A Rotating-Frame, Projection-Based Interpretation of Wave–Particle Duality: A Park–Clarke Analogy for Physical State Representations

This paper presents a geometric, projection-based reinterpretation of wave–particle duality using a rotating reference-frame framework inspired by Park–Clarke transformations. The apparent dual behavior of quantum systems is shown to arise from projections of a single underlying state vector onto different axes of an abstract state space, rather than from a physical change in the system itself. By distinguishing between fixed laboratory frames and co-rotating analysis frames, oscillatory (wave-like) quantities can be rendered stationary (particle-like), providing a unified representational interpretation consistent with standard quantum mechanics. The framework offers a compact and intuitive bridge between wave interference, particle invariants, and system-level state representations.