Abstract
We show that the random walk model due to Mark Kac which underlies the telegraph equations may be modified to produce Maxwell's field equations in 1+1 dimensions. This provides the field equations with a representation in terms of classical particles. It also establishes the Kac model as a strong conceptual link between the diffusion, telegraph, and Maxwell equations, and suggests that recent simulations of the Schrödinger and Dirac equations are analogous to Maxwell's equation in terms of interpretation.
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References
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Ord, G.N. A stochastic model of Maxwell's equations in 1+1 dimensions. Int J Theor Phys 35, 263–266 (1996). https://doi.org/10.1007/BF02083813
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DOI: https://doi.org/10.1007/BF02083813