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=150 2026-08-30 (CXLV) (review wave 7 — four exploration strands graduate as v1006– v1009: the MMST lemma battery, the DET16 stability battery, the [formula in source] D master-object assembly scaffold, and the [formula in source] constrained minimizer; suite [formula in source] , ledger [formula in source] no new rows, existing contract rows updated, NO status-marker upgrades; Python-only / Wolfram mirror deferred as for v974–v1005). (1) v1006_ mmst_ lemma_ battery.py ( [formula in source] ): five lemmas in-house on SEAM.MMST.TYPEIII.CHARGED.01 \ — L3 crossed-product; UGF [formula in source] (measured plateau [formula in source] , max measured [formula in source] [formula in source] at [formula in source] ); TEL-a [formula in source] with exact isometries ( [formula in source] , measured envelope [formula in source] ); integer D5+A3 pairings; [formula in source] outerness in the limit [formula in source] finite-inner correction. Residual boxed: TEL-B-EXTERNAL (Hankel [formula in source] ; HS remainder sourced from the paper max [formula in source] / fit [formula in source] / v998 bound [formula in source] , not recomputed) [formula in source] ALG-EXH (two Buchholz–Verch estimates). Display stays . Cited articles/2026-08-30/mmst_charged_scaling_limit_en.tex ( [formula in source] pp) [formula in source] externalization_mmst_handoff_v2_en.html. (2) v1007_ det16_ stability_ battery.py ( [formula in source] ): T1/T2 proved (v1002); T3 Michalakis–Zwolak cited-verified (LTQO, [formula in source] , gap [formula in source] ). Counting line [formula in source] ; [formula in source] closing scan through [formula in source] ; dynamical [formula in source] uniquely gapped (full-probe min [formula in source] pinned; compressed suite). SW [formula in source] ; [formula in source] bounded. [formula in source] boxed (ordinary hopping not block-diagonal); BDL boxed (no volume-uniform gap remainder). CHIRAL4D.MIRROR.DET16.01 stays ; CHIRAL4D.NOMIRROR.01 unmoved. Cited articles/2026-08-30/det16_mirror_gap_theorem_en.tex. (3) v1008_ master_ assembly_ scaffold.py ( [formula in source] ): [formula in source] D master-object scaffold-coherent — combinatorial [formula in source] ; frozen-link [formula in source] , [formula in source] ; unique-contractive [formula in source] ; QWZ wall slope [formula in source] , DET gap [formula in source] through [formula in source] ; assembly [formula in source] [formula in source] , clock [formula in source] . [formula in source] spaces [formula in source] / [formula in source] out of suite. Decision QFT4D.LATTICE.FUNDAMENTAL.01 and GAUGE.DETLINE.FIXPOINT.01 \ unmoved. (4) v1009_ rho0_ minimizer.py ( [formula in source] ): finite uniqueness of the KMS compression (Klein); Hessian strictly positive; centre dim [formula in source] ; identity [formula in source] . TYPED: V1000_CONSEQUENCE_MISMATCH (compression kills the SK response vs frozen contrast [formula in source] ) [formula in source] CENTER_FLATNESS_PREMISE_FALSE. Canonical formula needs a weaker admissible set. FTRANSFER.SK.RHO0.01 stays . Surfaces: tfpt_research_contracts executed-update paragraphs; tfpt_4_frontier wave-7 paragraph; introduction status card; website papers.ts / VerificationDag.

Research changelog · TFPT — Introduction and reading guide

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