Lorentz Symmetry and the Curved Spacetime Dirac Equations

Abstract

Abstract In a part of our previous works, we have argued (suggested) that it should – in-principle – be possible for a massive particle to travel at the vacuum speed of light c if it rest-mass is a function of momentum. In-principle, this allows one to explain why – say – neutrinos have a non-zero rest-mass and travel at the vacuum speed of light. We explore this idea in the context of the curved space time Dirac equation which we proposed in some of our earlier works. Additionally, using a hypothetical example, we demonstrate why this idea of a momentum dependent rest-mass must be taken seriously as one may be able to justify (explain/ account for) quantization of momentum and as-well the non-observability of negative energy particles.