Autaxic Table of Patterns: Unified Generative Framework

This document presents the Autaxic Table of Patterns as a unified generative framework for fundamental physics, rooted in the principle of ontological closure (OC). Addressing limitations in current models, it posits that reality emerges from the dynamic interaction of fundamental distinctions (D) and relations (R), each possessing inherent proto-properties. This interaction is governed by a minimal Cosmic Algorithm. The framework proposes that only configurations of D and R that achieve stable, self-consistent existence through internal coherence are permitted to persist as stable patterns. Physical properties like mass, charge, and spin are not fundamental inputs but are proposed to be derived characteristics of these patterns, classified by intrinsic Autaxic Quantum Numbers (AQNs). This framework offers a generative explanation for the origin of mass, energy, forces, gravity, spacetime, and the particle spectrum, viewing the universe as a self-organizing relational computation. It suggests a fundamental layer of reality as a dynamic network of relational processing, where the vacuum state (S₀) is a probabilistic exploration landscape. Guiding principles like relational aesthetics and an economy of existence are hypothesized to shape this process. The framework also explores quantum phenomena, the nature of consciousness (S₇), and the potential for algorithmic self-modification of the Cosmic Algorithm itself. The Autaxic Table maps the phase space of stable patterns, revealing the universe as a dynamic trajectory shaped by the drive for ontological closure.