One-dimensional relativistic particle as a movable cellular automaton
Statistical Mechanics
2022-06-16 v1
Abstract
The one-dimensional dynamics of identical discrete elements that combine the properties of newtonian mechanical particles and cellular automata are investigated. It is shown that the motion of a cluster of combined discrete elements, which is the simplest observable object of the model, leads to the Feynman chessboard model whose continuous limit gives the Dirac equation.
Cite
@article{arxiv.2206.07485,
title = {One-dimensional relativistic particle as a movable cellular automaton},
author = {Andrey Pupasov-Maksimov},
journal= {arXiv preprint arXiv:2206.07485},
year = {2022}
}
Comments
8 pages, 4 figures