The Instability of Nothingness

I present three formally distinct results concerning Absolute Nothingness (N∅), each employing the self-referential structure of Cantor's diagonal argument. Theorem 1 establishes that N∅ cannot be coherently characterised in any framework capable of postulating it. Theorem 2 establishes that a state containing exactly one static distinction cannot be coherently characterised as permanently fixed. Together they yield a Corollary (conditional on Axiom A2 and CC+) that the fundamental state of reality must contain at least one dynamic distinction that is, Process. I formalise the connection between distinction and information, showing that the minimal coherent state corresponds to at least one bit of dynamic information in the sense of Shannon. I prove that the strengthened closure condition CC+ required for Theorem 2 is not an independent assumption but a necessary consequence of any framework expressive enough to formulate the hypothesis Theorem 2 tests. The paper marks explicitly, using a three-tier epistemic status system, the boundary between what is formally proven, what is conditional on a stated axiom, and what remains hypothesis. A companion paper Rodriguez Suarez, 2026b develops the physical consequences of these results.