The Relationship Between the Problems of Cosmological Constant and CP Violation

A solution of the cosmological constant problem, which is based on discrete space-time at electroweak scale, agrees excellently with the cosmological observations. The GEO600 gravitational waves experiment may provide important experimental support to such proposed solution. It has been further shown that the phase factor associated with the particle field in discrete space-time could generate CP violation in quark mixing system. Such results reveal that the nature of cosmological constant and CP violation would be fundamentally related to the quantum nature of space-time and thus the development of quantum gravity theory plays an important role for the quest of cosmological constant and CP violation.