On the wave nature of matter: A transition from classical mechanics to quantum mechanics

TL;DR

This paper proposes that matter waves are real physical fields, unifying classical and quantum mechanics, and offers a new physical interpretation of the quantum wave function with implications for understanding the universe's matter composition.

Contribution

It introduces a physical field-based model of matter waves, unifying quantum and classical mechanics, and reinterprets the wave function as a real physical excitation mode.

Findings

Matter particles are excitation waves of real physical fields.

Different particles are excitation modes of the same underlying field.

Quantum wave equations share a common basis related to the Basic Wave Equation.

Abstract

Following the spirit of de Broglie and Einstein, we think the concepts of matter and radiation can be unified. We know a particle propagates like a wave; its motion is described by certain wave equations. At this point, it is not clear what the wave function represents. Besides the statistical meaning suggested by the Copenhagen interpretation, does the wave function represent any physical motion? For photon, we know it is an electro-magnetic wave. But what about particles with rest mass, such as an electron? To investigate the physical nature of matter wave, we propose that: (1) Like the photon, a particle is an excitation wave of a real physical field. (2) Different types of particles are different excitation modes of the same field. Based on this thinking, we show that the concept of quantum mechanics can be a natural extension of classical mechanics. By critically analyzing the transition from classical physics to quantum physics, we found a new physical meaning for the quantum wave function. This work suggests that various quantum wave equations, including the Klein-Gordon equation, the Dirac equation and the Schrodinger equation, could have a common base relating to the Basic Wave Equation of the matter wave. This work has some interesting implications. It suggests a possible way to explain the origin of visible matters and dark matters in our universe.