Paths of Least Time for Quantum Scale and a New Geometrical Interpretation of Light Diffraction

TL;DR

This paper proposes a geometrical interpretation of light diffraction at the quantum scale using fluctuating geodesics, offering an alternative to wave theory and explaining interference phenomena through paths of least time.

Contribution

It introduces a novel geometrical model based on fluctuating geodesics to explain light diffraction without wave theory, bridging particle and wave-like behaviors.

Findings

Geometrical interpretation aligns with observed diffraction patterns

Explains interference phenomena through paths of least time

Reconciles particle nature of light with diffraction effects

Abstract

In this paper, a geometrical interpretation of light diffraction is given using an infinity of fluctuating geodesics that represent paths of least time in an homogeneous space. Without using the wave theory, we provide a geometrical explanation of the deviation of light's overall direction from rectilinear when light encounters edges, apertures and screens, which reconciles light particle-like nature with the interference phenomena.