Dgc. Mckeon et Gn. Ord, ON HOW THE (1-DIMENSIONAL DIRAC-EQUATION ARISES IN CLASSICAL PHYSICS(1)), Foundations of physics letters, 9(5), 1996, pp. 447-456
We demonstrate how the (1 + 1)-dimensional Dirac equation can be deriv
ed from the equation for the probability distribution governing a stoc
hastic process when particles are permitted to propagate both backward
s and forwards in time. This derivation uses a real transfer matrix an
d does not require a formal analytic continuation from classical physi
cs. The physical significance of the quantity we interpret as being th
e ''wave function'' is discussed.