  Indistinguishability of particles is normally considered to be an inherently
quantum property which cannot be possessed by a classical theory. However,
Saunders has argued that this is incorrect, and that classically
indistinguishable particles are possible. I make this suggestion concrete by
describing a class of microscopic classical theories involving
indistinguishable particles hopping stochastically on a graph, and show that it
should be possible to experimentally create a physical system realizing a
simple model by continuously observing atoms trapped in an optical lattice. The
indistinguishable classical particles obey Bose-Einstein statistics, display
the associated clustering phenomena, and in appropriate models, can even
undergo Bose-Einstein condensation.
