The Existence Threshold: A Framework for Pattern Persistence in Binary Discrete Systems

The Existence Threshold (v2.1) builds on a statistically significant framework for understanding pattern persistence in complexity science. Using the corrected formula Φ = R·S + D, this work validates that disorder is a necessary component of existence. Features comprehensive experimental success across ten cellular automata systems, establishing testable predictions for self-organization, emergence, and entropy in binary discrete environments. Keywords: Existence Threshold, cellular automata, pattern persistence, binary discrete systems, self-organization, emergence, complexity science, information theory, system integration, thermodynamic entropy, Conway's Game of Life, dynamical systems, state transitions, reproducibility, implementation details, experimental validation, statistical significance, domain boundaries, consciousness hypothesis, cosmological expansion, dark energy mechanism, recursive processing, integrated information theory