APF Paper 6 — Dynamics and Geometry as Optimal Admissible Reallocation

Admissibility Physics — Dynamics and Geometry as Optimal Admissible Reallocation (Paper 6) This Zenodo community collects research outputs associated with Admissibility Physics, with primary focus on Paper 6 — Dynamics and Geometry as Optimal Admissible Reallocation and the emergence of equations of motion and spacetime geometry as conditional representational structures. Paper 6 shows that dynamics and geometry are not fundamental laws, but bookkeeping frameworks that become available only in regimes where admissibility constraints permit smooth, locally additive reallocation of correlation capacity. When such regularity holds, admissible evolution can be characterized by extremal accumulated enforcement cost, yielding variational principles, Euler–Lagrange equations, Hamiltonian structure, and conservation laws as necessary representations. No equations of motion are postulated. Geometry emerges in parallel. Distance is defined as minimal irreducible correlation cost; curvature reflects gradients in enforcement capacity; and Einstein’s equations arise as the unique closure relation preserving admissibility under smooth correlation-load distributions in four dimensions. Spacetime is therefore not an arena but a representational encoding of correlation cost. Crucially, Paper 6 also characterizes the failure modes of these representations. Near saturation, record locking, horizons, or branching admissible paths, the assumptions required for variational dynamics and geometric description break down. These failures are not pathologies or inconsistencies; they are regime exits where admissibility accounting remains valid but smooth description does not. All subsequent works in this community rely on the regime structure defined in Paper 6 to interpret where quantum, dynamical, and geometric descriptions apply and where they must fail. The paper completes the representational layer of Admissibility Physics by explicitly delimiting the domains of validity of classical dynamics and spacetime geometry. This community serves as a curated, citable archive centered on the conditional emergence and limits of dynamics and geometry. Paper 6 functions as the closure of the core framework: the point at which finite enforceability yields classical physics as a special case rather than a foundation. Core papers are frozen where noted; companion papers, mathematical supplements, figures, and computational artifacts document derivations, regime conditions, and observable implications.