On the Preponderance of Matter Over Antimatter: Symmetry Properties of the Curved Spacetime Dirac Equations

Abstract

Quantum Electrodynamics (QED) is built on the original Dirac equation [1, 2], an equation that exhibits perfect symmetry in that it is symmetric under charge conjugation (C), space (P) and time (T ) reversal and any combination of these discrete symmetries. We demonstrate herein that the proposed Lorentz invariant Curved Spacetime Dirac Equations (CSTD-Equations) [3], while they obey CPT and PT -Symmetries, these equations readily violate C, P, T , CP and CT -Symmetries. Realising this violation, namely the C-Violation, we take this golden opportunity to suggest that the Curved Spacetime Dirac Equations may help in solving the long standing riddle and mystery of the preponderance of matter over antimatter. We come to the tentative conclusion that if these CSTD-Equations are to explain the preponderance of matter over antimatter, then, photons are to be thought of as described by the flat version of this set of equations, while ordinary matter is to be explained by the positive and negatively curved spacetime versions of this same set of equations.