Walking Wave as a Model of Particle

TL;DR

This paper introduces the walking wave concept from classical relativistic physics, proposing it as a model that links wave and particle properties, offering a new perspective on wave-particle duality.

Contribution

It presents a novel model of particles as walking waves, connecting wave characteristics with particle properties through classical relativistic equations.

Findings

Wave characteristics like de Broglie and Compton wavelengths are derived from walking wave parameters.

Particle energy-momentum and rest mass are expressed via walking wave parameters.

The model offers a new conceptual framework for wave-particle duality.

Abstract

The concept of walking wave is introduced from classical relativistic positions. One- and three-dimensional walking waves considered with their wave equations and dispersion equations. It is shown that wave characteristics (de Broglie's and Compton's wavelengths) and corpuscular characteristics (energy-momentum vector and the rest mass) of particle may be expressed through parameters of walking wave. By that the new view on a number concepts of physic related with wave-particle duality is suggested.