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[en] We consider an elastic medium with the distortion of a vertical line into a vertical spiral and investigate the influence of this topological defect on a spinless quantum particle confined to a cylindrical wire. In addition, we analyse the effects of rotation on this system. We show that there exists an analogue of the Aharonov-Bohm effect for bound states in both rotating and nonrotating reference frames. Furthermore, we show that the topology of the defect yields a term that plays the role of an effective radius in the spectrum of energy in both reference frames. In particular, in the rotating reference frame, a coupling between torsion and the angular velocity arises.