A registered result in its source context
Original ledger classification: Structural [E] torsor audit (export table, rank 1, lambda-homogeneity, leave-one-anchor-out 0.11%) with conditionalities named; closure in calibration form, NO scale derivation (Python-only per GATE.WOLFRAM.02).
Recorded statement: T1 CLOSURE -- the calibration/scale-torsor audit of the v_geo interface (one module, 21 checks, ~1 s; discovery probe phys_vgeo_torsor_audit_probe.py 21/21, verdict TORSOR-SCHLIESSUNG PASS). THE STRUCTURE THEOREM (machine-audited on the…
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Paper context: Research contracts
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VGEO.TORSOR.01
Original ledger classification: Structural [E] torsor audit (export table, rank 1, lambda-homogeneity, leave-one-anchor-out 0.11%) with conditionalities named; closure in calibration form, NO scale derivation (Python-only per GATE.WOLFRAM.02).
Original claim text
T1 CLOSURE -- the calibration/scale-torsor audit of the v_geo interface (one module, 21 checks, ~1 s; discovery probe phys_vgeo_torsor_audit_probe.py 21/21, verdict TORSOR-SCHLIESSUNG PASS). THE STRUCTURE THEOREM (machine-audited on the corpus, sources read-only: v153/v152/v274/v401/v364/v75/v68/v60/v20/v272/v3/rt_E/v714): the v_geo interface is a well-defined R+ SCALE TORSOR -- (1) the corpus exports ALL dimensional quantities as O_i = r_i * v_geo^{d_i} with machine-derived dimensionless r_i (complete export table: Mbar, 1/G, Lambda, U_point, m/mu at d = 1, 2, 4, 1, 0); (2) the dimension matrix has RANK 1 -- exactly ONE independent scale (conditional [A] on the flavor block via the declared seam=Planck identification v68 + the rt_E EW-matching flag, NAMED not hidden); (3) ALL consistency conditions are homogeneous under L -> lambda L -- no internal absolute anchor (the machine form of the No-Unit theorem v153); (4) leave-one-anchor-out cross-calibrations compatible (gravitation G vs cosmology rho_Lambda: the same Mbar to 0.11%, v274, conditional on the Lambda branch [C]; flavor fiber exact); (5) the CALIBRATION THEOREM stated in torsor language: one external reference selects the point in the torsor, everything else is prediction. FENCE: a STRUCTURE closure of the interface -- NO absolute-scale derivation (impossible per No-Unit; that is the theorem, not the defect). THE MOONSHOT NAMED (not executed): H_EW = ln(Mbar/v_EW) = 37.1776 -- the ONE remaining dimensionless scale ratio whose derivation No-Unit permits (a success would turn the flavor-block [A] identification into a derivation); naive c3/phi0 ladders honestly excluded (11.53 / 12.67, not integer; v184 firewall respected). Status moves only as evidenced: the interface contract closes in CALIBRATION FORM; the No-Unit typing of v_geo is unchanged.
Original classification detail
TORSOR CLOSURE PASS: the v_geo interface is structurally closed as an R+ scale torsor (export table complete, dimension matrix rank 1, all conditions lambda-homogeneous, two-anchor consistency 0.11%); calibration theorem stated; FENCE: no scale derivation (No-Unit); moonshot named: H_EW = 37.1776.
Dependencies as recorded
ANCHOR.VGEO.01; ANCHOR.VGEO.02; VGEO.SHARPEN.01; SCALE.OVERDET.01; METROLOGY.CLOSURE.01; FIRSTPRINCIPLES.BOUNDARY.01
Open the original ledger source, row 670Location recorded in the ledger
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- Standard Model and flavor structure
- E8 audit and bootstrap
- Research contracts
Sections that explicitly cite this claim
A literal claim identifier is present in these paper sections. The section and its premises determine what the citation supports.
- Research Contract — CCC.SEAM.CROSSOVER.01 (the conformal-cyclic crossover on the seam geometry)tfpt research contracts
- Front matter / supportResearch contracts
- Research Contract — CCC.SEAM.CROSSOVER.01 (the conformal-cyclic crossover on the seam geometry)Research contracts
- Group-theoretic audits (optional)input 5 tfpt 3 e8 audit bootstrap
- Research Contract 2 — [formula in source]tfpt research contracts
- Group-theoretic audits (optional)input 5 tfpt 3 e8 audit bootstrap
- Front matter / supportE8 audit and bootstrap
- Research Contract 2 — [formula in source]tfpt research contracts
Navigation through a shared verification script
These sections cite a script associated with the claim. This is a source navigation join, rather than an explicit citation of the claim or a theorem equivalence.
- Research Programme — the TFPT4D master route (one 4D transfer object instead of twenty formulas)tfpt research contracts
- Proton/electron ratio [formula in source] — a cross-sector ratioFrontier and open physical interfaces
- Research Programme — the TFPT4D master route (one 4D transfer object instead of twenty formulas)tfpt research contracts
- Neutrinostfpt 2 standard model
- NeutrinosStandard Model and flavor structure
- The hard reduction: the live residual as typed interfacesTFPT — Introduction and reading guide
- =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).Research changelog; TFPT — Introduction and reading guide
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
Registered verification modules
- v725_phys_vgeo_torsor_audit.pyRegistered verification module · core
Read the description recorded in the module registry
VGEO.TORSOR.01: T1-SCHLUSS — der Kalibrations-/Skalen-Torsor-Audit der v_geo-Schnittstelle — **TORSOR-SCHLIESSUNG: die v_geo-Schnittstelle ist als R₊-Skalen-Torsor STRUKTURELL GESCHLOSSEN — (1) vollständige Export-Tabelle O_i = r_i·v_geo^{d_i}, (2) Dimensionsmatrix Rang 1 (konditional [A] auf dem Flavor-Block, benannt), (3) alle Konsistenz-Bedingungen λ-homogen (Maschinenform des No-Unit-Satzes v153), (4) Zwei-Anker leave-one-out kompatibel (G vs ρ_Λ: 0.11%), (5) Kalibrations-Satz in Torsor-Sprache formuliert**; FENCE: Struktur-Schließung, KEINE Skalen-Ableitung (per No-Unit unmöglich); Moonshot BENANNT, nicht ausgeführt: H_EW = ln(M̄/v_EW) = 37.1776 (21 Checks, ~1 s)
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