Wave Mechanics and General Relativity: A Rapprochement

TL;DR

This paper proposes a unified geometric framework that treats waves and particles as manifestations of the same underlying structure, aiming to address the wave-particle duality problem.

Contribution

It introduces a novel approach using exact solutions to unify wave and particle descriptions within a geometric context.

Findings

Waves and particles can be represented by the same geometric entities.

The approach offers a potential resolution to wave-particle duality.

Exact solutions support the unification hypothesis.

Abstract

Using exact solutions, we show that it is in principle possible to regard waves and particles as representations of the same underlying geometry, thereby resolving the problem of wave-particle duality.