Research Projects

Fermions play a crucial role in various astrophysical situations, including matter near black holes, radiation from accretion disks, baryogenesis, neutrino flux, and laboratory experiments like Hall effect and de Hass Vaan Alphen effect. However, understanding these processes requires solving the Dirac equation in the presence of gravitational or magnetic fields. Despite this, issues with Hermiticity, Landau quantization, quantum speed limit, neutrino oscillation, entanglement, and quantum coherence remain. The project aims to uncover these issues, particularly in strong gravitation and magnetic fields. It will explore the quantum speed of electrons and protons influenced by gravity and magnetic fields, the effects of gravity and matter in neutrino oscillations, underlying matter stability, and the apparent pseudo-Hermiticity of the Dirac Hamiltonian in time-dependent spacetime.