Computational Foundations of Model-Relative Realism: A Study in Axiomatic Simulations

This record contains a speculative, axiomatic study exploring model-relative realism through a computationally instantiated toy universe, together with an accompanying MATLAB simulation implementing the model’s constitutive rules. The paper analyzes how law-governed update rules, conservation constraints, and formal state transitions give rise to internally consistent dynamics within a closed computational system. The simulation operationalizes these rules using standard numerical methods (Euler integration and Newtonian force summation) to demonstrate internal coherence and formal executability. All entities and mechanisms appearing in the model—including exotic energy, non-local transitions, and advanced systems—are defined strictly as formal constructs within the simulation. This work does not claim experimental validation or direct correspondence with known physical systems. Instead, it investigates conditional plausibility and internal consistency under explicitly stated axioms. The combined paper and code are intended as a theoretical and philosophical feasibility study, illustrating how simulations can function as controlled laboratories for examining law-like behavior, model-relative ontology, and the stability of speculative dynamical systems