Cognitive Simulator and Subjective Physics: Entropy as a Cognitive Projection

We present a cognitive simulator based on a categorical observer formalism and analyze entropy as a function of representational granularity. The simulation demonstrates the emergence of phase-like transitions in cognitive entropy under scale deformations, supporting the hypothesis of Subjective Physics. All results are obtained from theoretically constructed simulations without external data. The model adheres to physical principles, including entropy bounds and thermodynamic limits, ensuring consistency with established laws of information physics. All results are obtained from simulations validated against fundamental physical constraints.