Abstract

This note specifies a dynamics-comparison layer for a prospective operational Lorentz-cone extraction and its separately justified transport realization. A single affine cone determines a conformal class of constant quadratic forms, not a curved metric field: its translation-invariant representative is flat. Moreover, even a full pointwise cone field does not determine the Einstein tensor, because position-dependent conformal rescaling preserves the cones while changing curvature. We prove these obstructions and formulate the additional metric-jet and source interfaces needed for a linearized Einstein comparison. An explicit finite-dimensional comparator, gauge identity, conservation test, matching residual, ansatz-feasibility criterion, and error certificate are established. Unrestricted matching at one point is shown to be algebraically manufacturable and therefore insufficient as an emergence claim. Process data alone also do not identify an energy observable, and transport convergence alone does not control curvature. No operational stress-energy rule, successful metric-jet extraction, or countermodel satisfying a complete extraction–transport–dynamics package is constructed. The release is a proved collection of scoped obstructions and conditional comparison tools, not an Einstein-dynamics or holographic reconstruction theorem.