On the Precision of a Length Measurement

Details On the Precision of a Length Measurement On the Precision of a Length Measurement

2007-01-09

arxiv.org/abs/hep-th/0701073v1

Eur.Phys.J.C54:501-505,2008

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, to appear in the proceedings of the 2006 International School of Subnuclear Physics in Erice and in ''Young Scientist

Scientific paper

10.1140/epjc/s10052-008-0538-1

We show that quantum mechanics and general relativity imply the existence of a minimal length. To be more precise, we show that no operational device subject to quantum mechanics, general relativity and causality could exclude the discreteness of spacetime on lengths shorter than the Planck length. We then consider the fundamental limit coming from quantum mechanics, general relativity and causality on the precision of the measurement of a length.

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