A registered result in its source context
Original ledger classification: Identity [I] (decoupling, cond. on norm bound) + [P]/[A] (boundary G6)
Recorded statement: Gate 2 attack - two clean tiers (was: diffuse 'full QG missing'). TIER A (physics, CLOSED under RP+gap): Decoupling Theorem - Delta_eff=Delta-2||V||=6log(3/2)-31/(4pi^2)=1.648>0 with ||V_metric||_rel<=248 c3^2=dim(E8) c3^2=31/(8pi^2)…
Statement, assumptions and sources
Paper context: Origin Theory
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GATE.METRIC.02
Original ledger classification: Identity [I] (decoupling, cond. on norm bound) + [P]/[A] (boundary G6)
Original claim text
Gate 2 attack - two clean tiers (was: diffuse 'full QG missing'). TIER A (physics, CLOSED under RP+gap): Decoupling Theorem - Delta_eff=Delta-2||V||=6log(3/2)-31/(4pi^2)=1.648>0 with ||V_metric||_rel<=248 c3^2=dim(E8) c3^2=31/(8pi^2) (31=2^gcar-1); strictly positive effective gap protects the admissible IR sector => every testable low-energy readout (masses, mixings, alpha^-1, R+R^2) is independent of G6. TIER B (strict TOE, REDUCED not closed): the seam is a FINITE causal boundary => the ambient BULK metric measure is reconstructed from a finite-codimension seam-Calderon BOUNDARY measure (holographic) => G6 is a BOUNDARY projective limit; conditional theorem RP(seam-Calderon)+tightness => G_metric closes. Residual = boundary projective limit (constructive-QFT grade), reduced not closed
Original classification detail
Identity [I] (Tier A) + [P]/[A] (Tier B boundary measure)
Dependencies as recorded
CONTRACT.G.01; QG.GAPDEC.01; GATE.METRIC.01
Open the original ledger source, row 142Location recorded in the ledger
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- Origin Theory
- 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.
- The whole integer skeleton from one pair [formula in source]input 4 origin theory
- Honest statusinput 4 origin theory
- 2026-06-22 (keystone unification + status reframe: ONE open theorem, ONE decoupled foreign problem: v335, FORM.QGEO.BW.01 qgeoSymIsCorollary)Research changelog; TFPT — Introduction and reading guide
- 2026-06-18 (scale + frontier round: [formula in source] -mass scale, EG gauge running, over-determination, QG roadmap, v272– v275)Research changelog; TFPT — Introduction and reading guide
- The whole integer skeleton from one pair [formula in source]input 4 origin theory
- 2026-06-23 (Directions 3 \& 7 — the two hard functional-analysis residuals ADVANCED: the QG measure as one-loop fluctuations around the parameter-free saddle ( v365), and the seam collar verified IN MMST's free-fermion class so the scaling limit is [formula in source] ( v366))Research changelog; TFPT — Introduction and reading guide
- 2026-07-15 ( v486 — generator hunt: the FULL transfer spectrum [formula in source] from ONE forced local rule — the unique lazy [formula in source] -pair walk [formula in source] ; the previously generator-less [formula in source] mode gets its origin; v327's uniform rule superseded as full-spectrum generator — no gate closes, no marker moves)Research changelog; TFPT — Introduction and reading guide
- The whole integer skeleton from one pair [formula in source]Origin Theory
All 32 linked sections
- 2026-06-19 (the last lever: the seam mass gap is the derived Recovery gap [formula in source] , v302)
- Front matter / support
- 2026-07-13 ( v476 — the AP2 compression conjecture of the entropic-action bridge made well-posed on an exactly solvable model: the literal operator-side reading is ill-posed on a pure bulk, the state-side reading is forced, the mismatch is exactly quadratic in the cross-cut correlations and gap-suppressed; AP2 stays , no status moves)
- Research Contract 1 — [formula in source]
- Honest status
- 2026-06-21 (TOE-roadmap solver round: the SEAM.EQUIV.01 keystone certificate, the modular bedrock, the carrier [formula in source] SM closure, the gap-decoupled measure, and the sharpened hypergraph substrate: v308– v312)
- The hard reduction: the live residual as typed interfaces
- 2026-06-22 (endgame round: the necessity of [formula in source] reduced to the order-4 CM selection, the QG metric sector characterized as the conformal-mode problem, [formula in source] and the [formula in source] commutation grounded in Lean: v331, v332, FORM.MU4COMM.01)
- Honest status
- 2026-06-23 (Bird's-eye synthesis: two new structural patterns — v383 the universal spectral-gap principle and v384 the residual is certification, not construction)
- Front matter / support
- Research Contract 2 — [formula in source]
- Front matter / support
- 2026-06-13 (terminal residual inventory: (A) no longer a structural class; one hinge + F_transfer + irreducible core, v167)
- Front matter / support
- 2026-06-23 (Track 2 of the forward plan v2 — the AMBIENT REDUNDANCY statement ( v369): the holographic route to Gravity-complete that sidesteps building the general Euclidean QG measure)
- Honest status
- 2026-06-22 (next-steps round: the one open lemma literature-anchored, the Decoupling Theorem, the holomorphy discriminator hardened in Lean, and the [formula in source] budget: v336, v337, v338, FORM.CARTAN.DET.01)
- Research Contract 1 — [formula in source]
- The compact status formula: three honest layers
- Front matter / support
- Research Contract 2 — [formula in source]
- The whole integer skeleton from one pair [formula in source]
- 2026-06-21 (the golden ratio made precise: the [formula in source] atoms are the affine- [formula in source] network spectral angles, [formula in source] the [formula in source] signature: v313)
Registered verification modules
- v76_gmetric_reduction.pyRegistered verification module · frontier
Read the description recorded in the module registry
Gate 2: decoupling Δ_eff=1.648>0; G6 holographically reduced to a seam-boundary measure
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