**Autaxys and Autology: Definition, Rationale, and Implications (v2.0)** **Abstract:** Modern physics faces profound conceptual challenges, including the enigma of mass, the puzzle of energy, and the difficulty of unifying its disparate frameworks. This paper introduces **Autaxys** as a novel, foundational ontology asserting that fundamental reality is grounded in **autaxy**—an intrinsic, irreducible capacity for dynamic self-generation and organization. This inherent **autaxic** dynamism is perpetually driven by the **Autaxic Trilemma** (Novelty, Efficiency, Persistence) and enacted through the **Generative Cycle** upon the **Universal Relational Graph (URG)**. This framework proposes a **frequency-centric view of reality**, reinterpreting mass ($m$) as fundamentally equivalent to intrinsic frequency ($\omega$) ($m \propto \omega_C$) and physical phenomena as emergent patterns of information and relation. It is demonstrated how this ontology offers compelling explanatory power for unresolved mysteries in physics, such as the nature of the vacuum, the origin of mass, and the perceived discreteness and continuity of reality. The paper concludes by outlining specific, testable predictions derived from the **Autaxys** Framework, proposing a pathway for future empirical inquiry into the fundamental nature of reality, and establishing **Autology** as the interdisciplinary field dedicated to its study. --- ### **1. The Pillar of Logic: Internal Coherence and the Autaxys Framework** The first test of any proposed ontology is its internal consistency, its ability to stand without contradiction or recourse to external, unexplained priors. The **Autaxys Framework** posits an **autaxic reality**, fundamentally defined by intrinsic self-generation and self-organization. This inherent **autaxic** dynamism is perpetually driven by the **Autaxic Trilemma**, a fundamental and irresolvable tension among three interdependent principles: **Novelty** (the imperative towards creation, diversification, and exploration of possibilities), **Efficiency** (the selection pressure favoring stable, optimal, and minimal configurations, imposing constraints), and **Persistence** (the drive to maintain established structures, information, and coherence). This irreducible tension serves as the framework's core dynamic engine, ensuring logical self-containment and grounding reality internally through its continuous process of becoming and resolving this tension. This process ontology departs from traditional substance-based views, identifying **dynamic relational information**—structured patterns and real-time updates processed within the **Universal Relational Graph (URG)**—as reality's fundamental constituent. The URG serves as the operational substrate where the Trilemma's tension is continuously processed, giving rise to all observable phenomena. The systematic study of these self-generating dynamics across all scales and domains is termed **Autology**, conceived as an interdisciplinary field dedicated to understanding reality's intrinsic self-organization. The framework further resolves traditional philosophical dualisms by reinterpreting them as emergent properties of the fundamental relational dynamics processed within the URG. Apparent dichotomies such as physical reality (matter/energy), information/substance, and discrete/continuous are reconciled and understood as arising from the continuous interplay of the Trilemma principles as processed via the **Generative Cycle** (Proliferation $\rightarrow$ Adjudication $\rightarrow$ Solidification). For instance, phenomena perceived as Matter and Energy emerge within the URG through the Generative Cycle's processing as dynamic relational patterns distinguished primarily by their dominant influence from Persistence (leading to stability, inertia, lower processing rates) and Novelty (leading to flux, dynamism, higher processing rates), respectively. The information/substance dualism is resolved by asserting that dynamic relational information *constitutes* the fundamental ontological basis, rather than being merely an abstraction from substance. Furthermore, the discrete/continuous divide is reconciled by the Generative Cycle itself: Reality advances through fundamental, discrete computational steps (Adjudication and Solidification, which process the Trilemma's tension in the URG). While the underlying generative process is inherently discrete, the collective dynamics of macro-scale states and fields exhibit observable continuous characteristics. This allows quantum discreteness and emergent analog behavior to arise naturally from the same underlying generative process, profoundly enhancing the framework's internal consistency and logical coherence. ### **2. Foundational Ontology: Autaxys and the Frequency-Centric View of Reality** #### **2.1 Core Principles of Autaxys and the Universal Relational Graph (URG)** ** (Provide a comprehensive, detailed explanation of the Autaxys Framework as a proposed ontology. This should cover: its definition as an intrinsically self-generating and self-organizing reality; the