Coherent Kinematics in Modal Triplet Theory: Position, Motion, and Chart-Persistence of Coherent Structures

This paper develops a kinematic framework for Modal Triplet Theory in which position and motion are defined without assuming a background spacetime or fundamental notion of transport. Coherent structures are characterized by their persistence across overlapping admissible charts, and motion is identified with chart-to-chart representability rather than trajectories in a configuration space. Worldlines arise as equivalence classes of chart persistence, while their termination corresponds to merge–split events or loss of admissible continuation. The framework introduces no new dynamics or axioms and clarifies how effective spacetime kinematics emerges, terminates at horizons, and exhibits irreversibility as a consequence of representability constraints.