Manuscript XIV-D@1 · XIV-D.tex · section · 1a7f173d

Geometry, product data, and ambiguity

D0: the unchanged contract › Geometry, product data, and ambiguity · lines 403–442

Use

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

M_{T} = [0, T] \times R^{3}, M_{T}^{\circ} = (0, T) \times R^{3} .

All widths, observations, switches, and propagators remain those fixed in XIV-C. The carrier is unchanged:

E_{H} = (F_{mc, pol} [[ℏ, κ]], ⋆_{H}) / N_{sol} [[ℏ, κ]] .

The time-ordered line remains

H_{T} = H + i G_{act}^{A} .

Its metric–scalar blocks vanish. No replacement Hadamard matrix is selected.

The ambiguity class remains the inherited $C_{part}$ . Its defined graphwise members have collision support and the form

D_{Γ} [w_{Γ} \partial_{r}^{α} δ (r_{I}) S_{Γ/ I}], ∣ α ∣ \leq 6,

with the inherited weights, spectator coefficients, two residual field slots, support closure, and normalization requirements.

No class of characteristic prescriptions is declared to have been constructed. In particular, a universal obstruction is not tested against an unspecified class.

Displayed formulas in this passage

unlabeled · line 406
$M = R^{4}, η = diag (1, - 1, - 1, - 1), □ = \partial_{t}^{2} - Δ_{x}, P_{m} = □ + m^{2},$
unlabeled · line 411
$M_{T} = [0, T] \times R^{3}, M_{T}^{\circ} = (0, T) \times R^{3} .$
unlabeled · line 416
$E_{H} = (F_{mc, pol} [[ℏ, κ]], ⋆_{H}) / N_{sol} [[ℏ, κ]] .$
unlabeled · line 422
$H_{T} = H + i G_{act}^{A} .$
unlabeled · line 430
$D_{Γ} [w_{Γ} \partial_{r}^{α} δ (r_{I}) S_{Γ/ I}], ∣ α ∣ \leq 6,$