Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-09
Mod.Phys.Lett.A26:2101-2108,2011
Physics
High Energy Physics
High Energy Physics - Theory
9 latex pages, no figure, final version for journal publication
Scientific paper
10.1142/S0217732311036371
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.
Ma Bo-Qiang
Xu Yunqi
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