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Gravity-induced phase shift is important for both the theoretical and practical aspects.It can be helpful for identifying the AdS/CFT correspondence and probing what constitutes the Cooper pairs in high-Tc superconductors.The measurements of time and frequency are very accurate with modern technology.By use of them we can detect the gravity-induced phase shift very accurately.In this paper we first derive from the higher dimensions a formula for the gravity-induced phase shift around a circuit loop,which amounts to an order of 10^{-6}rad.