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The matter antimatter asymmetry in the Universe is one of the outstandingproblems in physics.and cosmology. CP violation (CPV) is a necessary conditionfor generating such asymmetry but the amount predicted in the Standard Model(SM) from quark oscillations is too small by several orders of magnitude. Thedynamical time operator derived together with Dirac's Hamiltonian from theDirac canonical quantization of special relativity is shown to exhibit a CPVinversely dependent on mass. Applying to all fermions, it follows that extendedStandard Models (ESM) with massive neutrinos contains a much larger CPV as theelectron and muon neutrino masses are six to nine orders smaller than the upand down quarks masses. Furthermore, it also follows that the CPV differsbetween neutrino and antineutrino, in agreement with the T2K observations.

Matter-antimatter Asymmetry, CP Violation and the Time Operator in Relativistic Quantum Mechanics