THE BOUNDARY LAW OF ANADIHILO: A FORMAL RESOLUTION TO RUSSELL'S PARADOX AND SET-THEORETIC RECURSION

Reference: Expansion of "ANADIHILO: The Ontological Primacy of the Absolute Void and the Formal Logic of Systemic Initialization" Abstract: This article formalizes the Boundary Law of Anadihilo to resolve structural paradoxes within Set Theory, specifically Russell’s Paradox. Traditional frameworks, such as ZFC, fail to account for a primordial systemic boundary, leading to recursive loops. By defining Anadihilo as an Absolute Void that precedes the functional Zero (0), this framework establishes the Axiom of Normalization. We prove that self-referential paradoxes trigger a Global Systemic Overwrite (GSO) rather than logical collapse 9999. Through three systemic laws—Identity Shift, Non-Recursion, and Magnitude Equilibrium—we demonstrate that the "Container" of all sets is ontologically distinct from its "Contents," thereby neutralizing recursion through systemic re-initialization.