Universal entropy bound and discrete space-time

Abstract

Starting from the universal entropy bounds suggested by Bekenstein and Susskind and applying them to the black-body radiation situation, we get a cut-off of space $\Delta x \geq \chi l_{\mathrm{P}}$ with $\chi \geq 0.1$. We go further to get a cut-off of time $\Delta t \geq \chi l_{\mathrm{P}}/c$, thus, the discrete space-time structure is obtained. With the discrete space-time, we can explain the uncertainty principle. Based on the hypothesis of information theory and the entropy of black holes, we get the precise value of the parameter $\chi$ and demonstrate the reason why the entropy bounds hold.Comment: 9 latex pages, no figure, final version for journal publicatio