Branches Do Not Exist

This paper develops a structural critique of the many-worlds interpretation of quantum mechanics (MWT). Using the ontological framework of Structure Theory, it demonstrates that branches, as posited by MWT, cannot exist. Four independent arguments are developed: a quantum superposition is one structural state, not a plurality of worlds; branching requires a transformation event that MWT's unitary dynamics cannot provide; quantum entanglement proves that the subsystems MWT treats as independent worlds share constitutive relations that preclude structural independence; and global unitarity is incompatible with the structural derivation of temporal order. The strongest existing defenses of MWT, including Wallace's emergence account and the parsimony argument, are examined and shown to fail on structural grounds. The paper concludes that branches are not merely unobservable. They are impossible.