Planck-Scale Corrections to Friedmann Equation
Abstract
Recently, Verlinde proposed that gravity is an emergent phenomenon which originates from an entropic force. In this work, we extend Verlinde's proposal to accommodate generalized uncertainty principles (GUP), which are suggested by some approaches to \emph{quantum gravity} such as string theory, black hole physics and doubly special relativity (DSR). Using Verlinde's proposal and two known models of GUPs, we obtain modifications to Newton's law of gravitation as well as the Friedmann equation. Our modification to the Friedmann equation includes higher powers of the Hubble parameter which is used to obtain a corresponding Raychaudhuri equation. Solving this equation, we obtain a leading Planck-scale correction to Friedmann-Robertson-Walker (FRW) solutions for the equation of state.
Cite
@article{arxiv.1403.5319,
title = {Planck-Scale Corrections to Friedmann Equation},
author = {Adel Awad and Ahmed Farag Ali},
journal= {arXiv preprint arXiv:1403.5319},
year = {2024}
}
Comments
15 pages, no figure, to appear in Central Eur.J.Phys. arXiv admin note: text overlap with arXiv:1301.3508