Autaxic Trilemma (Novelty, Efficiency, Persistence) as its core dynamic tension and generative engine, establishing fundamental logical self-containment and circumventing infinite regress; its nature as a process ontology departing from substance-based views; the Universal Relational Graph (URG) as the operational substrate for this process, where dynamic relational information (structured patterns and real-time updates) is reality's fundamental constituent; how the framework resolves traditional dualisms (matter/energy, information/substance, discrete/continuous) by reinterpreting them as emergent properties of relational dynamics processed via the Generative Cycle (Proliferation -> Adjudication -> Solidification), emphasizing how quantum discreteness and emergent analog behavior arise naturally; the Autaxic Lagrangian ($\mathcal{L}_A$) as the computable objective function guiding URG evolution towards integrated Novelty, Efficiency, and Persistence; and the definition of Autology as the interdisciplinary study of Autaxys and its manifestations. Aim for a detailed philosophical and conceptual explanation, approximately 10-15 sentences, encapsulating the essence of the "Autaxys Defined" text.) ** #### **2.2 Frequency as a Fundamental Concept within the Autaxys/URG Framework** 2.2.1 Einstein's Mass-Energy Equivalence ($E=mc^2$) from a URG Perspective: Interpreting Energy as Dynamic Relation/Activity and Mass as Stable/Persistent Structure within the URG. This reflects **Autaxys' dynamic aspect (Novelty) yielding stable patterns (Persistence)**. ** (Elaborate on how $E=mc^2$ is reinterpreted: energy is the "doing" of the URG, mass is the "thing" that results from persistent doing. ~3-4 sentences)** 2.2.2 The Planck-Einstein Relation ($E=\\hbar\\omega$) as Describing URG Dynamic States and Quantized Excitations (Frequency Modes) Inherent to the Substrate's Oscillations. ** (Explain how $E=\hbar\omega$ is seen as describing the quantized "vibrational states" of the URG's dynamic substrate. ~3-4 sentences)** 2.2.3 Derivation of the "Bridge Equation": $mc^2 = \\hbar\\omega$ as an Equivalence Explicitly Derived from the URG's Fundamental Nature and the Proposed Interpretations of Mass and Energy as Stable and Dynamic Relational Patterns within this ontology. This derivation highlights the intrinsic connection between structure (mass) and its underlying dynamic frequency within the URG, serving as a key pillar for **Autaxys' physical manifestations**. ** (Describe the step-by-step derivation, emphasizing how it flows from the URG interpretation of energy and mass. ~4-5 sentences)** 2.2.3.1 Role of Planck's Constant ($\\hbar$) and the Speed of Light ($c$) as Intrinsic Scaling Parameters of URG Dynamics and Structure – Natural Units of the URG that Relate Frequency, Energy, Mass, Time, and Space within the Substrate, indicating the fundamental "grammar" of **Autaxys**. ** (Explain $\hbar$ as the quantum of action/change in the URG, and $c$ as the max propagation rate of URG relations, framing them as natural parameters of Autaxys. ~4-5 sentences)** 2.2.4 The Power of Natural Units ($\\hbar=1, c=1$): Revealing $m=\\omega$ as a Fundamental Identity within the URG Framework – Mass *is* Frequency, Representing the Intrinsic Oscillation or Processing Rate of a Stable URG Structure, and a profound expression of **Autaxys' pattern generation**. ** (Explain why natural units simplify the equation to highlight the core identity, reinforcing the idea of frequency as primary. ~3-4 sentences)** 2.2.4.1 Simplification of Fundamental Equations and Relationships, Highlighting the Core Identity between Mass and Frequency as Different Aspects of URG Patterns. ** (Briefly reiterate how the numerical simplicity in natural units reveals the inherent unity. ~1-2 sentences)** 2.2.4.2 Implications for the Fundamental Equivalence of Mass, Energy, and Frequency as Different Manifestations of URG Dynamic States (Energy, Frequency) and Stable Structures (Mass), stemming from **Autaxys' generative process**. ** (Elaborate on how this equivalence points to a unified underlying reality within Autaxys. ~2-3 sentences)** #### **2.3 Frequency as the Source of Mass: An Ontology-Driven Perspective Derived from Autaxys/URG** 2.3.1 Mass as a Stable Resonant State or Pattern of Quantum Fields (URG Excitations). ** (Introduce the concept of mass as a stable resonance, building from QFT and Autaxys. ~1-2 sentences)** 2.3.1.1 Particles as Stable Standing Waves or Resonant Patterns (Compton Frequency Modes) within the URG Substrate, maintained by **Autaxys' Persistence drive**. ** (Explain particles as persistent patterns in the URG, self-validating through their intrinsic frequency. ~3-4 sentences)** 2.3.1.2 Particle Mass Hierarchy as Corresponding to the Discrete Resonant Spectrum of Stable URG Excitations, Governed by **Autaxys' principles** of Stability and Persistence (Autaxic Principles) that Favor Certain Resonant Frequencies/Patterns. ** (Link the discrete nature of particle masses to preferred stable configurations within the URG's dynamics. ~2-3 sentences)** 2.3.2 