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

Generalization of electrical resistance scaling to Dirac fields on perforated fractals