Probing Noncommutative Space-Time in the Laboratory Frame

The phenomenological investigation of noncommutative space-time in the laboratory frame are presented. We formulate the apparent time variation of noncommutativity parameter $θ_{μν}$ in the laboratory frame due to the earth's rotation. Furthermore, in the noncommutative QED, we discuss how to probe the electric-like component $\overrightarrow{θ_{E}}=(θ_{01},θ_{02},θ_{03})$ by the process $e^-e^+\toγγ$ at future $e^-e^+$ linear collider. We may determine the magnitude and the direction of $\overrightarrow{θ_{E}}$ by detailed study of the apparent time variation of total cross section. In case of us observing no signal, the upper limit on the magnitude of $\overrightarrow{θ_E^{}}$ can be determined independently of its direction.

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