Organic Mathematics: A Semantic Framework for Modeling Organic Systems

Organic Mathematics (OM) introduces a novel semantic framework designed to model the complexity of living and emergent systems. Traditional mathematical tools excel at describing linear, closed, and deterministic processes, but they struggle to capture the cyclical, recursive, and adaptive nature of organic phenomena. OM redefines variables as interdependent cycles, employs operators for influx and emergence, and uses context-driven notation to formalize the flux of biological, ecological, and social systems. Applications of OM are demonstrated through abiogenesis modeling, competitive exclusion dynamics, and the construction of sociological feedback loops. By bridging the gap between classical formalisms and the fluidity of life, Organic Mathematics offers a unifying language for systems that evolve through emergence rather than equilibrium.