Original ledger status
GRAVITY.COMPLETE.01
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).
Recorded status: 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)
Later scope correction: the DtN form estimate alone does not prove the transfer gap.
Dependencies, status detail and source
Canonical status: [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: GRAV.NONLINEAR.01; QGAMB.REDUNDANCY.01; QG.AMB.01; v358; v359; v369; v60; v36; v54
Scripts: v399_gravity_complete.py
Location: tfpt_research_contracts
Original CSV, line 469Original ledger status
QGAMB.NODEP.01
The No-Ambient-Dependency certificate (2026-06-25): no frozen TFPT readout is COMPUTED from the ambient QG measure QG.AMB.01 -- sharpening the v369/v384 prose redundancy ('QG.AMB.01 is a [C] redundancy, not dynamics') into a machine-checked DAG+script fact, told HONESTLY. [E] GAP-DECOUPLING MARGIN: 2 dim(E8) c3^2 = 31/(4 pi^2) (31=2^g_car-1) ~ 0.785, Delta = 6 ln(3/2) ~ 2.433, so Delta_eff ~ 1.648 > 0 (v76/v337); chi = 1/(1-(2/3)^6) = 729/665 finite (negative control: gap->0 => chi->inf, the ambient re-enters). [E] CERTIFICATION SINK: every claim that lists QG.AMB.01 as a dependency is a gravity-gate/QG-certification row (GATE.METRIC.01, GRAVITY.COMPLETE.01, the QGAMB.* cluster, SEAM.S3.RP.01, ...), NONE a frozen physical prediction -- QG.AMB.01 has no predictive direct dependent. [E] NOT A VALUE SOURCE: QG.AMB.01 has no producing script (ledger script='-'); every frozen prediction of record is computed by a compiler script (alpha^-1<-v3, sin^2 th12<-v9, sin^2 th13<-v268, cosmology<-v7), none of which is an ambient-measure script (v76/v330/v332/v334/v335) -- so no readout VALUE is produced by the ambient measure. [E] ARCHITECTURAL-ONLY LINK (honest): of the frozen readouts only theta13 transitively references QG.AMB.01, and the path runs through the 4D-QFT CONTRACT spine (PS.DIRAC.02 -> CONTRACT.QFT4D.01 -> QG.G2.01 -> GATE.METRIC.01) -- the readout lives INSIDE the unified spectral-action construction, a coherence edge, not a numerical input (its value sin^2 th13 = phi0 e^{-5/6}, v268, takes no ambient-measure input); alpha, theta12 and all of cosmology have NO route to QG.AMB.01 at all. [C] VERDICT: QG.AMB.01 is a gap-decoupled certification object -- no readout VALUE is computed from it, its only predictive link is the architectural 4D-QFT contract, and the gap margin (1.648>0) suppresses its back-reaction -- v369 as a DAG/script fact. HONEST: this does NOT prove SEAM.EQUIV.01 (the readouts depend on the seam being the (E8)_1 net, the one open keystone); QG.AMB.01 specifically is dead.
Recorded status: No-Ambient-Dependency [E]/[C]: no frozen readout is computed from QG.AMB.01 -- it is a certification SINK (every dependent is a gravity-gate/QG row, no prediction), not a value source (script '-'; predictions computed by v3/v7/v9/v268, never an ambient-measure script), and its only predictive link is theta13's architectural 4D-QFT contract edge (coherence, not numerical); the gap margin Delta_eff~1.648>0 decouples its back-reaction (v337). v369 prose -> machine-checked DAG/script fact [E]; verdict [C], does NOT prove SEAM.EQUIV.01
Later scope correction: the DtN form estimate alone does not prove the transfer gap.
Dependencies, status detail and source
Canonical status: Numerical
Dependencies: QG.AMB.01; DECOUPLING.THEOREM.01; SEAM.EQUIV.01; v337; v369; v384
Scripts: v423_no_ambient_dependency.py
Location: tfpt_4
Original CSV, line 490