Finite Magnetic Relaxation Time in Curved Space-Time a Quantum-Relativistic Framework for Nanomaterials

Magnetic relaxation time is a fundamental parameter that governs the temporal response of quantum systems under magnetic fields. Conventional uncertainty-based models predict a nonphysical divergence as the field strength approaches zero, limiting their applicability in weak-field regimes. In this study, a quantum–relativistic framework is developed in which magnetic potential energy contributes to local space–time curvature, yielding a finite and field-dependent relaxation time valid across weak to moderate magnetic regimes. The strength of the proposed model lies in resolving the divergence problem while providing a unified description consistent with both quantum mechanics and relativity. Analytical derivations, supported by comparative models and graphical analyses, demonstrate smooth, realistic behavior that bridges fundamental physics with applied materials research. Beyond theoretical significance, the model offers interdisciplinary implications, including improved predictive capacity for nanomaterials, spintronics, spectroscopy, and biomedical applications such as ferrofluid stability, MRI contrast agents, and magnetic nanoparticle–based hyperthermia. This work highlights relaxation time as a dynamic entity shaped by field-induced curvature, offering new insights into quantum systems at the interface of physics and chemistry.