An Equation of Motion with Quantum Effect in Spacetime

Details An Equation of Motion with Quantum Effect in Spacetime An Equation of Motion with Quantum Effect in Spacetime

2009-05-26

arxiv.org/abs/0905.4104v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages

Scientific paper

In this paper, we shall present a new equation of motion with Quantum effect in spacetime. To do so, we propose a classical-quantum duality. We also generalize the Schordinger equation to the spacetime and obtain a relativistic wave 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 a spacetime.

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