Quantum information analysis of the dirac oscillator in a spinning cosmic string space–time under external magnetic fields

In this work, we investigate the quantum information dynamics of the Dirac oscillator (DO) influenced by the Aharonov–Casher (AC) effect in the curved space–time of a cosmic string. By combining relativistic quantum mechanics with geometric and topological effects, we analyze how these elements modify key quantum information measures, namely, the Shannon entropy and Fisher information, thereby uncovering their role in shaping the probability and density distributions of the system. The study reveals how the interplay between the cosmic string geometry and the nontrivial spin–field coupling induced by the AC phase affects the informational content and localization of quantum states. These results offer new insights into the sensitivity of relativistic quantum systems to space–time topology and electromagnetic interactions, contributing to the broader understanding of information-theoretic aspects in curved backgrounds.