Skip to main content

A registered result in its source context

Original ledger classification: Gravity-completeness accounting [E]/[C]/[O] (Paper B: the explicit verdict = local parameter-free equation + ambient redundancy; O_phys subset A_Sigma over 5 readout classes; residual = SEAM.EQUIV.01 + intrinsic BW, no new gate)

Recorded statement: GRAVITY-COMPLETE = BOUNDARY-COMPLETE + AMBIENT-REDUNDANCY (2026-06-24, Paper B / the gravity closure accounting): the explicit verdict combining the parameter-free LOCAL field equation (v358/v359) and the ambient REDUNDANCY (v369). Does…

Statement, assumptions and sources

Paper context: tfpt research contracts

The exact identifier, original classification and full claim are available below.

The source wording and classification below are preserved as recorded. A paper link, shared script or authored topic relation does not upgrade the claim or report a new proof run. Read later reviewed findings separately.

Read the exact registered claim and its dependencies

GRAVITY.COMPLETE.01

Original ledger classification: Gravity-completeness accounting [E]/[C]/[O] (Paper B: the explicit verdict = local parameter-free equation + ambient redundancy; O_phys subset A_Sigma over 5 readout classes; residual = SEAM.EQUIV.01 + intrinsic BW, no new gate)

Original claim text

GRAVITY-COMPLETE = BOUNDARY-COMPLETE + AMBIENT-REDUNDANCY (2026-06-24, Paper B / the gravity closure accounting): the explicit verdict combining the parameter-free LOCAL field equation (v358/v359) and the ambient REDUNDANCY (v369). Does NOT construct the ambient measure and does NOT close SEAM.EQUIV.01. [E] LOCAL EQUATION PARAMETER-FREE: G_ab+Lambda g_ab=(1/c3)T_ab with 1/c3=8pi (the four c3-roles consistent: Unruh 1/(2pi)=4c3, EH 1/(16pi)=c3/2, Einstein 8pi=1/c3, Bekenstein 1/4=1/|mu4|), Lambda prefactor (8pi)^2*48 c3^4=3/(4pi^2). [E] REDUNDANCY DISCRIMINATORS: holomorphic (E8)_1 => DHR=Vec (|det Cartan|=1 vs 4) + torus GSD=1, Petz recovery (2/3)^6, gap margin Delta_eff=6 ln(3/2)-31/(4pi^2)~1.648>0. [E] O_phys SUBSET A_Sigma: the five physically reachable gravitational readout classes (Newton 8pi, Lambda 3/(4pi^2), scalaron c3^7, horizon density 1/4=1/|mu4|, BH recovery (2/3)^6) are all boundary/seam/gap readouts -- the bulk ambient measure adds none. [C] THE VERDICT: Gravity-complete (TFPT sense) = Boundary-complete + Ambient-redundancy. [O] RESIDUAL (no new gate): SEAM.EQUIV.01 + intrinsic Bisognano-Wichmann (v369/v329).

Original classification detail

[E] the parameter-free local-equation coefficients (8pi=1/c3, Lambda prefactor 3/(4pi^2)) + the redundancy discriminators (det 1 vs 4, GSD=1, Petz (2/3)^6, margin 1.648) + the O_phys-subset-A_Sigma enumeration over 5 readout classes; [C] the completeness verdict; [O] SEAM.EQUIV.01 + intrinsic BW (no new gate). A completion-accounting module (genre of v384); no construction, no new number.

Dependencies as recorded

GRAV.NONLINEAR.01; QGAMB.REDUNDANCY.01; QG.AMB.01; v358; v359; v369; v60; v36; v54

Open the original ledger source, row 469

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.

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.

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.

Registered verification modules

  • v399_gravity_complete.pyRegistered verification module · frontier
    Read the description recorded in the module registry

    Gravity-complete = Boundary-complete + Ambient-redundancy (Paper B): local equation parameter-free (v358/v359) + redundancy discriminators (v369) + O_phys subset A_Sigma over 5 readout classes

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