Manuscript XVI-D@1 · XVI-D.tex · section · b73c6f4a

Object and sign register

Setting, source input, and signs › Object and sign register · lines 436–478

The diagonal response is denoted $u_{D} [γ]$ ; the polarized response is $U_{D} [γ_{1}, γ_{2}]$ . A prospective compact observable kernel is denoted $w_{D}$ . These are not interchangeable.

Object	Equation or definition	Status
$u_{D} [γ]$	$L u_{D} [γ] = J_{D} [γ]$	Imported diagonal response
$r_{D} [γ]$	$r_{D} = - u_{D}$ ; $L r_{D} = - J_{D}$	Action-equation convention
$V_{λ}$	$□ V_{λ} = S_{λ}$ , zero data	Explicit particular field
$R_{λ}$	$R_{λ} = - P V_{λ}$ ; $L R_{λ} = S_{λ}$	Witness response proved below
$X_{cand}$	$□ X_{cand} = - F_{co}$	Explicit coordinate candidate
$w_{D}$	Compact kernel on three field slots	Not constructed here

The sign convention for a diagonal action-equation coefficient is not an unlabelled identification of that coefficient with a response on a different domain. If it is polarized, its polarization is correspondingly the negative of the polarized response.