Assumption: Retained I-B/X-A-ST instance

Retain exactly the previously supplied instance:

1. a regular time-oriented conical product $({\mathcal{M}}^{\circ },G)$, its stipulated completion defect $\mathcal{W}$, and its supplied future relation;

2. a supported injective developing chart

   $$\iota :\mathcal{L}⟶{\mathcal{M}}^{\circ },$$

   with the retained regular compact reserve disjoint from $\mathcal{W}$;

3. the independently declared analytical completion

   $$\hat{M}={\mathbb{R}}^{1+3},\eta =\mathrm{diag}(1,-1,-1,-1),M_{T_{\ast }}=[0,T_{\ast }]\times {\mathbb{R}}^3,\Sigma =\{t=0\};$$

4. the signature and time ledger

   $${\iota }^{\ast }G=-\eta ,t=c_{\mathrm{host}}(T-T_{\Sigma });$$

5. a nonempty observation region

   $$\mathcal{O}⋐(0,T_{\ast })\times {\mathbb{R}}^3,D_{\ast }:=J_{\eta }^{-}(\overline{\mathcal{O}})\cap M_{T_{\ast }}⋐\mathcal{L};$$

6. a regular convex developed spatial tube and a positive time reserve for the finite protocols below.

All global field equations and Green operators belong to $\hat{M}$, not to a purported globally hyperbolic regular cone.