Unified Theory of Wave-Particle Duality, the Schr\"odinger Equations, and Quantum Diffraction

TL;DR

This paper presents a unified theory explaining wave-particle duality, derives the Schrödinger equations from it, and introduces a new theory of quantum diffraction, resolving longstanding paradoxes in quantum physics.

Contribution

It introduces a unified theory of wave-particle duality that enables a direct derivation of the Schrödinger equations and proposes a novel theory of quantum diffraction.

Findings

Unified theory explains wave-particle duality.

Direct derivation of Schrödinger equations from the theory.

New theory provides insights into quantum diffraction phenomena.

Abstract

Individual quantum objects display inseparable coexisting wave-like properties and particle-like properties; such inseparable coexistence can seem paradoxical and mind-boggling. The apparent paradox is resolved by the unified theory of wave-particle duality developed in this paper. Based on the unified theory of wave-particle duality, a straightforward derivation of the Schr\"odinger equations is presented where previously no such derivation was considered to be possible. A new theory of quantum diffraction is subsequently developed.