Reality as Structure: A Unified Ontology of Manifolds, Gradients, and Alignment

Reality as Structure: A Unified Ontology of Manifolds, Gradients, and Alignment develops a structural metaphysics in which reality is constituted by manifolds, gradients, and alignment relations rather than substances, objects, or discrete entities. It argues that appearance, identity, agency, and coherence emerge from the interaction of manifold topology and gradient dynamics, providing a unified account of how structure becomes experience. This ontology explains physical, cognitive, and phenomenological phenomena through the same underlying operators, showing how alignment generates stability, how gradients generate change, and how manifolds generate the conditions for intelligibility. The result is a substrate‑independent framework that reframes metaphysics as the study of structural relations and their emergent patterns, offering a coherent alternative to substance‑based and representational ontologies.