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Publication history: 2026-09-05

Original publication entries retain their wording and recorded status. Follow the current research history for later findings and revisions.

9 / 56 days

5 Sep 2026

3 updates
  1. Compiler core
    (CLIX): non-RH round 7 — free quantum curvature, charged twists and interaction boundaries
  2. Compiler core
    (CLVIII): non-RH round 4 — uniform TEL-B norm and explicit T1–T8 boundaries
  3. Compiler coreCLVII
    (Non-RH T1–T8 Round 3 graduates as v1022–v1025; suite 1014\to1018, ledger rows 1178\to1184 through six narrow subcontracts; 156/156 module checks; NO marker move; TFPT.TOE.COMPLETE.01 and every T1–T8 gate remain [O]). v1022_ telb_ round3_ certificates.py (83/83; native python-flint==0.9.0, 256-bit Arb/Acb) replaces the float/Richardson TEL-B input by 5812 rational cells and the exact cut jump, proving \operatorname{TV}_p(F'')\le15.817695962988924\ldots<15.928674 and K_3^{\rm TV}<2.517464500835. Together with the stated analytic digamma/midpoint lemmas, its executable Arb arithmetic gives c_\varepsilon=0.288547359238391\ldots, c_\zeta=0.110677064900715\ldots and c_{\rm potential}=0.399224424139106\ldots<0.400; full C2b remains open exactly at CF \le0.139/\sqrt N and DG \le0.060/\sqrt N. Its exact one-mode M_2 countermodel refutes the former ALG2 Vandermonde-to-generated-algebra implication
    FE-GEN or an exact gauge/code-projected microscopic-algebra theorem is still required, and ALG1 remains conditional on the generated projection. v1025_ telb_ c1_ c2a_ certificates.py (8/8; native 100-bit Arb/Acb) executes the existing analytic C1/C2a proofs: C_\star\le0.1520453048\ldots<0.1525 and N\sup_k|\phi_N(k)|\le0.508228779140631\ldots<0.509 for every even N\ge16. v1023_ derivative_ filtered_ wall.py (16/16) proves only the finite quasi-free singular-value block: the high continuation branch is separated, but the bare b subspace is not invariant, the low branch has z=2 rather than a Weyl cone, and no DET16/DET32, interacting-parent, measure/anomaly/index or 3{+}1D theorem follows. v1024_ parent_ internal_ boundaries.py (49/49) supplies finite parent-internal T6–T8 witnesses and no-gos: a positive seam/neutrino-pair intertwiner with projective full-Fock D_4 lift but no mass texture; the uniform-gap and direct-TT locality obstructions but no graviton; and a gapped internal Z_5 cap that is chosen, D_4-breaking and complement-trivial, hence no global \rho_0. T1 retains only finite axiom-core/W-bridge support while unconditional provenance and the dimension selector remain open; T3 remains at Hamiltonian-class level; T5 retains finite IR witnesses and the v1020 spectator obstruction while prime completion, OS reconstruction, confinement and scattering remain open. The common missing object is still one shared 3{+}1D parent satisfying T3–T8. Native-only handling is explicit in the website reproducer; v1022/v1025 are not represented as Pyodide certificates. NO RH CLAIM. Surfaces: tfpt_research_contracts, tfpt_4_frontier, introduction, tfpt_2_standard_model, the MMST article/PDF, ledger, generated verification maps/index, website paper/DAG/gap/FAQ mirrors and changelog.

    Summary

    FE-GEN or an exact gauge/code-projected microscopic-algebra theorem is still required, and ALG1 remains conditional on the generated projection. v1025_ telb_ c1_ c2a_ certificates.py (8/8; native 100-bit Arb/Acb) executes the existing analytic C1/C2a proofs: C_\star\le0.1520453048\ldots<0.1525 and N\sup_k|\phi_N(k)|\le0.508228779140631\ldots<0.509 for every even N\ge16. v1023_ derivative_ filtered_ wall.py (16/16) proves only the finite quasi-free singular-value block: the high continuation branch is separated, but the bare b subspace is not invariant, the low branch has z=2 rather than a Weyl cone, and no DET16/DET32, interacting-parent, measure/anomaly/index or 3{+}1D theorem follows. v1024_ parent_ internal_ boundaries.py (49/49) supplies finite parent-internal T6–T8 witnesses and no-gos: a positive seam/neutrino-pair intertwiner with projective full-Fock D_4 lift but no mass texture; the uniform-gap and direct-TT locality obstructions but no graviton; and a gapped internal Z_5 cap that is chosen, D_4-breaking and complement-trivial, hence no global \rho_0. T1 retains only finite axiom-core/W-bridge support while unconditional provenance and the dimension selector remain open; T3 remains at Hamiltonian-class level; T5 retains finite IR witnesses and the v1020 spectator obstruction while prime completion, OS reconstruction, confinement and scattering remain open. The common missing object is still one shared 3{+}1D parent satisfying T3–T8. Native-only handling is explicit in the website reproducer; v1022/v1025 are not represented as Pyodide certificates. NO RH CLAIM. Surfaces: tfpt_research_contracts, tfpt_4_frontier, introduction, tfpt_2_standard_model, the MMST article/PDF, ledger, generated verification maps/index, website paper/DAG/gap/FAQ mirrors and changelog.