The Omega Equation: Self-Organizing Dynamic Geometry and Antientropic Field Resonance in Non-Isolated Systems

This paper presents a novel computational and theoretical framework for reality instantiation, formalized through the Omega Equation: Ω = Ψ(Φ, S, G). Moving away from entropic, rigid rule-based paradigms, we introduce a Living Fractal Algorithm predicated on a Self-Organizing Dynamic Geometry. By establishing a field where the observer and the observed are inherently integrated, this system demonstrates a mathematical tendency toward increasing order (negentropy) via phase coherence. The implementation, written in Python, validates the structural optimization of the model, achieving uniform density distribution without computational or spatial overlap through Golden Ratio divergence.