1303.1256 (Subir Ghosh)

On The Question of Compatibility Between Generalized Uncertainty
Principle and Equivalence Principle    [PDF]

Subir Ghosh

We derive the extended geodesic equation of motion for a particle obeying the non-canonical algebra based on Generalized Uncertainty Principle (GUP). We show that the GUP effect enters through the parameter $(\beta m^2)/2$ where $\beta$ is the GUP parameter ($\sim $ Planck scale) and $m$ is the particle mass, signalling the violation of Equivalence Principle (EP). The predicted violations are compared to experimental observations for Gravitational Redshift and Law of Reciprocal Action. The bounds derived for $\beta$ are tighter than those obtained from quantum mechanical predictions given in [2] Phys.Rev.Lett.101:221301 (2008).

View original: http://arxiv.org/abs/1303.1256