Is Wave Mechanics consistent with Classical Logic?

TL;DR

This paper demonstrates that wave mechanics can be fully consistent with classical logic through an exact ray-based approach derived from the Helmholtz equation, challenging common beliefs about wave behavior and the Uncertainty Principle.

Contribution

It provides an exact, ray-based treatment of monochromatic wave phenomena using the Helmholtz equation, showing consistency with classical logic.

Findings

Exact ray-based treatment for diffraction and interference

Disproof of the necessity of the Uncertainty Principle for wave descriptions

Wave mechanics can be interpreted with classical logic

Abstract

Contrary to a wide-spread commonplace, an exact, ray-based treatment holding for any kind of monochromatic wave-like features (such as diffraction and interference) is provided by the structure itself of the Helmholtz equation. This observation allows to dispel - in apparent violation of the Uncertainty Principle - another commonplace, forbidding an exact, trajectory-based approach to Wave Mechanics.