  The Wigner spacing distribution has a long and illustrious history in nuclear
physics and in the quantum mechanics of classically chaotic systems. In this
paper, a novel connection between the Wigner distribution and 2D classical
mechanics is introduced. The hypothesis that typical pseudo-trajectories of a
2D ergodic map have a Wignerian nearest-neighbor spacing distribution is put
forward and numerically tested. The standard Euclidean metric is used to
compute the interpoint spacings. In all test cases, the hypothesis is upheld,
and the range of validity of the hypothesis appears to be robust in the sense
that it is not affected by the presence or absence of: (i) mixing; (ii)
time-reversal symmetry; and/or (iii) dissipation.
