Manuscript XXII-E@1 · XXII-E.tex · section · 51c99d2f
Completed release and remaining gap
Completed release and remaining gap · lines 1644–1739
XXII-E@1#target:dynamics
{}1.12
| Item | Status | Exact scope |
|---|---|---|
| Item | Status | Exact scope |
| Constant affine flatness | Proved | Theorem thm:flat; excludes a nonzero source on the unchanged constant branch |
| Conformal curvature ambiguity | Proved | Proposition prop:conformal; even pointwise cones do not fix the Einstein tensor |
| Energy underdetermination | Proved | Proposition prop:energy; bare process data admit different appended energy assignments |
| Linearized comparator and identities | Defined and proved | Formal metric jets, gauge identity, and field Bianchi necessity |
| Single-point feasibility | Proved | Theorem thm:surjective; unrestricted algebraic feasibility is not independent extraction |
| Finite matching and error certificates | Proved | Fixed comparator, ansatz, norms, and covered residual space |
| Operational metric-jet rule | Open | No independently derived |
| Operational stress-energy rule | Open | No physically interpreted on a joint admissible domain |
| Complete class-internal mismatch | Open | No witness meeting Definition def:countermodel |
| Continuum field matching | Not constructed | Carrier, derivative, integrability, and source interfaces absent |
| Nonlinear Einstein dynamics | Not established | First-order certificates do not supply higher orders |
The completed Stage 4 release is the corrected dynamics interface, the obligations D1–D6, and the scoped calculations and certificates printed above. It is therefore inaccurate to say that no obstruction of any kind has been constructed. It is equally inaccurate to report these scoped obstructions as a universal no-go theorem for the complete future operational target.
Construct one predeclared additional package with:
a nonempty joint operational domain meeting the applicable extraction and transport targets;
a justified geometric derivative or metric-jet rule and source rule, with all independent inputs and assumed status disclosed;
a fixed comparison coupling, operator, gauge convention, and comparison domain;
either a matching theorem on that domain or a correctly scoped admissible mismatch or infeasibility certificate;
the invariance, coverage, derivative-limit, calibration, and evidence statements required by the claim.
For a nontrivial curvature claim, the unchanged constant affine geometry must be supplemented by an explicitly justified varying geometric construction.
This target has no operational existence proof in XXII-E.