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Abstract
A variant of polymetric generalization of general relativity is discussed regarding the possibility of neutrino propagation with a superlight speed. The examined model admits coexistence in the same space–time manifold of several kinds of particles whose motion is described by different Riemannian metrics related by transformations of special type. It is demonstrated that the existence in the examined model of particles moving with superlight speeds does not lead to unavoidable violation of causality. It is also demonstrated that the superlight particles can contribute to the dark matter.
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