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Bound on the Speed of Computation from Generalized Salecker-Wigner Inequalities

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Abstract

Basing on generalized Salecker-Wigner inequalities, we show that the accuracy of a simple computer sets a limit on the speed of computation ν<1044 sec−1. The product of the amount of information I and the speed ν of the computer is limited as \(I\nu^{2}<\frac{1}{4} [1-4t^{2}_{\mathrm{ p}}/\tau^{2}]t^{-2}_{\mathrm{ p}}<\frac{1}{4} t^{-2}_{\mathrm{ p}}\sim\frac{1}{4}\times10^{88}~\mathrm{sec}^{-2} \). For application or comparing, the case of black hole is discussed.

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Acknowledgements

This study is supported in part by National Natural Science Foundation of China under Grant Nos. 11147028 and 11273010, and Hebei Provincial Natural Science Foundation of China under Grant No. A2011201147.

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Authors and Affiliations

  1. College of Physical Science and Technology, Hebei University, Baoding, 071002, China

    Rongjia Yang

  2. Department of Physics, Tsinghua University, Beijing, 100084, China

    Rongjia Yang

  3. School of Physics and Information Science, Shanxi Normal University, Linfen, 041004, China

    Haijun Zhao

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  1. Rongjia Yang
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  2. Haijun Zhao
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Correspondence to Rongjia Yang.

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Yang, R., Zhao, H. Bound on the Speed of Computation from Generalized Salecker-Wigner Inequalities. Int J Theor Phys 52, 3162–3166 (2013). https://doi.org/10.1007/s10773-013-1609-0

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  • DOI: https://doi.org/10.1007/s10773-013-1609-0

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