2022/05/28 by Andrey Pupasov-Maksimov, Pupasov-Maksimov, Andrey
Computer Science · Mathematics · #Cellular Automata and Applications #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2206.07485
openalex publication_date 2022/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.