The Dirac Equation in Classical Statistical Mechanics

Physics – Quantum Physics

Scientific paper

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Condensed version of a talk given at the MRST conference, 05/02, Waterloo, Ont. 7 pages

Scientific paper

10.1063/1.1524581

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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