Abstract
If there is either time reversal (T) or parity symmetry (P) there can be no electric dipole moment for particles whose orientations are fully specified by the orientations of their spin angular momenta. As a result there have been extensive searches for electric dipole moments of particles as tests of these symmetries. CP non-conservation has been observed which implies non-conservation of T if CPT is conserved, but CP non-conservation has only been seen in the decay of the artificially produced KL0. The history of the searches for a neutron electric dipole moment is briefly summarized. The most sensitive current experiments utilize ultra cold neutrons stored in bottles whose walls totally reflect the neutrons. These experiments are described and the current results are given. The results are compared with the predictions of theories that account for the known CP non-conservation in the decay of the KL0.
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