=150 2026-08-29 (CXLIII) (review wave 5 — two exploration probes graduate as v1002– v1003 plus three registrations: the DET16 finite-cluster hit, the two neutrino-texture structural nulls, the master scaling-limit theorem SEAM.MMST.TYPEIII.CHARGED.01, the gauge-stiffness step-scaling divergence, and the holomorphic-KMS document; suite [formula in source] , ledger [formula in source] : three new rows, existing contract rows updated, NO status-marker upgrades; Python-only / Wolfram mirror deferred as for v974–v1001). (1) v1002_ spin10_ mirror_ projector.py ( [formula in source] ): DET16 rank-one projector on the full [formula in source] cluster — [formula in source] , [formula in source] , defect [formula in source] ; [formula in source] hermitian idempotent [formula in source] , rank [formula in source] ; [formula in source] spectrum [formula in source] , gap exactly [formula in source] ; all [formula in source] [formula in source] Fock commutators [formula in source] ( [formula in source] ); parity commutator [formula in source] ; [formula in source] and [formula in source] singlets. Hopping stability on the [formula in source] -mode analogue: gap [formula in source] ( [formula in source] clusters) / [formula in source] ( [formula in source] clusters) at [formula in source] ; spectators untouched. NEW ledger row CHIRAL4D.MIRROR.DET16.01 Candidate \ (exact finite-cluster gapping; open: dynamical gauge fields, domain-wall geometry, [formula in source] D volume theorem). (2) the Casimir kill, permanent. Number-preserving Casimir projector uniqueness fails at every cluster size: one [formula in source] (none at [formula in source] ); [formula in source] half-filling multiplicity [formula in source] ; [formula in source] (exact Weyl alternation, [formula in source] ). Ledger note on CHIRAL4D.NOMIRROR.01: number-preserving Casimir projector route excluded; display stays . (3) v1003_ nu_ structural_ nulls.py ( [formula in source] ): charged-sector data [formula in source] , [formula in source] ; Schur-texture NULL — all [formula in source] preregistered [formula in source] fail, D4 reflection forces [formula in source] , hierarchy [formula in source] structurally unreachable from D4-even seam data, required [formula in source] matches none of [formula in source] comparators; orientation-doubling structure theorem — [formula in source] odd sector generically lifts the degeneracy (exact rational witness); scale NULL — [formula in source] fail, required cancellation [formula in source] not supplied, [formula in source] -branches isospectral. NEW ledger row FLAV.NU.TEXTURE.MECHANISM.01 : both nulls are binding constraints (mechanism must be D4-odd AND supply a [formula in source] even-odd cancellation; pure seam data excluded -typed). FLAV.NUSCALE.05/ .06 notes only; candidates unmoved. (4) registrations (no marker moves). NEW SEAM.MMST.TYPEIII.CHARGED.01 : ONE scaling-limit theorem [formula in source] strongly on the finite-energy core [formula in source] crossed-product continuity, from which [formula in source] , [formula in source] , type III [formula in source] , unique rotational KMS, unique CE, deck equidistribution and modular invariance follow as corollaries; children SEAM.SIMPLECURRENT.GENERATOR.01, SEAM.STATE.RPMIXING.01 continuum, ALPHA.QUILLEN.EXACT.01 rigidity, AX.P1.01 reading (listed on the parent, not back). Cited document articles/2026-08-29/holomorphic_kms_extension_en.tex ( [formula in source] pp): unconditional rotational-KMS uniqueness via KLM [formula in source] Longo–Tanimoto GIVEN the identification; P1 [formula in source] theorem-conditional on seam identification [formula in source] [formula in source] ; axiom typing UNCHANGED. GAUGE.DETLINE.FIXPOINT.01: mechanism executed at fixed volume (unique fixed point, contraction [formula in source] , exact [formula in source] and [formula in source] Dynkin ratio [formula in source] ) BUT the preregistered thermodynamic step-scaling [formula in source] is DIVERGENT ( [formula in source] oscillates [formula in source] , [formula in source] at [formula in source] ); typed hurdle: the [formula in source] D toy has no plaquette self-interaction, the real contract needs [formula in source] D; display stays . [formula in source] boundary note: unit choice closed; dimensionless hierarchies [formula in source] remain predictive obligations. Surfaces: tfpt_research_contracts (new sections MIRROR.DET16, TYPEIII.CHARGED, NU.TEXTURE.MECHANISM; DETLINE stiffness update; NOMIRROR Casimir kill); tfpt_4_frontier wave-5 paragraph; tfpt_2 (texture-mechanism note); introduction status card [formula in source] hierarchy sentence.
Research changelog · TFPT — Introduction and reading guide
Opening source excerpt. Formulas and the full argument remain in the original document.
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documents/changelog/sections/001-source.tex · lines 294 to 295
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
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