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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

Originals link seam function and three-cover; naive H1 point restriction fails

In the question: Common clock sectors, quartic geometry and operational reconstruction

Source claim limited to read passages, not universal absence. H1 exclusion concerns ordinary first-order operators on smooth closed real two-dimensional curves, not Hardy spaces or additional singular domains.

Read the exact result, assumptions and evidence

Result

Targeted fullv21,v31/v42,TFPT45 and September originals supply scalar seam winding, periodic reference and actual three-cover. They do not establish the physical relative spin/scalar Hardy operator pair. Algebraic E(-Dq)→E→E|Dq is not a point-restricted closure of the unchanged H1 Dirac domain: logarithmic cutoffs have energy 2pi/log(1/epsilon)→0, so closure is full domain. The proved Hardy quotient avoids this confusion.

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

  • INVERSE-Q-POINT-NORM-ORIGIN.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/boundary_origin_20261027/originals/INVERSE-Q-POINT-NORM-ORIGIN.txt

    c103dc7409e036b48cb3824b19aa0c3b510c7d2c06966e06e742403159e408c7

  • INVERSE-Q-POINT-NORM-ORIGIN.txt lines 201–400

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/boundary_origin_20261027/originals/INVERSE-Q-POINT-NORM-ORIGIN.txt

    c103dc7409e036b48cb3824b19aa0c3b510c7d2c06966e06e742403159e408c7

  • INVERSE-Q-POINT-NORM-ORIGIN.txt lines 401–510

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/boundary_origin_20261027/originals/INVERSE-Q-POINT-NORM-ORIGIN.txt

    c103dc7409e036b48cb3824b19aa0c3b510c7d2c06966e06e742403159e408c7

finding:original-boundary-audit-and-h1-point-restriction-limit