Exact release and remaining gap

The completed Stage 0 release consists of:

1. the separation in Theorem thm:separation;

2. the cited obstruction in Theorem thm:obstruction;

3. the conditional classification in Theorem thm:classification;

4. the unproved but precise Research target target:selection and its acceptance audit.

There is no fourth theorem asserting positive selection.

For the later programme, the intended obligations are:

Stage 1.

Name and freeze the operational process class, its additional data, the relation to be extracted, and the finite hypothesis ledger. Establish non-vacuity and explain the relevant countermodel exclusions.

Stage 2.

Construct the faithful generated carrier and order representation, including any necessary quotient, extension, or continuum limit. Prove the needed compatibility and convergence statements.

Stage 3.

Prove the cone-selecting properties and apply an appropriate classification, or state a explicitly conditional selection theorem. Any comparison with a supplied geometric causal relation follows as a separately certified embedding.

XXII-A does not derive homogeneity or strict convexity from quantum data; construct an attained null protocol; identify scheduled ancestry with geometric causality; or construct a metric field. It proves no Einstein dynamics, gravity-generated entanglement, holographic reconstruction, Page curve, or quantum evolution without an external time.

The note supplies no result changing the separate series obligations O.1, XV-B, XVI-N, Route B, H2, I3, or J2. No quantum coefficient is admitted. No predecessor proof is represented as machine-checked, and no native programme execution or successful pdfLaTeX build is asserted. These are scope boundaries, not universal impossibility claims CheungXIXE.

precise remaining gap. Stage 1 must supply {the additional quantum operational data and the finite hypothesis package, on one nonempty frozen process class, that go beyond the scheduler package $\mathsf{S}$ and are sufficient for a faithful generated Lorentz-cone selection}. Until that package and its connecting proofs are supplied, scheduler consistency remains obstructed as a selection principle, and homogeneity-plus-strict-convexity remains a conditional classification route rather than an operational emergence theorem.