Abstract The classical paradoxes of motion proposed by Zeno of Elea rest on the assumption that spatial and temporal processes can be described through the division into infinitely small units. This idealization leads to apparent contradictions when mathematical divisions are interpreted as physically meaningful steps. The present work analyzes the Dichotomy and the Arrow Paradox from an operational perspective, which binds physical statements to their determinability by measurement procedures. It is shown that below the Planck scales no operatively distinguishable states are available and that motion is defined only over finite, measurable time intervals. Under these conditions, the paradoxes lose their argumentative force without assuming a discrete model of spacetime or modifying classical mechanics. The operational perspective thus provides a consistent framework that resolves the paradoxes while emphasizing the central role of measurability in the physical description of space and time.
Sebastian Mewe (Wed,) studied this question.