daggerG^-1. Independent metric calculation gives Gbase Gbase†=diag(27/10,9√3/5,3√3). Canonical spin yields explicit weighted trace Wψ=3^-1/2√π' G^-1ψ∘π. With given inner NS continuation,B_H=−i(∂θ−izA)=G(−i∂θ)G^-1 onD_H=G H1_NS inL2_H is closed selfadjoint;no new extension between four marks.

Required assumptions

  • 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.

  • 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.

  • 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-FUCHS-ALGEBRAIC-FRAME.txt lines 1–174

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-FUCHS-ALGEBRAIC-FRAME.txt

    3a57907902631b58e0abee61e9a424c3ac03ff7a8fa074cc4d27e3379b406cf3

  • ROOT-FUCHS-FRAME-CHECK.json lines 1–12

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-FUCHS-FRAME-CHECK.json

    69c4a69420bb9088a00c3eb3b491976df5d1107b46268d3a19d568a02010ff48

  • root_verify_fuchs_frame.py lines 1–48

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/root_verify_fuchs_frame.py

    540e727b364c984f6e2755799af8f9344466362148ba0ad27ccf01a5a971b9bd

  • check_fuchs_algebraic_frame.py lines 1–83

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_fuchs_algebraic_frame.py

    cbf63e92f2cce6d051702158da23d47086c43bc9c760862ec3a1ff23b6a58664

  • 004-subsection-auch-die-skalen-besitzen-einen-gemeinsamen-va.tex lines 203–340

    Source checked at this snapshot

    Original location and fingerprint

    documents/tfpt_explorer--docs--session-2026-09-28--TFPT_Gesamtsynthese_2026-09-28/sections/004-subsection-auch-die-skalen-besitzen-einen-gemeinsamen-va.tex

    574058876ebe23d693a9fce061f68da6fdec63419af78243ac9d457d7858f74b

  • FUCHS-FRAME-INDEPENDENT-TRACE-REVIEW.txt lines 1–105

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/FUCHS-FRAME-INDEPENDENT-TRACE-REVIEW.txt

    b6014bc7ff48a743dd62768e66e307b33e552b95829afeb06355cd5381c690a1

finding:original-v117-has-explicit-algebraic-q-cover-fundamental-frame