  The axion electromagnetic anomaly induces an oscillating electric dipole for
{\em any} static magnetic dipole. Static electric dipoles do not produce
oscillating magnetic moments. This is a low energy theorem which is a
consequence of the space-time dependent cosmic background field of the axion in
the limit that it is only locally time dependent $(\overrightarrow{\beta}=0)$.
The electron will acquire an oscillating electric dipole of frequency $m_a$ and
strength $\sim 10^{-32}$ e-cm, three orders of magnitude above the nucleon, and
within four orders of magnitude of the present standard model DC limit. This
may suggest sensitive new experimental venues for the axion dark matter search.
