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arxiv: 1106.1778 · v2 · pith:LPIYZ7WUnew · submitted 2011-06-09 · ✦ hep-th · gr-qc· physics.hist-ph

Universal entropy bound and discrete space-time

classification ✦ hep-th gr-qcphysics.hist-ph
keywords entropydiscretespace-timeboundscut-offdeltamathrmuniversal
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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.

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