Stochastic Motion of Test Particle Implies That G Varies with Time
Abstract
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 (Verlinde in <ExternalRef> <RefSource>arXiv:1001.0785</RefSource> <RefTarget Address="http://arxiv.org/abs/arXiv:1001.0785" TargetType="URL"/> </ExternalRef>, 2010). Firstly we show that we must get the equipartition values for t→∞ which leads to the usual Newtonian gravitational constant. Secondly, the stochastic (Brownian) essence of the motion of the test particle, modifies the Newton's 2nd law. The direct result is that the Newtonian constant has been time dependence in resemblance as Setare and Momeni (<ExternalRef> <RefSource>arXiv:1004.0589</RefSource> <RefTarget Address="http://arxiv.org/abs/arXiv:1004.0589" TargetType="URL"/> </ExternalRef>, 2010).
- Publication:
-
International Journal of Theoretical Physics
- Pub Date:
- August 2011
- DOI:
- 10.1007/s10773-011-0753-7
- arXiv:
- arXiv:1009.2182
- Bibcode:
- 2011IJTP...50.2582M
- Keywords:
-
- Entropic force;
- Brownian motion;
- Time varying gravitational constant;
- Physics - General Physics;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- Accepted in International Journal of Theoretical Physics