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arXiv · 2206.07485

One-dimensional relativistic particle as a movable cellular automaton

Andrey Pupasov-Maksimov
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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.

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Andrey Pupasov-Maksimov. 2022-05-28. One-dimensional relativistic particle as a movable cellular automaton. https://arxiv.org/abs/2206.07485

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