English

Universal entropy bound and discrete space-time

High Energy Physics - Theory 2011-09-23 v2 General Relativity and Quantum Cosmology History and Philosophy of Physics

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 ΔxχlP \Delta x \geq \chi l_{\mathrm{P}} with χ0.1\chi \geq 0.1. We go further to get a cut-off of time ΔtχlP/c \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 χ\chi and demonstrate the reason why the entropy bounds hold.

Keywords

Cite

@article{arxiv.1106.1778,
  title  = {Universal entropy bound and discrete space-time},
  author = {Yunqi Xu and Bo-Qiang Ma},
  journal= {arXiv preprint arXiv:1106.1778},
  year   = {2011}
}

Comments

9 latex pages, no figure, final version for journal publication

R2 v1 2026-06-21T18:19:55.157Z