The Universal Formula: Axiomatic Framework for Systems, Decision-Making, and Balance

Abstract This paper presents the Universal Formula, a set of four axioms that provide a complete and exact framework for understanding natural, cognitive, and social systems. Derived theorems and corollaries demonstrate how these axioms resolve the long-standing problem of free will, explain societal dysfunctions, and establish principles for education, leadership, and artificial intelligence. The framework unifies classical and modern system theories while extending them to cognitive and social domains.