**Abstract**

Global Optimization in the 4D nonlinear landscape generates kinds and types of particles, waves and extremals of power sets and singletons. In this chapter these are demonstrated for ranges of optimal problem-solving solution algorithms. Here, *onts*, particles, or atoms, of the ontological blueprint are generated inherently from the fractional optimization algorithms in Metaheuristic structures of computational evolutionary development. These stigmergetics are applicable to incremental machine learning regimes for computational power generation and relay, and information management systems.

**Keywords:** metaheuristic, particle swarm optimization, global optimization, machine learning, evolutionary algorithms, stigmergetics, arrow's paradox, atomistics, Fermat's last theorem, network theory, Hensellian mathematics
