The Theory of Universal Belonging

This article presents the Theory of Universal Belonging (LAU), an ontology of coexistence derived from a philosophical interpretation of arithmetic coprimality. We argue that an entity’s belonging to a stable universe is not a passive condition (mere inclusion) but an active relation of equilibrium and reciprocal irreducibility. The theory posits that a being belongs to a stable universe only if it is not decomposable by its elements and itself does not decompose any of them. The article illustrates this principle through the universe of prime numbers and extends the concept to define a new rank equilibrium that underlies all structural stability.