Structural Determination Axioms (SDA): A Representation-Independent Axiomatic Framework

This work introduces the Structural Determination Axioms (SDA), a representation-independent axiomatic framework intended as the foundational basis of the Structural Depth research program. Rather than proposing a domain-specific model, SDA defines a minimal ontological vocabulary and a compact set of axioms from which structural determination can be described independently of any particular mathematical representation. The framework is designed to support multiple realizations, including category theory, graph theory, topology, logic, and future formal systems. This publication is intended as a foundational theoretical contribution. Subsequent works will develop the mathematical formalism, applications, and domain-specific realizations of the SDA framework. Author Resources Research website: https://marketalchemy.io Author publications and books: https://www.amazon.com/author/higuven Additional research outputs, preprints, and datasets are published through the author's Zenodo profile and related scholarly repositories.