Manuscript XXII-E@1 · XXII-E.tex · section · 51c99d2f

Conditional extraction and transport

Conditional operational input › Conditional extraction and transport · lines 291–314

In the coordinates of $T_{D}$ , choose the representative

η_{μν} = diag (1, - 1, \dots, - 1), 0 \leq μ, ν \leq m - 1.

Equivalently, on $V_{D}$ , the bilinear representative is

η_{D} (u, v) = (T_{D} u)_{0} (T_{D} v)_{0} - i = 1 \sum^{m - 1} (T_{D} u)_{i} (T_{D} v)_{i} .

The cone determines its positive constant rescalings as one conformal class, not a preferred member, observer, or physical system of units CheungXXIIA (rem:conformal) CheungXXIID (prop:calibration).

The value $m = 4$ is not derived by this convention. All calculations below hold for the declared dimension $m \geq 3$ .

Displayed formulas in this passage

unlabeled · line 294
$η_{μν} = diag (1, - 1, \dots, - 1), 0 \leq μ, ν \leq m - 1.$
unlabeled · line 299
$η_{D} (u, v) = (T_{D} u)_{0} (T_{D} v)_{0} - i = 1 \sum^{m - 1} (T_{D} u)_{i} (T_{D} v)_{i} .$

Nearby in this section

assumption: Model specification: Conditional kinematic input