From Collapse Algebra to the General Principle of Reality: Foundations, Evidence, and Simulations

This article develops the framework of Collapse Algebra as a formalism for describing how probabilistic states reduce to unique outcomes under environmental restrictions (EP1) and intentional agents. Building on previous results, the work introduces geometric representations, entropy measures, and computational simulations to demonstrate the progressive narrowing of the feasible state space until collapse. The model is then expanded toward the General Principle of Reality, where both physical and social phenomena are understood as manifestations of entropic reduction constrained by coherence and intentionality. Evidence from simulations and analogical models (dice, cubes, coin tosses) supports the theoretical proposal, while applications range from accident prediction and complex system optimization to philosophical debates on determinism and free will. By integrating algebraic reduction, geometric trajectories, and informational entropy, this study offers a unified interpretive path bridging quantum phenomena, classical events, and human agency.