Relational Existentialism The Non-Connection Axiom: A Structural Foundation for Relational Existentialism

This paper proposes Relational Existentialism, a new structural foundation for existential and ethical theory, predicated on the Non-Connection Axiom. The axiom states that Existence A and Existence B can never directly connect; subjects are structurally barred from accessing the genuine inner reality of another. Instead, interaction occurs solely through the Relational Existence (B@A), defined as the overlap (or "seam") created by B's external manifestation and A's interpretive code. Crucially, the paper argues that this B@A becomes an entirely independent, third entity the moment it leaves B's hand, proceeding to possess an autonomous existence regardless of B's true inner state. This theory shifts the focus of ethics from the pursuit of impossible connection (empathy/true understanding) to the inescapable responsibility one bears towards the independent, observable entity B@A—even if this entity contradicts the inaccessible truth of B. In doing so, the structure logically formalizes the Ethic of Sisyphus: moral action is not about achieving perfect knowledge, but about maintaining integrity and response within a structurally desperate, non-connected reality. This framework provides a rigorous basis for rethinking relational ethics and existential responsibility.