Manuscript XVI-B@1 · XVI-B.tex · section · 6a0abffd

Response: XVI-D

Update from the supplied later sheets › Response: XVI-D · lines 1375–1407

XVI-B@1#eq:later-response

XVI-D constructs

V_{λ}^{μν} (t) = \int_{0}^{t} (t - s) S_{λ}^{μν} (s) d s, R_{λ} = - P V_{λ},

and, using the inherited smooth zero-data uniqueness theorem, identifies

U_{D} [γ_{1}^{λ}, γ_{2}^{λ}] = R_{λ} .

It also computes the spatial traceless response contraction XVID.

These are reported later response results. They do not identify $V_{λ}$ with a Green symbol applied outside its proved compact-interior domain.

The scalar completion forcing is compact because every term contains $g$ or a derivative of $g$ . The coordinate forcing

F_{co}^{μ} = \partial_{t} (σ V_{λ}^{0 μ})

has no such factor $g$ and is spatially noncompact. Thus the compact-interior Green lemma alone does not verify its use in the named coordinate leg.

Displayed formulas in this passage

XVI-B@1#eq:later-response · line 1378
$V_{λ}^{μν} (t) = \int_{0}^{t} (t - s) S_{λ}^{μν} (s) d s, R_{λ} = - P V_{λ},$
unlabeled · line 1387
$U_{D} [γ_{1}^{λ}, γ_{2}^{λ}] = R_{λ} .$
unlabeled · line 1400
$F_{co}^{μ} = \partial_{t} (σ V_{λ}^{0 μ})$