Modified Newton's gravitational law from deformed Poisson bracket

摘要

In this paper, we obtain the modified Newton's gravitational law from deformed Poisson bracket motivatedby the generalized uncertainty principle. The modified Newton's gravitational law that we obtain contains a term thatplays an important role only in the regime of first order in $ar{eta}$. In the ordinary situation or condition, the modifiedNewton's gravitational law reduces to the conventional Newton's gravitational law.