  Interaction of linearized gravitational waves with a otherwise free particle
has been studied quantum mechanically in a noncommutative phase-space to
examine whether the particle's response to the gravitational wave gets modified
due to spatial and/or momentum noncommutativity. The result shows that momentum
noncommutativity introduces a oscillatory noise with a specific frequency
determined by the fundamental momentum scale and particle mass. Because of the
global nature of the phase-space noncommutativity such noise will have similar
characteristics for all detector sites and thus will stand out in a data
cross-correlation procedure. If detected, this noise will provide evidence of
momentum noncommutativity and also an estimation of the relevant noncommutative
parameter.
