The Banach-Tarski Paradox: A Resolution via Saladini's Theorem

This paper resolves the Banach-Tarski Paradox by applying the Saladini Theorem to the decomposition of solids. It proves that the paradox is irrelevant for agents with finite manipulation capacity.-Finite Capacity: No agent can process or manipulate an infinite number of infinitesimal parts.-Logical Nullification: Contradictions from infinite divisibility are non-operational for finite observers.-Systemic Collapse: The paradox collapses entirely within the finite comprehension domain.