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We extend Feynman's analysis of the infinite ladder AC circuit to fractal ACcircuits. We show that the characteristic impedances can have positive realpart even though all the individual impedances inside the circuit are purelyimaginary. This provides a physical setting for analyzing wave propagation ofsignals on fractals, by analogy with the Telegrapher's Equation, andgeneralizes the real resistance metric on a fractal, which provides a measureof distance on a fractal, to complex impedances.

Fractal AC circuits and propagating waves on fractals