Manuscript XIV-J@1 · XIV-J.tex · section · 1c0e72ca

J1: one joint-map class, fixed before the calculation

J1: one joint-map class, fixed before the calculation · lines 768–813

XIV-J@1#eq:target

A joint characteristic operator map for the reconstructed six-branch sum against the grouped cross-lines.

The frozen spacetime, inverse, and carrier are

M = R^{4}, η = diag (1, - 1, - 1, - 1), □ = \partial_{t}^{2} - Δ_{x},

G_{gr}^{R} = - P E_{0}^{R}, E_{H} = (F_{mc, pol} [[ℏ, κ]], ⋆_{H}) / N_{sol} [[ℏ, κ]] .

All switches, observations, masses, and widths retain their predecessor values.

The pair is

V_{g} = - \frac{1}{2} \int g γ_{μν} T_{0}^{μν} [ϕ] d^{4} x, O = Φ^{(2)}_{D} + A_{1} [f, g] (r_{g} [ϕ]; ϕ),

with

Φ^{(2)}_{D} = A_{2}^{sc} [f, g] (γ, 0; ϕ) - C_{3, D} .

The retained formal target remains

T_{form} = i Contr^{γ ϕ} (V_{g}^{''}_{γ ϕ}, K_{ret}; H_{T}_{γ γ} (y, a) \otimes H_{T}_{ϕϕ} (y, b) - H_{γ γ} (y, a) \otimes H_{ϕϕ} (y, b)) .

Displayed formulas in this passage

XIV-J@1#eq:target · line 802
$T_{form} = i Contr^{γ ϕ} (V_{g}^{''}_{γ ϕ}, K_{ret}; H_{T}_{γ γ} (y, a) \otimes H_{T}_{ϕϕ} (y, b) - H_{γ γ} (y, a) \otimes H_{ϕϕ} (y, b)) .$
unlabeled · line 771
$A joint characteristic operator map for the reconstructed six-branch sum against the grouped cross-lines.$
unlabeled · line 778
$M = R^{4}, η = diag (1, - 1, - 1, - 1), □ = \partial_{t}^{2} - Δ_{x},$
unlabeled · line 783
$G_{gr}^{R} = - P E_{0}^{R}, E_{H} = (F_{mc, pol} [[ℏ, κ]], ⋆_{H}) / N_{sol} [[ℏ, κ]] .$
unlabeled · line 791
$V_{g} = - \frac{1}{2} \int g γ_{μν} T_{0}^{μν} [ϕ] d^{4} x, O = Φ^{(2)}_{D} + A_{1} [f, g] (r_{g} [ϕ]; ϕ),$
unlabeled · line 797
$Φ^{(2)}_{D} = A_{2}^{sc} [f, g] (γ, 0; ϕ) - C_{3, D} .$