Release, existential target, and remaining gap

The completed mathematical release comprises:

1. the self-contained named process and component-order interface;

2. Theorem thm:assembly, a proved conditional implication;

3. the finite-generation, finite-future, and matched-symmetry obstructions;

4. Corollary cor:approximation, a proved conditional complete-output endpoint certificate;

5. the separate ledgers and optional finite validation Proposition prop:validation;

6. obligations F1–F6 and the retained non-identifications.

No successful predicate list, affine selector, or compatible protocol family is constructed. In particular, the symmetry obstruction shows why a mathematical embedding witness for an infinite poset need not become a covariant operational extraction.

Find one actual predeclared package on ${\mathcal{P}}_{3q}$ comprising:

1. a finite hypothesis list and an exhibited nonempty admissible domain satisfying the required additional-content audit;

2. a single-valued rule satisfying the representation, selecting-property, covariance, and input certificates of Specification spec:certificates, or a fully specified justified revised-carrier branch;

3. a nonempty subdomain with compatible transport realizations and declared nonempty null-target families;

4. finite protocols with proved resource functions and allowances satisfying the relevant approximation and evidence conclusions;

5. any required computation, estimation, extension, and relabelling-compatibility theorems.

A full fixed-source null-boundary target cannot use the unchanged finite-future carrier without an explicit compatible change. This existential target is not established in XXII-F.

The logical order is

followed separately by

Neither arrow supplies the hypotheses of the other. Dynamics matching requires further structures identified in XXII-E.

boundaries. No metric field on an operationally identified manifold, preferred frame, physical units, invariant physical speed, attained null transport event, stress-energy extraction, or Einstein dynamics is established.

No holographic reconstruction, Page curve, gravity-generated entanglement, observation-boundary/light-cone identification, or quantum evolution without external time is proved. No result changes O.1, opens XV-B, discharges XVI-N or Route B, or alters H2, I3, or J2. No inherited characteristic quantum coefficient is admitted.

No predecessor proof is represented as machine-checked. No numerical optimization, native programme execution, laboratory implementation, or successful pdfLaTeX build is asserted CheungXIXE.