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The published foundations of TFPT

Read the original registered statements beside their paper sections, assumptions and verification sources. The later reviewed research stays connected through a separate record.

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=150 2026-08-29 (CXLII) (review wave 4 — four exploration probes graduate as v998– v1001 plus the lattice-fundamental quasilocal-family amendment, the [formula in source] closed-metrology retype, the ALPHA.QUILLEN relative-determinant note, and the master contract TFPT.TOE.COMPLETE.01; suite [formula in source] , ledger [formula in source] : two new rows, existing contract rows updated, NO status-marker upgrades; Python-only / Wolfram mirror deferred as for v974–v997). (1) v998_ seam_ modular_ closure.py ( [formula in source] ): two-edge HS remainder bounded by [formula in source] on the frozen plateau [formula in source] ; lattice character [formula in source] EXACT four orders [formula in source] ; [formula in source] as Eisenstein series, [formula in source] -expansion match to [formula in source] orders exact (Jacobi identity; the reviewer's C7 sharpening); [formula in source] numeric transform at [formula in source] digits with [formula in source] -weight bookkeeping. Ledger notes on SEAM.EQUIV.MMST.01 and SEAM.SIMPLECURRENT.GENERATOR.01: C7 arithmetic shadow now exact; net-level C7 stays cited/open. (2) v999_ weak_ collision_ hp.py ( [formula in source] ): the continuous-time dilation leg — generator extraction Richardson [formula in source] ; [formula in source] symbolic; [formula in source] exact; GNS splitting defect [formula in source] ; locality [formula in source] ; strong-collision singularity contrast rank [formula in source] . DYN.UNITARY.DILATION.01: the finite ladder is now COMPLETE (discrete/kernel/field-free/interacting-classical/quantum-coupled/continuous-time); open [formula in source] the thermodynamic field limit only; contract stays . (3) v1000_ spin2_ sk_ witnesses.py ( [formula in source] ): lattice graviton — positivity exact, [formula in source] TT helicities at all [formula in source] momenta ( [formula in source] ), [formula in source] exact; SK — KMS/FDT [formula in source] , [formula in source] -dependence contrast [formula in source] vs static [formula in source] , saddle [formula in source] -fold degenerate with [formula in source] unique in the [formula in source] lift . GRAV.SPIN2.EMERGENCE.01 quadratic Hamiltonian half executed; FTRANSFER.SK.RHO0.01 mechanism executed; both contracts stay . (4) v1001_ nu_ pentagon_ chain.py ( [formula in source] ): [formula in source] inventory theorem; misalignment [formula in source] ; pentagon double hit [formula in source] frozen, all three measured angles [formula in source] (honest max pull [formula in source] ) at [formula in source] , unique LEE survivor [formula in source] ; v3 chain SHA-16 a4c28732fa687620 with [formula in source] eV, [formula in source] meV, [formula in source] meV, [formula in source] ; v270– [formula in source] tension [formula in source] TYPED; census null [formula in source] . NEW ledger row FLAV.NUSCALE.06 Candidate \ (pentagon-class misalignment; mechanism [formula in source] the [formula in source] -to-flavor operator ; kills DESI/DUNE [formula in source] vs [formula in source] /JUNO). NO seesaw closure; FLAV.NUSCALE.05 unmoved. (5) Amendments (typed; no marker moves). QFT4D.LATTICE.FUNDAMENTAL.01: a single finite box is not a world — the fundamental object is the quasilocal consistent family [formula in source] with [formula in source] ; continuum ( [formula in source] ) optional, thermodynamic limit and controlled IR universality mandatory (dated 2026-08-29). ANCHOR.VGEO.01/ .02: display retyped from open-physics/primitive phrasing to CLOSED METROLOGY STRUCTURE ( [formula in source] unit torsor; one dimensionful calibration necessary by dimensional analysis — No-Unit v153/ v725); display stays , no physical . ALPHA.QUILLEN.EXACT.01: the correct object is the relative determinant [formula in source] ; BFK [formula in source] is [formula in source] -independent at fixed cut number so [formula in source] — no physical compensation (consistent with COMPENSATION_INTERNAL). NEW master contract TFPT.TOE.COMPLETE.01 : eight gates T1–T8 with the binding separation [formula in source] vs [formula in source] AND independent holdouts; every existing [formula in source] D/dilation/detline/SK/flavor/gravity contract is a child of one gate. Surfaces: tfpt_research_contracts (executed-update paragraphs at MMST/SIMPLECURRENT, DILATION, GRAV.SPIN2, SK.RHO0; new sections TOE.COMPLETE and NUSCALE.06; lattice-fundamental amendment; ALPHA relative-det note); tfpt_4_frontier [formula in source] introduction status card / [formula in source] row; tfpt_2 (NUSCALE.06 candidate paragraph).

TFPT — Introduction and reading guide

Original identifier and classification

ANCHOR.VGEO.01Identity [I] (ratios) + [A]/[O] (closed metrology: R_+ unit torsor; one calibration by dimensional analysis)

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Horizon readouts

Horizon readouts

Original identifier and classification

HOR.CLOCK.11Identity [I] (exact arithmetic vs external values) + Physical [P] (typing decision) + External (VW hep-th/0003081; arXiv:2506.02142)

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Research contracts

Research contracts

Original identifier and classification

GATE.METRIC.18Identity [I] (gap forced by mu4-equivariance + spec(A0*); fixed = rank-8 Calderon) + [P]/[A] (A) factors into the already-open A2 (net existence) + R1 (seam clock)

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Research contracts

Research contracts

Original identifier and classification

GATE.METRIC.19Identity/assembly [C] (A2 net existence by established AQFT; R1 reduced to GATE.QGEO via A0* uniqueness) + [O] (the irreducible {pi,v_geo} geometric core, a theorem by v153)

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