top of page
Abstract Futuristic Background

Operational Force Law

Emergence of order, persistence and awareness in complex chaotic systems. “The Operational Force Law,” states that these events arise only when a specific product of four named factors: Selection, Synchrony, Integration and Persistence remain above a threshold for a sustained period of time. I demonstrate the law’s validity across diverse domains including Boolean networks, bees’ colonies and Bra and quantum systems. Notably, the law successfully distinguishes genuine emergence from illusory patterns in all test scenarios, including adversarial counterexamples.  In this paper I also strengthened the framework with additional criteria to distinguish authentic self-organizing systems from engineered, fake and/or trivial patterns. The Operational Force Law offers a quantitative approach to identifying and measuring emergent phenomena across physical, biological, and informational systems. Results supply a diagnostic toolkit for researchers seeking reliable, cross-domain methods of formalizing emergence in measurable terms. The Operational Force Law opens a path toward predictive control of complex physical, biological and informational systems.

Opfpdf.png
bottom of page