The Recovery of Geometry and Gravitation

The completed Chronoflux Atlas recovers geometry and gravitation as descendants of conserved temporal transport. The recovery begins with the normalised quadratic response of an admitted transport state. Its non-degenerate Lorentzian principal tensor density fixes a finite characteristic cone and, in four spacetime dimensions, determines a unique state-dependent response metric once the action normalisation is declared. Metric compatibility and vanishing torsion then select the Levi-Civita connection of that recovered metric, from which curvature follows in the ordinary covariant manner. Geometry is therefore not appended to the transport theory as a metaphor. It is returned by the propagation structure of the theory itself. Gravitation enters at the next layer. Metric variation of the common action returns the physical stress tensor, while diffeomorphism covariance returns its on-shell balance. Under locality, covariance, second-order metric dependence, divergence compatibility and the absence of an additionalindependent geometric field, the four-dimensional metric equation is selected in Einstein form with a cosmological term. The weak-field branch then returns the active source, potential and restoring acceleration. Density, pressure and stress do not act as unrelated forces. They enter one covariant response by which non-uniform temporal transport seeks equilibrium as such. Two boundaries remain exact. First, the recovered response metric and the carried metric are distinct until an admissible state solves the field equations on a carrier which is reproduced by its own perturbative response. This is the carrier-response fixed-point gate. Second, continuity and the dimensionless Atlas hierarchy cannot determine the absolute dimensionful coupling. Its normalisation requires a further physical scale, a completed vacuum-response theorem or empirical calibration. These gates do not diminish the recovered result. They specify precisely what has been recovered and what numerical identification remains. The paper derives the response metric, Lorentz comparison, recovered connection, curvature, Einstein-form selection, weak-field active-source law and geometry-gravity Admissibility, Recoverability and Persistence certificate. It also supplies direct falsification conditions. A verified non Lorentzian principal response on the admitted branch, failure of covariant source balance, non persistent metric reconstruction, or failure of a frozen weak-field observation map would reject the corresponding claim. The sixth descent is therefore closed at its proper boundary: response geometry and gravitational restoration are recovered, while universal self-consistency and absolute coupling normalisation remain separately indexed gates. Keywords: response geometry; gravitation; effective metric; principal symbol; Levi-Civita connection; curvature; Einstein selection; weak field; geometric fixed point; Chronoflux Atlas