Autaxys, as a theoretical framework presented by Rowan Brad Quni, is still in its early stages of development and has not yet been widely adopted or rigorously peer-reviewed within the mainstream scientific community. Therefore, much of it remains "unexplored" in the sense that its implications and potential applications haven't been fully fleshed out or tested.
Here are some of the key unexplored areas and directions for development that would need to be addressed for Autaxys to gain wider acceptance and utility:
1. Formal Mathematical and Computational Rigor:
* Detailed "Cosmic Algorithm": The concept of a "minimal Cosmic Algorithm" is central. This needs to be precisely defined mathematically. What are the specific rules of interaction between distinctions and relations? How do these rules lead to the emergence of complex patterns?
* Derivation of Fundamental Constants: If physical properties are derived from "Autaxic Quantum Numbers (AQNs)," the theory needs to show how these AQNs give rise to the precise values of fundamental constants (e.g., speed of light, Planck's constant, gravitational constant, electron charge, fine-structure constant). This would be a crucial test of its predictive power.
* Quantum Mechanics and General Relativity Integration: Autaxys claims to offer a generative explanation for mass, energy, forces, gravity, and spacetime. This implies a potential unification of quantum mechanics and general relativity. The mathematical framework needs to demonstrate how this unification occurs within its relational processing model.
* Predictive Power and Testable Hypotheses: For any scientific theory, testable predictions are paramount. What specific, observable phenomena does Autaxys predict that are different from existing theories? How can these predictions be verified experimentally or observationally?
2. Detailed Explanations for Known Phenomena:
* Particle Spectrum and Standard Model: While it mentions classifying physical properties by AQNs, Autaxys needs to provide a detailed, step-by-step derivation of the particles in the Standard Model (quarks, leptons, bosons) and their properties (masses, charges, spins, interactions) from its fundamental relational principles.
* Emergence of Spacetime and Gravity: How exactly do space and time emerge from relational processing? How does the "ontological closure" principle lead to the curvature of spacetime as described by general relativity?
* Cosmology and the Big Bang: How does Autaxys explain the origin and evolution of the universe, including the initial conditions, inflation, cosmic microwave background, and large-scale structure formation? Does it offer an alternative to or a deeper explanation for the Big Bang?
* Dark Matter and Dark Energy: These remain major puzzles in conventional physics. How does Autaxys account for their existence and properties?
3. Philosophical and Conceptual Development:
* Definition of "Distinction" and "Relation": While central, the precise nature of these fundamental elements needs further philosophical and logical clarification. Are they purely abstract, or do they have some proto-physical existence?
* "Self-Ordering, Self-Arranging, Self-Generating": While conceptually appealing, the mechanisms by which this self-organization occurs need to be rigorously detailed. What drives this intrinsic ordering?
* Epistemological Implications: If reality is fundamentally relational and pattern-based, what does this imply for our ways of knowing and observing the universe? How does this impact the role of the observer in quantum mechanics?
* Comparison to Existing Theories: A thorough comparative analysis with established theories (e.g., string theory, loop quantum gravity, holographic principle, emergent gravity theories) is necessary to highlight its unique contributions, advantages, and potential overlaps.
4. Bridging to Higher-Level Phenomena:
* Complexity and Emergence: Beyond fundamental physics, how does Autaxys explain the emergence of complex systems, chemistry, biology, and even consciousness from its basic principles? While it might be a grand vision, a theoretical pathway for such emergence would strengthen its claims.
5. Community Engagement and Peer Review:
* Open Publication and Scrutiny: For any scientific theory to gain traction, it needs to be published in peer-reviewed journals and subjected to critical examination by the broader scientific community. This process helps to identify weaknesses, refine concepts, and build consensus.
* Collaborative Research: The development of such a comprehensive theory would benefit immensely from collaborative efforts among physicists, mathematicians, computer scientists, and philosophers.
In summary, Autaxys presents a bold and intriguing vision of a self-organizing universe. However, to move beyond a conceptual framework, it requires extensive development in its mathematical formalism, concrete predictions, and rigorous explanations for observed phenomena. It needs to demonstrate how its fundamental principles can quantitatively reproduce and extend our current understanding of physics, rather than just offering a new qualitative narrative.