Stage 3 handoff and unchanged boundaries

On ${\mathcal{P}}_{3q}$ with data assignment ${\mathcal{D}}_{3q}$, supply a predeclared finite additional hypothesis package $\mathsf{H}$ and a single-valued construction ${\mathfrak{F}}_m$ such that:

1. ${\mathcal{D}}_{\mathsf{H}}\ne \varnothing$;

2. for every $D\in {\mathcal{D}}_{\mathsf{H}}$, ${\mathfrak{F}}_m(D)\in {\mathcal{A}}_m(D)$, or in the exactly specified feasibility set of a justified revised carrier;

3. the relevant countermodel audit and genuinely additional-content comparison are proved;

4. the constructed cone-selecting properties are derived from the operational premises, or their additional assumed status is explicit;

5. the representation invariance, limits, and evidence statements required by the claim are proved;

6. the resulting conclusion meets XXII-A's conditions (T1)–(T5) without installing a spacetime metric, geometric causal relation, physical light cone, or invariant speed as input.

This target has no proof in XXII-C.

If homogeneity and strict convexity are used only as assumptions on the constructed cone, any eventual classification conclusion must be described as conditional on those assumptions. The existence and construction obligations are not discharged by that conditional implication.

A supplied VII-J-type causal relation is still a subsequent embedding problem. On a definite-order channel realization, certified containment of every dependency edge is an additional embedding hypothesis; it does not derive the supplied metric or causal relation CheungVIIJ,CheungXXIIA.

boundaries. XXII-C constructs no faithful generated affine representation for a cone-selecting admissible family. It does not derive homogeneity or strict convexity from the process matrices, apply Ito–Lourenço to an operationally extracted cone, or complete the En08-A exclusion audit.

It proves no Einstein dynamics, holographic reconstruction, Page curve, gravity-generated entanglement, or quantum evolution without an external time. No result here changes O.1, XV-B, XVI-N, Route B, H2, I3, or J2. No quantum coefficient is admitted. No successful compilation, native programme execution, numerical optimization, or proof-assistant verification is asserted CheungXIXE.

gap statement. The remaining gap is the construction, on the frozen family and access model, of one nonempty additional operational package and one predeclared affine-construction rule linking its component order to a faithful generated cone with justified selecting properties. The exact order query is now defined and its partial-order character proved. The representation and selection remain open. Neither the countable experiment family nor the classification literature supplies those missing constructions by itself.