Observer Theory and the Ruliad: An Extension to the Wolfram Model

Authors:

• Sam A. Senchal

Abstract:

This paper presents an extension of Observer Theory within the context of the Ruliad, using a mathematically rigorous formalisation with category theory as the unifying framework. This paper demonstrates how the interaction between Observers and the Ruliad can give rise to hierarchical domains of reality through sampling constraints, information integration, and entropy reduction. By formalizing the Observer as an active agent that samples and integrates information across different domains, we provide a novel approach to understanding consciousness, causation, and the nature of reality within a computational framework. The framework reconciles discrete computational structures with apparently continuous Observer experiences, addresses the causal relationship between different domains of reality, and provides a foundation for understanding qualia through information integration within the Ruliad. We conclude with empirical predictions and applications across physics, cognitive science, and artificial intelligence.