Manuscript XII-F@1 · XII-F.tex · input · 54cb3169

Input statement: Source, carrier, and free normalization

The question, the endings, and the copied handoff · lines 388–426

XII-C fixes

S_{grav, D} = S_{EH} + κ \int (σ_{ε} - 1) ℓ_{3} d^{4} x, J_{D} = σ_{ε} J_{3} + D_{σ_{ε}} .

Its pure-trace layer contraction is $- 6 (\partial_{μ} σ_{ε}) ψ \partial^{μ} ψ$ . The named invariant jet $J^{D}_{g, σ_{ε}} (ϕ_{m})$ remains empty by a late-switch compatibility defect, not by failure of a Green operator XIIC.

XII-A supplies

E_{H} = (F_{mc, pol} [[ℏ, κ]], ⋆_{H}) / N_{sol} [[ℏ, κ]],

with the complete free shell

C_{sol} = {□ γ = 0, P_{m} ϕ = 0, □ c = □ c ˉ = 0, b = D γ} .

The equation and action operators have this same kernel. The original detected XI-G classes remain excluded XIIA,XIG.

XI-B fixes

G_{gr}^{R} = - P E_{0}^{R}, A + 2 D^{*} D = - □ P, P D^{*} = - R, R = K /2.

The plateau residual intersection is ${0}$ , and propagated support is not layer support. Its ghost rule $s_{0} γ = R c$ is not a nonlinear metric co-transformation XIB.

Displayed formulas in this passage

unlabeled · line 390
$S_{grav, D} = S_{EH} + κ \int (σ_{ε} - 1) ℓ_{3} d^{4} x, J_{D} = σ_{ε} J_{3} + D_{σ_{ε}} .$
unlabeled · line 403
$E_{H} = (F_{mc, pol} [[ℏ, κ]], ⋆_{H}) / N_{sol} [[ℏ, κ]],$
unlabeled · line 409
$C_{sol} = {□ γ = 0, P_{m} ϕ = 0, □ c = □ c ˉ = 0, b = D γ} .$
unlabeled · line 418
$G_{gr}^{R} = - P E_{0}^{R}, A + 2 D^{*} D = - □ P, P D^{*} = - R, R = K /2.$

Input statement: Source, carrier, and free normalization

Displayed formulas in this passage

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