The modular spectral closure assembly

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• Research contracts
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• Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
• 2026-06-17 (The Modular Spectral Closure: Dirac as covariance induction, the modular cutoff, the Kummer/K3 unification, and the assembly certificate, v258– v261)Research changelog; TFPT — Introduction and reading guide

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• The closure ledger: what is done, and what genuinely remainsTFPT — Introduction and reading guide
• Honest statusinput 4 origin theory
• The ambient closure: one spectral-action measure, IR-complete by decouplingtfpt 2 standard model
• Research Contract 1 — [formula in source]tfpt research contracts
• Honest statusorigin theory
• What this means for the theory-of-everything questionTFPT — Introduction and reading guide
• -1.2cm TFPT — Research Contracts for the Remaining Interfaces:\\v_ geo [formula in source] G_ net [formula in source] F_ transfer [formula in source] (U_ wall) [formula in source] (G_ metric) [formula in source] [formula in source] / _1/ _2/ _3 [formula in source] next)tfpt research contracts
• 2026-06-18 (Paper consistency pass: the closure ledger and the status/QFT sections updated for the Modular Spectral Closure, with an explicit ``what is not closed'' line)Research changelog; TFPT — Introduction and reading guide

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• v261_modular_spectral_closure.pyRegistered verification module · registry
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  QFT.MSC.01 — the MODULAR SPECTRAL CLOSURE: the assembly/reduction certificate turning the whole QFT layer (v238-v260) into ONE relative object TFPT_QFT=(A_Sigma,omega_Sigma,Delta_Sigma,rho,A_F,H_F,D_F,J,gamma,S_rel) reduced to ONE open premise (like v176/v234, an assembly cert, not new physics). [E] one index=marks=fixed points=glue order: Jones [B:A]=4 (v89) = |mu4|=4 (v92) = seam marks 2chi=4 (v216) = pillowcase/Kummer fixed points |(Z/2)^2|=4 (v260); [E] one carrier-16: dim S+=Lambda^even(C^5)=Kummer nodes 2^4=16, H_F=2 N_fam 16=96; [E] one gap Delta=-log((2/3)^6)=6log(3/2)>0 = OS mass gap (v240)=recovery rate (v221)=Lindblad gap (v238); [E] the three closures re-derived (Kasparov log((1-C)C^-1)=H v258, KMS cutoff f2/f0=1 v259, K3 lattice signature (3,19)/det-1/even v260); [E] relative-object manifest (10/10 component scripts present); [O] the single residual: the whole QFT layer reduces to QGEO.SYM.01 (seam realisation), ambient QG QG.AMB.01 separate; [C] master statement (Modular Spectral Universality) modulo QGEO.SYM.01 -- the honest sense in which the QFT layer is complete.

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