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 minimal ontology and formal grammar established in Volumes I and II and introduces no new ontological primitives. The sole function of this volume is 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 constraints while discarding ontological granularity through smoothing or abstraction. Volume III does not derive physical laws, predict constants, or fit empirical data. Concepts such as time, space, mass, energy, number, information, computation, and observation are shown to arise only as readings of structures already present in the ontology—never as substances, causes, or explanatory primitives. 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 boundary cases are identified where correspondence necessarily breaks (e.g., singularities, Big Bang, Planck-scale limits), and these failures are treated as artifacts of projection, not features of the ontology itself. This volume is non-constructive and non-extensible. The ontology stands independently of its readings, and the readings are explicitly bounded. Any empirical or theoretical requirement that demands ontological primitives absent from Volumes I–II would falsify the correspondence framework presented here. Status: Locked preprintScope: Ontology, philosophy of science, foundations of physics and mathematicsClaim: Structural and eliminative only; neither explanatory nor predictive