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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

Recovered September proof closes original A0* monodromy

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

Reused older analytic proof independently checked now. Closes ODE group identification incorrectly treated again as numerical-only. No new origin derivation selecting A0*, no complete field/state/time isomorphism. Physical gates remain open.

Read the exact result, assumptions and evidence

Result

The28Sept synthesis already contains analytic identification of unchanged v117 ODE: t=z⁴ and diag(1,z,z³) give three Fuchsian points of orders4,3,2; sole infinity resonance coefficient is exactly zero. Alternative frame diag(1,z,z^-1) gives semisimple exponents -1/2,0,-1/2 without resonance. Image is faithful S4 rotation representation; positive t0 meridian is U^-1. Marked pair is exactly v117 up to simultaneous basis change and remaining diagonal basis-sign convention. Diagonal0,-i/2,+i/2 follows analytically. Original four meridians have A4 image; U extends to S4. No new ODE fit needed.

Required assumptions

  • Original P2 order-three cusp class and stable bundle anchor

    Target the original P2 Deligne class with cusp weights0,1/3,2/3 and holomorphic anchor O(-2)+O(-1)^2. Exact v117 M0_EXACT has polynomiallambda³−1,trace0,order3;its joint representation with U is irreducible. Keep these exact matrix properties distinct from the numerical ODE identification there. Test whether the natural scalar/spin pushforward of existing C2 realizes this actual connection;physical selection of the direct sum as flavor module is not presumed.

  • 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

  • C4-TRIANGLE-INDEPENDENT-REVIEW.txt lines 1–180

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/C4-TRIANGLE-INDEPENDENT-REVIEW.txt

    b589f7d063cc2e7a48549bd5c4d4895f99ab4a103449eae29b28b3dae2fe323f

  • C4-TRIANGLE-INDEPENDENT-REVIEW.txt lines 181–360

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/C4-TRIANGLE-INDEPENDENT-REVIEW.txt

    b589f7d063cc2e7a48549bd5c4d4895f99ab4a103449eae29b28b3dae2fe323f

  • C4-TRIANGLE-INDEPENDENT-REVIEW.txt lines 361–411

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/C4-TRIANGLE-INDEPENDENT-REVIEW.txt

    b589f7d063cc2e7a48549bd5c4d4895f99ab4a103449eae29b28b3dae2fe323f

  • C4-DESCENT-FINITE-MONODROMY.txt lines 1–180

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/C4-DESCENT-FINITE-MONODROMY.txt

    b707e2d720a6dad3a74115b62f16d76077dfda3fe0d3eb8f0f8f76edaf5d7bd5

  • C4-DESCENT-FINITE-MONODROMY.txt lines 181–276

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/C4-DESCENT-FINITE-MONODROMY.txt

    b707e2d720a6dad3a74115b62f16d76077dfda3fe0d3eb8f0f8f76edaf5d7bd5

  • check_c4_triangle_source.py lines 1–180

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/check_c4_triangle_source.py

    edc60a3c3c556f7a0079eaec11858075e251998e8ad853a79ae956bb9c415375

  • check_c4_triangle_source.py lines 181–245

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/check_c4_triangle_source.py

    edc60a3c3c556f7a0079eaec11858075e251998e8ad853a79ae956bb9c415375

  • c4-triangle-results.json lines 1–42

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/c4-triangle-results.json

    612c2c4096eb153173a2d608d973abdf0e04749a1363843190299e164e1241be

  • 004-subsection-auch-die-skalen-besitzen-einen-gemeinsamen-va.tex lines 203–286

    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

finding:recovered-september-c4-triangle-closes-original-a0star-monodromy