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In this paper, we shall present a new equation of motion with Quantum effectin spacetime. To do so, we propose a classical-quantum duality. We alsogeneralize the Schordinger equation to the spacetime and obtain a relativisticwave equation. This will lead a generalization of Einstein's formula $E=m_0c^2$in the spacetime. In general, we have $E=m_0c^2 + \frac{\hbar^2}{12m_0}R$ in aspacetime.

An Equation of Motion with Quantum Effect in Spacetime