GT — Generative Theory - A Structural Framework for Emergent Reality

This publication presents a consolidated and structurally organized formulation of GT (Generative Theory), developed through a series of earlier exploratory publications concerning generativity, emergence, coherence, iteration, invariants, informational structure, and the foundations of reality. The present work is intended not as another isolated proposal, but as a synthesis and architectural clarification of the broader GT framework. Earlier developmental formulations included GTii (Generative Theory of Iteration and Invariants), Ilon Theory, and NUI (Non-Separable Universal Information). These earlier formulations are interpreted here as partial developmental stages converging toward the broader framework presented as GT. GT proposes a domain-independent structural framework for describing how coherent systems emerge, stabilize, persist, and transform. The framework is based on several core concepts: generativity, iteration, coherence, invariants, stabilization, emergence, and structural identity. Within GT, stable structures are interpreted as persistent coherences emerging from generative processesand iterative transformations. GT is not intended to replace existing scientific theories. Instead, it proposes a higher-level structural framework for understanding common principles of emergence and stabilization across different domainsof reality. Possible areas of application include: foundations of physics, cosmology, informational systems, biological organization, cognition, artificial intelligence, and complex adaptive systems. ATI-1 (A Categorical and Informational Foundation of Ilon Ontology) is presented as one possible formal mathematical realization of aspects of the GT framework using category theory and informational structures. This publication therefore serves both as: a summary of the exploratory developmental phase of GT, and an attempt to organize these developments into a more coherent theoretical architecture. GT remains an open framework intended for future mathematical, physical, informational, biological, cognitive, and technological development. Author: Waldemar Superson