Spatial noncommutativity removes the degeneracy of nonrelativistic electron gas. In particular one can interpret the noncommutativity parameter appearing in the second-order correlation term, as a new temperature reference. We investigate the effect of the noncommutativity of space on a many-particle system composed of locally interacting nonrelativistic fermions. We calculate the first-order energy shift of the system up to the second order in noncommutativity parameter and as a result the noncommutativity of space eliminates the degeneracy of the model. Thus, as the case of electron gas, one may interpret the noncommutativity parameter as a new reference temperature.
