  I construct perforated, "take-away" fractals that support short-distance
power-law scaling with complex exponents for Dirac (spin-1/2) propagators. The
construction relies on a fortuitous ansatz for Dirac boundary conditions at the
surfaces of spherical voids in a three-dimensional embedding space, and
requires that boundary conditions vary from void to void and are distributed
statistically. The appropriate distribution can ensure that nonzero charges
(but not dipoles, which drive nontrivial power-law scaling) induced in voids
cancel out in spatial averaging.

General Physics