The Electron's Wave-Particle Duality as Continuous Sliding of the Energy Ratio η

The wave-particle duality of the electron is reinterpreted within Energy-Efficiency Theory (EET) as a continuous sliding of the energy ratio η = E˙ resp/E˙ main. In an atomic orbital, the electron is maintenance-dominated (η ≪ 1), exhibiting particle like localization. As a free wave packet, it is response-dominated (η ≫ 1), exhibiting wave-like delocalization. We derive the scaling relation ∆x ∝ η −1/2 from the exact solution of the modified Schr¨odinger equation and show that the Heisenberg uncertainty principle is preserved for all η. We propose an experimental protocol to continuously tune η using external microwave fields, thereby continuously controlling the electron’s interference visibility. Three falsifiable predictions are presented with explicit experimental designs, statistical criteria, and falsification conditions.