Generalized Uncertainty Principle in the Presence of Extra Dimensions

作     者：MU Ben-Rong WU Hou-Wen YANG Hai-Tang 木本荣;伍厚文;杨海棠

作者机构：School of Physical ElectronicsUniversity of Electronic Science and Technology of ChinaChengdu 610054 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2011年第28卷第9期

页      面：76-79页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：by the Fundamental Research Funds for the Central Universities under Grant No ZYGX2009X008 and NCET 

主　　题：measurable radius quantum 

摘      要：We argue that in the generalized uncertainty principle(GUP)model,the parameterβ0 whose square root,multiplied by Planck lengthℓp,approximates the minimum measurable distance,varies with energy *** the minimal measurable length and extra dimensions are both suggested by quantum gravity theories,we investigate the models based on the GUP and one extra dimension,compactified with radiusρ.We obtain an inspiring relation√β0ℓp/ρ∼O(1).This relation is also consistent with the predictions at Planck scale and the usual quantum mechanics *** also estimate the application range of the GUP *** turns out that the minimum measurable length is exactly the compactification radius of the extra dimension.