Random Field Quantization Method

TL;DR

This paper introduces a classical statistical model called the Random Field Quantization Method that aims to explain key quantum phenomena, including energy quantization and wave-particle duality, through a physical underlying framework.

Contribution

It presents a novel classical statistical approach with an underlying physical model that reproduces quantum characteristics like energy levels and interference patterns.

Findings

Reproduces discrete energy levels of harmonic oscillator and potential well.

Provides a qualitative explanation of the double-slit experiment.

Emerges a constant with an action dimension as a side effect.

Abstract

Today it still remains a challenge whether quantum mechanics has an underlying statistical explanation or not. While there are and were a lot of models trying to explain quantum phenomena with statistical methods these all failed on certain levels. In this paper a method is proposed that is not only based on a classical statistical framework but it has an underlying physical model behind it and it can explain some of the basic characteristics of quantum mechanics. It will be shown that if look at the properties of a charged particle in a random electric field one can obtain the discrete energy values of the harmonic oscillator and the infinite potential well, and also gives a good qualitative description of the double-slit experiment and measurement theory. Also the side-effect of the model is the emergence of a constant with an action dimension.