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The Dirac Equation in Classical Statistical Mechanics

G. N. Ord

quant-pharXiv:quant-ph/0206016

Abstract

The Dirac equation, usually obtained by `quantizing' a classical stochastic model is here obtained directly within classical statistical mechanics. The special underlying space-time geometry of the random walk replaces the missing analytic continuation, making the model `self-quantizing'. This provides a new context for the Dirac equation, distinct from its usual context in relativistic quantum mechanics.

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