T ONTOLOGY OF TRANSFORMATION Volume III: Correspondences From Ontology to Readings

T — Ontology of Transformation, Volume III: Correspondences completes a closed ontological project developed across three volumes. It assumes the validity of the minimal ontology and formal grammar established in Volumes I and II and introduces no new ontological primitives. The purpose of this volume is strictly methodological. It defines and applies correspondence maps (“readings”) between the closed ontological structure of T and established descriptive frameworks, including physics, mathematics, information theory, computation, and cognition. These correspondences are treated as lossy, structure-preserving projections: they preserve relational structure while discarding ontological granularity through smoothing or abstraction. Volume III does not derive physical laws, predict constants, or fit empirical data. Physical, mathematical, and informational concepts (such as time, space, mass, energy, number, information, computation, and observation) are shown to arise only as readings of ontological structures already present in T—never as primitives, substances, or explanatory causes. Each correspondence is evaluated through a finite eliminative procedure: competing candidates are inspected against the constraints of the ontology and grammar, terminated where they require illicit enrichment, and retained only where they respect asymmetry (ontology → reading), finitude, and arity constraints. Explicit failure modes are identified where correspondence necessarily breaks (e.g., singularities, the Big Bang, Planck-scale limits), and these failures are treated as artifacts of projection, not features of the ontology itself. This volume is intended to close the project, not extend it. The ontology stands independently of its readings, and the readings are explicitly bounded. Any empirical phenomenon or theoretical requirement that demands ontological primitives absent from Volumes I–II would falsify the correspondence framework presented here.