Modified Newton's gravitational law from deformed Poisson bracket

Authors: CH'NG HAN SIONG

Abstract: In this paper, we obtain the modified Newton's gravitational law from deformed Poisson bracket motivated by the generalized uncertainty principle. The modified Newton's gravitational law that we obtain contains a term that plays an important role only in the regime of first order in $\bar{\beta}$. In the ordinary situation or condition, the modified Newton's gravitational law reduces to the conventional Newton's gravitational law.

Keywords: Generalized uncertainty principle, modified Newton's gravitational law

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