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An approach to solve the critical problem of testing quantum effects ofspatial noncommutativity is proposed. Magnetic hyperfine structures in aRydberg system induced by fractional angular momentum originated from spatialnoncommutativity are discussed. The orders of the corresponding magnetichyperfine splitting of spectrum $\sim 10^{-7} - 10^{-8} eV$ lie within thelimits of accuracy of current experimental measurements. Experimental tests ofphysics beyond the standard model are the focus of broad interest. We note thatthe present approach is reasonable achievable with current technology. Theproof is based on very general arguments involving only the deformedHeisenberg-Weyl algebra and the fundamental property of angular momentum. Itsexperimental verification would constitute an advance in understanding offundamental significance, and would be a key step towards a decisive test ofspatial noncommutativity.

Testing Spatial Noncommutativity via Magnetic Hyperfine Structure Induced by Fractional Angular Momentum of Rydberg System