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arXiv · 1106.1778

Universal entropy bound and discrete space-time

Yunqi Xu·Bo-Qiang Ma
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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 $ Δx \geq χl_{\mathrm{P}}$ with $χ\geq 0.1$. We go further to get a cut-off of time $ Δt \geq χl_{\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 $χ$ and demonstrate the reason why the entropy bounds hold.

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Yunqi Xu, Bo-Qiang Ma. 2011-07-14. Universal entropy bound and discrete space-time. https://doi.org/10.1142/s0217732311036371

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