Beyond Convergence: Zeno’s Dichotomy and the Physical Constitution of Motion
On the standard mathematical treatment, convergence resolves Zeno’s dichotomy as a problem about completing an indefinitely subdivided continuous trajectory in finite time: no final halfway stage is required. This paper isolates a further physical question: does the arbitrary divisibility of a successful continuum representation imply corresponding divisibility of the physical history represented? It distinguishes descriptive divisibility from physical divisibility and uses representational surplus for interpolating structure in an effective description that need not correspond one-to-one with fundamental physical stages. The Finite Constitution Hypothesis proposes that every physically realised causal interval contains only finitely many fundamental events, while elementary succession occurs when no event lies causally between two related events. A Zeno Reconstruction Test introduces ontological saturation under nested refinements. The proposal is not presented as established physics, but as a framework for separating continuum representation from physical constitution.