The Dynamic Quantum Vacuum as the Universal Substrate (The URG). ** (Reiterate the nature of the vacuum as the active, informational URG substrate. ~1-2 sentences)** 2.3.2.1 Zero-Point Energy and Vacuum Fluctuations as Inherent URG Dynamics and Fundamental Information Content of the Substrate, reflecting **Autaxys' continuous Proliferation**. ** (Explain vacuum activity as fundamental URG "noise" or "exploration" driven by Autaxys' Novelty. ~3-4 sentences)** 2.3.2.2 Mass as Emergent Stable Excitations within the Vacuum/URG Substrate Governed by Autaxic Principles of Stability and Persistence Through Recursive Self-Validation of Relational Patterns (Solidification in the Generative Cycle). ** (Describe how mass "crystallizes" from vacuum activity under Autaxys' guidance. ~3-4 sentences)** 2.3.2.3 Reinterpretation of the Higgs Mechanism as the process by which stable URG relational patterns 'solidify' from the dynamic vacuum, with mass emerging as a measure of their persistence and intrinsic frequency (their Compton frequency), rather than interaction with a separate field particle, highlighting **Autaxys' pattern-solidification**. ** (Explain Higgs as a solidification process within the URG, not just a force carrier. ~3-4 sentences)** 2.3.3 Mass as Stable Information Structures and Intrinsic Processing Rate within the URG. ** (Summarize mass as an informational entity. ~1-2 sentences)** 2.3.3.1 Mass as the Intrinsic Informational Complexity and Operational Tempo/Frequency of the URG Structures Constituting a Particle, reflecting the **computational cost of Autaxys' Novelty**. ** (Elaborate on mass quantifying complexity and processing effort in the URG. ~3-4 sentences)** 2.3.3.2 Inertia as Resistance to the Alteration of Processing State or Resonant Pattern in the URG Structure, Requiring Energy to Change its Stable Frequency Configuration. This Resistance is Proportional to the Stability and Complexity (Mass) of the URG Pattern, linked to **Autaxys' Persistence**. ** (Explain inertia as the energetic cost of disrupting an Autaxys-stabilized pattern. ~3-4 sentences)** 2.3.3.3 Contrast: Massless Particles as Propagating Information Packets or URG Signals (e.g., Light as Transverse URG Waves Propagating Through the Substrate) Which Lack Stable, Persistent Resonant Structure Characteristic of Mass, indicating **Autaxys' transient patterns**. ** (Differentiate massless particles as dynamic but unstable URG patterns. ~2-3 sentences)** #### **2.4 Empirical Evidence Supporting a Frequency-Centric View Grounded in Autaxys/URG** 2.4.1 Radiation Pressure: Explaining Momentum Transfer as the Exchange of Frequency-Defined Energy Between Interacting URG Wave/Pattern Dynamics, consistent with **Autaxys' relational processing**. ** (Describe how this phenomenon illustrates energy/momentum as URG dynamics. ~3-4 sentences)** 2.4.2 Photoelectric Effect: Interpreting Quantized Energy Transfer Proportional to Frequency as Reflecting Interactions with Discrete URG Excitation States or Resonant Modes within the Substrate, highlighting **Autaxys' quantized nature**. ** (Explain how this supports discrete energy packets linked to URG excitations. ~3-4 sentences)** 2.4.3 Compton Effect: Understanding Energy-Momentum-Frequency Exchange in Scattering as Interactions Between URG Resonant Excitations (Particles/Photons) Viewed as Distinct Frequency Patterns, demonstrating **Autaxys' dynamic interactions**. ** (Connect this to interactions between URG patterns. ~3-4 sentences)** 2.4.4 Pair Production and Annihilation: Viewing Interconversion of Frequency-Defined Energy and Mass as URG State Transformations and Conservation Processes Between Dynamic (Energy/Propagating Frequency) and Stable (Mass/Stable Resonant Frequency) Configurations, reflecting **Autaxys' generative cycle of pattern formation and dissolution**. ** (Explain this as a direct manifestation of Autaxys' pattern dynamics. ~3-4 sentences)** 2.4.5 Gravitational Lensing and Redshift: Explaining Gravity's Influence on Light Frequency as URG Dynamics (Spacetime Curvature Interpreted as Changes in the Substrate's Relational Density or Activity Rate) Influencing the Propagation Frequency of URG Waves (Photons), linking gravity to **Autaxys' inherent optimization of relational density**. ** (Describe gravity as a property of the URG's geometry and dynamics. ~3-4 sentences)** 2.4.6 Casimir Effect: Interpreting Forces from Vacuum Fluctuations and Resonant Modes as Direct Evidence of URG Vacuum Structure and Dynamics, Where Boundary Conditions Affect Permissible Resonant Patterns, validating **Autaxys' dynamic vacuum**. ** (Explain how Casimir demonstrates the active, structured nature of the URG vacuum. ~3-4 sentences)** 2.4.7 Atomic and Molecular Spectra: Viewing Discrete Frequency Emissions/Absorptions as Evidence of Quantized Resonant States within URG Structures (Atoms/Molecules), Reflecting Stable Energetic Configurations Allowed by Underlying URG Dynamics and Constraints, reinforcing **Autaxys' pattern stability**. ** (Connect atomic energy levels to stable URG patterns. ~3-4 sentences)** ---