AUTX D-P6.2-2/4: Autaxys Formalisms/Formal Toolkit
The Autaxys framework introduces a fundamental reorientation of ontological perspective, moving decisively away from the traditional view of a universe comprising elementary, independently existing entities (particles, fields, strings, etc.) embedded within a pre-existing spacetime arena, governed by immutable, externally imposed laws derived from observation. In stark contrast, Autaxys proposes a universe fundamentally understood as a dynamic, self-organizing, self-consistent network of attributed relations undergoing continuous computation. This framework seeks to provide a generative, first-principles explanation for the emergence of observed physical reality in its entirety, encompassing its intricate structure across all scales, its fundamental dynamics, the properties of its constituents, the nature of its forces, and even the fabric of spacetime itself. This emergence is driven by a process of iterative relational processing and emergent self-consistency, guided by a fundamental principle of maximizing "existential fitness" or "relational aesthetics" within a continuously evolving attributed graph structure. The Autaxys hypothesis posits that the universe's observed regularities, its fundamental particles and forces, the emergent properties of spacetime, and the very "laws" that govern their behavior are not axiomatic irreducible primitives or externally imposed constraints. Rather, they arise intrinsically and dynamically from the iterative transformations of this fundamental relational substrate, governed by an underlying optimization principle. Specifically, the central hypothesis is that a sufficiently simple, minimal, and precisely defined set of initial principles governing this substrate and its dynamics – collectively termed an "Autaxys Configuration," acting as a cosmic "seed" or "algorithm" – can computationally generate the complexity, specificity, and fine-tuning characteristic of the physical universe. This generative approach stands in sharp contrast to traditional descriptive or inferential methodologies that model reality by postulating fundamental entities and laws based on observed patterns. Autaxys aims instead to *derive* the observed patterns, the fundamental constituents, and the effective laws of physics *from* the generative principles, thereby illuminating *why* reality takes its specific form, rather than merely describing *what* it is or *how* it behaves according to pre-defined, observationally inferred rules. It represents a form of computational natural philosophy dedicated to identifying the minimal generative principles – the simplest "source code" – capable of producing the observed universe as a preferred, stable, and highly fit outcome of a fundamental computational process, akin to discovering the most parsimonious algorithm that compiles into the complex and specific universe we perceive. The transition from a high-level conceptual framework (v1.9) to a formal, rigorous, and computationally grounded theory (v3.0) is a critical step towards rendering this hypothesis scientifically testable, amenable to large-scale computational simulation, and ultimately subject to empirical validation and potential falsification. This document formally defines the core postulates, derived concepts, and central hypothesis of the v3.0 framework, serving as the theoretical foundation and operational blueprint for all subsequent modeling and empirical validation efforts. It systematically outlines the fundamental ontology (P1) based on an attributed relational graph, the fundamental dynamics (P2) as a graph rewriting system, the fundamental state selection principle (P3) driven by Autaxic Lagrangian optimization, and the nature of emergent phenomena (DC1-DC4), including stable patterns, their quantifiable properties (AQNs), self-maintenance (Ontological Closure), and the intrinsic drive towards complexity and diversity (Exploration Drive). These foundational elements culminate in the central hypothesis (H1), which links these principles to the generation and properties of observed physical reality (H1.1-H1.5). This framework represents a unified attempt to derive the entire spectrum of physical reality, from fundamental particles and forces to spacetime and cosmology, from a minimal set of generative axioms rooted in relational processing and emergent self-consistency guided by a principle of existential fitness. The philosophical implications of this generative, relational ontology are profound, challenging traditional notions of substance, locality, and the nature of physical law, suggesting that reality's essence lies not in static things or external rules, but in dynamic, attributed relationships and the computational process of their evolution towards preferred states of coherence and fitness.
Rowan Brad Quni-Gudzinas