The theory of Universal Belonging

The Theory of Universal Belonging (TUB) proposes an ontology of coexistence based on a transposition of an arithmetic fact into a metaphysical principle: to belong is not simply to be included, but to maintain an equilibrium of reciprocal irreducibility. In arithmetic, two entities are said to be co-prime when they do not share any common factor; no one “decomposes” the other. This structural indivisibility is not a mere algebraic curiosity — it is the minimal condition for a stable coexistence between distinct entities. Transposed to being, this observation becomes a law of stability: an element belongs to a stable universe if it resists decomposition by the other elements and if it refrains in return from decomposing them.
The paradigmatic model is the universe of prime numbers: each prime is indivisible beyond 1 and itself, and no prime divides another. Their coexistence is not fusion, nor hierarchy, nor negotiated complementarity — it is a plurality sustained by mutual structural resistance. On this model, the TUB formalizes the idea of rank equilibrium, an ontological invariant measuring the contribution of a being to the stability of the whole. The rank of an element is not its weight or hierarchical importance, but its capacity to persist without reducing others and without being reduced by them. A universe is said to be stable when its elements collectively satisfy this condition: each one holds, and this holding is precisely what enables the others to hold in turn.
This recasting leads to a reconsideration of the theory of relationship, the politics of plurality, and the engineering of systems — both technical and social — from the perspective of mutual stability through non-reduction. In relational philosophy, it shifts the emphasis from complementarity, which risks dissolution through adjustment, toward non-mutual reduction as the primary condition of authentic belonging. In political philosophy, it offers an alternative to contractualist models: plurality is not regulated by agreement on shared rules, but guaranteed by the structural resistance of each entity to homogenization. In systems engineering, it proposes a criterion of robustness: a system is sound not merely because its components cooperate, but because none of them can be absorbed or neutralized without the whole losing an irreplaceable dimension.
Belonging, thus understood, is not inclusion. It is permanence within shared resistance.​​​​​​​​​​​​​​​​