The Dirac Equation in Classical Statistical Mechanics
arXiv:quant-ph/0206016 · doi:10.1063/1.1524581
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.
Condensed version of a talk given at the MRST conference, 05/02, Waterloo, Ont. 7 pages