Baryon Asymmetry in the Universe May Result from a Special Lorentz Violation

In this paper we used a new and special dispersion relation regarding the particles and antiparticles to investigate the issue of Baryon asymmetry of the Universe. With the new dispersion relation of particles and antiparticles, we found that the number density of antiparticles is greater than that of particles. Since our objective world has a significantly higher number density of particles than that of antiparticles, we then referred to previous work and introduced the CPT-odd leptogenesis and Sphaleron process, which can convert the asymmetry of leptons and antileptons into the asymmetry of baryons and antibaryons, that is, the remaining antileptons can be converted into the remaining baryons. Finally, by comparing with the observed baryon asymmetry data in today's universe, we obtained the concrete value of Q that the only undetermined parameter in the introduced Lorentz violation model, and we found that the obtained value of Q did not exceed the upper bound of Q that was derived from various experimental results in previous work. However, since the value of Q obtained in this paper is so small, it brings a challenge for future experiments to detect it.