A registered result in its source context

Location recorded in the ledger

These document locations are recorded directly on the ledger row. They are document level navigation, rather than a newly inferred section citation.

• TFPT — Introduction and reading guide
  Browse this documentRead the PDFOriginal source

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.

• 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

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.

• 2026-06-30 ( v445 — the rigidity FORCING converse: commuting with the order- [formula in source] clock is exactly [formula in source] -block-diagonality, upgrading the rigidity step from ``permit'' to ``force'')Research changelog; TFPT — Introduction and reading guide
• The closure ledger: what is done, and what genuinely remainsTFPT — Introduction and reading guide
• Honest statusinput 4 origin theory
• Front matter / supportResearch contracts
• The unique attractor: a gapped transport selects ONE fixed pointorigin theory
• The unique attractor: a gapped transport selects ONE fixed pointinput 4 origin theory
• 2026-06-22 (the four black-hole-birth completion routes investigated: none closes all or is 100\% provable alone; all four converge on SEAM.EQUIV.01 [formula in source] the decoupled QG contour: v343)Research changelog; TFPT — Introduction and reading guide
• Research Contract 1 — [formula in source]tfpt research contracts

Registered verification modules

• v335_seam_equiv_unify.pyRegistered verification module · core
  Read the description recorded in the module registry

  The keystone unification: there is ONE open theorem (SEAM.EQUIV.01), QGEO.SYM.01 is its COROLLARY (a conformal-net axiom), and QG.AMB.01 is a decoupled general QG problem, NOT a TFPT gate. [E] QGEO.SYM.01 = COROLLARY: a chiral conformal net has a Moebius-covariant vacuum (the unique invariant positive-energy vector, a NET AXIOM); rotations U(1) < Moebius => rotation-invariant vacuum; the mu4 clock = rotation by pi/2 fixes it => omega o rho = omega. So SEAM.EQUIV.01 => QGEO.SYM.01 with NO extra premise (the v323 'rotation-invariant vacuum' is a net axiom); the two bedrock items collapse to ONE. [E] THE ONE KEYSTONE THEOREM: SEAM.EQUIV.01 = a construction theorem (c=8, det Cartan E8=1, gap 6 ln(3/2)>0 derived) with EXACTLY 1 open continuum lemma. [E] QG.AMB.01 DECOUPLED: margin Delta-31/(4pi^2)~1.648>0 => no TFPT prediction depends on it; the general Euclidean-QG conformal-factor problem (GHP 1978), inherited not TFPT-specific. [E] COLLAPSED STATUS: structural items 2->1; live residual = v_geo + G_net(=SEAM.EQUIV.01) + F_transfer. [O] the one residual = SEAM.EQUIV.01's continuum OS reconstruction (Lean-pinned). A synthesis/inventory; does NOT close SEAM.EQUIV.01.

A registered module is a source reference. Its presence does not assert that the module was executed in this snapshot.