  The propagation of charged particles and gauge fields in a compact extra
dimension contributes to $g-2$ of the charged particles. In addition, a
magnetic flux threading this extra dimension generates an electric dipole
moment for these particles. We present constraints on the compactification size
and on the possible magnetic flux imposed by the comparison of data and theory
of the magnetic moment of the muon and from limits on the electric dipole
moments of the muon, neutron and electron.
