Manuscript XIII-E@1 · XIII-E.tex · input · 74eaba48

Input statement: Binary convention

Copied prerequisite sheet › XIII-B's tree datum and ordered values · lines 326–346

XIII-E@1#input:B

The vertex

V_{g} = - \frac{1}{2} \int g γ_{μν} T_{0}^{μν} [ϕ] d^{4} x

is admitted. The tree datum

R_{1}^{(0)} = - ⟨ O^{'}, G_{act}^{R} V_{g}^{'} ⟩ = ⟨ O^{'}_{γ}, r_{g} [ϕ] ⟩ + ⟨ O^{'}_{ϕ}, p_{1} [γ; ϕ] ⟩

is constructed, proper, and microcausal.

Ordered values of $R_{1}$ are $0$ or $\frac{i}{ℏ} [O, V_{g}]_{⋆_{H}}$ . The literal normalization $R_{1} = V_{g} ⋆_{H} O$ is proved obstructed XIIIB.

Displayed formulas in this passage

unlabeled · line 329
$V_{g} = - \frac{1}{2} \int g γ_{μν} T_{0}^{μν} [ϕ] d^{4} x$
unlabeled · line 334
$R_{1}^{(0)} = - ⟨ O^{'}, G_{act}^{R} V_{g}^{'} ⟩ = ⟨ O^{'}_{γ}, r_{g} [ϕ] ⟩ + ⟨ O^{'}_{ϕ}, p_{1} [γ; ϕ] ⟩$