PREPRINT
2F49E3D5-2353-476B-A0D8-D0F1121B5D25

On the Precision of a Length Measurement

Xavier Calmet
arXiv:hep-th/0701073

Submitted on 9 January 2007

Abstract

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.

Preprint

Comment: 5 pages, to appear in the proceedings of the 2006 International School of Subnuclear Physics in Erice and in ''Young Scientists'' online-only supplement of the European Physical Journal C-Direct (Springer)

Subjects: High Energy Physics - Theory; Astrophysics; High Energy Physics - Phenomenology

URL: https://arxiv.org/abs/hep-th/0701073