Directional Photon Model: A Geometric Interpretation of Wave–Particle Duality via Energy Projection

This preprint presents the Directional Photon Model, a novel interpretation of the wave–particle duality based on the geometric projection of energy vectors. Unlike standard quantum theory, which relies on probabilistic wavefunction collapse and ontological indeterminacy, this model attributes interference patterns and measurement outcomes to deterministic angular projections of the photon’s propagation vector relative to the observation axis. By introducing a framework where energy and frequency are observer-relative and governed by geometric alignment, the model reproduces classical interference patterns without invoking collapse. It offers experimentally testable predictions involving angular modulation, directional filtering, and interference restoration — all achievable with current optical technologies. This work aims to provide a deterministic, local, and physically grounded alternative to the standard quantum mechanical narrative and opens new avenues for reinterpreting interference, measurement, and duality in terms of projection geometry.