Stochastic motion of test particle implies that G varies with time

Details Stochastic motion of test particle implies that G varies with time Stochastic motion of test particle implies that G varies with time

2010-09-11

arxiv.org/abs/1009.2182v6

International Journal of Theoretical Physics: Volume 50, Issue 8 (2011), Page 2582-2591

Physics

General Physics

Accepted in International Journal of Theoretical Physics

Scientific paper

10.1007/s10773-011-0753-7

The aim of this letter is to propose a new description to the time varying gravitational constant problem, which naturally implements the Dirac's large numbers hypothesis in a new proposed holographic scenario for the origin of gravity as an entropic force. We survey the effect of the Stochastic motion of the test particle in Verlinde's scenario for gravity\cite{Verlinde}. Firstly we show that we must get the equipartition values for $t\rightarrow\infty$ which leads to the usual Newtonian gravitational constant. Secondly,the stochastic (Brownian) essence of the motion of the test particle, modifies the Newton's 2'nd law. The direct result is that the Newtonian constant has been time dependence in resemblance as \cite{Running}.

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