Universal entropy bound and discrete space-time

preprint2011arXivOpen access

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≥χlP Δx \geq χl_{\mathrm{P}} with χ≥0.1χ\geq 0.1. We go further to get a cut-off of time Δt≥χlP/c 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 χχ and demonstrate the reason why the entropy bounds hold.

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