Testing the influence of information entropy in the case of Dirac oscillator (spin-1/2) interaction with the cosmic string topological defect

We investigate the Dirac oscillator in the spacetime of a spinning cosmic string in the presence of a uniform magnetic field and an Aharonov–Bohm flux, obtaining exact analytical solutions for the relativistic spectrum and wave functions. The combined effects of curvature, rotation, and electromagnetic flux produce controllable shifts in the effective angular momentum and in the localization properties of the states. We compute the Shannon entropies in coordinate and momentum spaces and show that the geometric and topological parameters act as tunable resources for manipulating quantum uncertainty and information distribution in relativistic systems. Our results reveal how nontrivial spacetime backgrounds can be exploited to engineer quantum–information-relevant features, offering new pathways for relativistic quantum control and entropy-based quantum diagnostics.