Manuscript VII-I@1 · VII-I.tex · remark · 907e96ab

Remark: Source smoothing is not density preparation

Route B1b: a divergence-form density preparation · lines 804–817

VII-I@1#eq:layer-source

Already at first order,

w_{ϵ}^{μ} [h] = E^{R}_{0} [σ_{ε} C^{μ} h - (\partial_{α} σ_{ε}) a_{1}^{α μ} [h]] .

The prescription $E^{R}_{0} (σ_{ε} C h)$ omits the second term. It is a different coordinate construction. The general density/source distinction is also the subject of XII-B CheungXIIB.

Displayed formulas in this passage

VII-I@1#eq:layer-source · line 806
$w_{ϵ}^{μ} [h] = E^{R}_{0} [σ_{ε} C^{μ} h - (\partial_{α} σ_{ε}) a_{1}^{α μ} [h]] .$

Nearby in this section

section: Route B1b: a divergence-form density preparation