Probing noncommutative space-time in the laboratory frame

The phenomenological investigation of noncommutative space-time in the laboratory frame is presented. We formulate the apparent time variation of noncommutativity parameter θμν in the laboratory frame due to the earth’s rotation. Furthermore, in the noncommutative QED, we discuss how to probe the electric-like component θE=(θ01,θ02,θ03) by the process \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$e^-e^+\rightarrow\gamma\gamma$\end{document} at future e-e+ linear collider. We may determine the magnitude and the direction of θE by detailed study of the apparent time variation of the total cross-section. If no signal is observed, the upper limit on the magnitude of θE can be determined independent of its direction.