Statistical properties of relativistic quantum oscillators in the presence of global monopole

In this paper, we investigate the interactions of the Dirac oscillator in the context of global monopoles, focusing on the effects of fermionic fields in curved space–time. By analyzing the Dirac equation and employing a partition function, we derive essential thermodynamic properties such as Helmholtz free energy, average energy, entropy and heat capacity. The results reveal that variations in the topological defect parameter and angular frequency significantly influence these properties, affecting both energy levels and information measures in position and momentum spaces. This research highlights the intricate relationship between thermodynamic behavior and quantum information, paving the way for further exploration in quantum computing applications.