The exciting experiments of the BABAR and BELLE collaborations have now proven violation of CP symmetry in the neutral B system. This has renewed strong interest in the physics of CP violation. Novel experimental techniques and new highly intense neutron sources are now becoming available to further test the related time reversal symmetry. They will substantially lower the current limit on the neutron electric dipole moment and hence open up new tests of theoretical concepts beyond the Standard Model. These are strongly required to explain the decisive excess of matter versus antimatter in...