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Following a proposal by Asher Peres we have carried out a neutron interferometer experiment searching for quaternion noncommutative contributions to the neutron-nuclear scattering amplitude. Using slabs of Ti and Al we find that the phase shift experienced by one of the beams in our interferometer is invariant under the interchange of the two slabs to an accuracy of 1 part in 30 000.
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Kaiser et al. (1984) studied this question.
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